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Class 9 maths 8.2

Posted by Shivang Sharma 1 year, 7 months ago

1 answers

Pooja Arya 1 year, 7 months ago

Class 9 8.2 is about mid point theorem It says .. In a triangle, the line segment that joins the mid point of any two sides is parallel to the third side also half of it

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Show that diagonals of a square that quadrilateral PQRS is a rhombus

Posted by Charu Singh 1 year, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Preeti Dabral 1 year, 6 months ago

Given: Let ABCD is a quadrilateral.
Let its diagonal AC and BD bisect each other at right angle at point O.

{tex}\therefore {/tex}OA = OC, OB = OD
And {tex}\angle {/tex}AOB = {tex}\angle {/tex}BOC = {tex}\angle {/tex}COD = {tex}\angle {/tex}AOD = {tex}{90^ \circ }{/tex}
To prove: ABCD is a rhombus.
Proof: In {tex}\triangle{/tex}AOD and {tex}\triangle{/tex} BOC,
OA = OC [Given]
{tex}\angle {/tex}AOD = {tex}\angle {/tex}BOC [Given]
OB = OD [Given]
{tex}\therefore {/tex} {tex}\triangle{/tex}AOD {tex} \cong{/tex} {tex}\triangle{/tex}COB [By SAS congruency]
{tex} \Rightarrow {/tex} AD = CB [By C.P.C.T.]……….(i)
Again, In {tex}\triangle{/tex}AOB and {tex}\triangle{/tex}COD,
OA = OC [Given]
{tex}\angle {/tex} AOB = {tex}\angle {/tex}COD [Given]
OB = OD [Given]
{tex}\therefore {/tex} {tex}\triangle{/tex}AOB {tex} \cong {/tex} {tex}\triangle{/tex}COD [By SAS congruency]
{tex} \Rightarrow {/tex} AB = CD [By C.P.C.T.]……….(ii)
Now In {tex}\triangle{/tex}AOB and {tex}\triangle{/tex}BOC,
OA = OC [Given]
{tex}\angle {/tex} AOB = {tex}\angle {/tex}BOC [Given]
OB = OB [Common]
{tex}\therefore {/tex} {tex}\triangle{/tex}AOB {tex} \cong{/tex} {tex}\triangle{/tex}COB [By SAS congruency]
{tex} \Rightarrow {/tex} AB = BC [By C.P.C.T.]……….(iii)
From eq. (i), (ii) and (iii),
AD = BC = CD = AB
And the diagonals of quadrilateral ABCD bisect each other at right angle.
Therefore, ABCD is a rhombus.

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A circular path with center A mathav walk at uniform speed of 0.5 m/s from gate p and reach the center of park in 150 sec what is the streat distance between the center of the path and gate M

Posted by Jaini Gandhi 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Akshadeep Meshram 1 year, 7 months ago

75m

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The value of 50- root 32×root50 is

Posted by Bhavani S. K 1 year, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Debayan Kar 1 year, 7 months ago

50-√32×√50 =50-4√2×5√2 =50-20×√2×√2 =50-20×2 =50-40 =10

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Akshadeep Meshram 1 year, 7 months ago

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ABCD is a rhombus and P,Q,R,S are the mid point of the sides AB,BC,CD,DA respectively. Show that the quadrilateral PQRS is a rectangle .

Posted by Sasmita Mallick 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Sehajpreet Kaur 1 year, 7 months ago

In Δ ABC, P and Q are the mid-points of sides AB and BC respectively. ∴ PQ || AC and PQ = 1 2 AC ( Using mid-point theorem) …..(1) In Δ ADC, R and S are the mid - points of CD and AD respectively. ∴ RS || AC and RS = 1 2 AC ( Using mid-point theorem) …..(2) From equation (1) and (2) , we obtain PQ || RS and PQ = RS Since in quadrilateral PQRs, one pair of opposite sides is equal and parallel to each other , it is a parallelogram. Let the diagonals of rhombus ABCD intersect each other at point O. In Quadrilateral OMQN, MQ || ON ( ∵ PQ || AC) QN || OM ( ∵ QR || BD) Therefore, OMQN is a parallelogram. ∴ ∠ M Q N = ∠ N O M and ∠ P Q R = ∠ N O M However, ∠ N O M = 90 ∘ (Diagonals of a rhombus are perpendicular to each other) ∴ ∠ P Q R = 90 ∘ Clearly , PQRS is a parallelogram having one of its interior angles as 90 ∘ Hence, PQRS is a rectangle.

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Factorise : √3x²+4x+3x

Posted by Riya Singh 1 year, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Akshadeep Meshram 1 year, 7 months ago

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Mohak Yadav 1 year, 7 months ago

Question is wrong

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Which irrational number does not lie between 2/7 & 3/5

Posted by Lavesh Sahu 1 year, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Shivang Sharma 1 year, 7 months ago

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Lavesh Sahu 1 year, 7 months ago

17/35

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Solve if you are intelligent! In triangle ABC, AD is the median. AC = 12cm, DC = 10cm, AD = 15cm. Find the length AB. Hint:- AD bisects the side BC

Posted by Akshadeep Meshram 1 year, 7 months ago

CBSE > Class 09 > Mathematics

3 answers

Fatima Zafar 1 year, 7 months ago

Answer 5√13

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Akshadeep Meshram 1 year, 7 months ago

Your answer is wrong aman kumar

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Aman Kumar 1 year, 7 months ago

18cm

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Represent underroot 6 on number line

Posted by Anjali Mattu 1 year, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Debayan Kar 1 year, 7 months ago

1. Material required are ruler , notebook, pencil with compass and eraser

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Abhishek Ranjan 1 year, 7 months ago

Plz give m answer

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√21

Posted by Ayush Chaurasiya 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Ansh Raj 1 year, 7 months ago

It is irrational number.

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a³+b³= a+b (a²-ab+b²)

Posted by Aditya Raj 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Shubh Goyal 1 year, 7 months ago

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Two Parallel beams EG and EH are supported using two poles AC and BD If the beams are also parallel to ground ON.If C is 70. D is 60. Find hyd Find btg Find yxc SFX Ase

Posted by Priyanshu Aryan 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Preeti Dabral 1 year, 7 months ago

Angle HYD = 120°

Angle BTG = 60°

Angle YXC = 70°

Angle SXF = 70°

Angle ASE = 70°

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x²-y² = expand

Posted by Garvit Chawla 1 year, 7 months ago

CBSE > Class 09 > Mathematics

5 answers

Shivang Sharma 1 year, 7 months ago

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Shubh Goyal 1 year, 7 months ago

(x+y)(x-y)

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Garvit Sharma 1 year, 7 months ago

(x-y)whole squre

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Smriti Gupta 1 year, 7 months ago

(x+y)(x-y)

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Garvit Chawla 1 year, 7 months ago

(x+y) (x-y)

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Express y in term of x in the equation 5y-3x-10=0

Posted by Anushka Awasthi 1 year, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Preeti Dabral 1 year, 7 months ago

{tex}y = \frac{{3x + 10}}{5}{/tex}

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Shubh Goyal 1 year, 7 months ago

y=3x+10/5

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Find the radius of sphere whose surface area is 154 cm square.

Posted by Hetvi Patel 1 year, 7 months ago

CBSE > Class 09 > Mathematics

4 answers

Preeti Dabral 1 year, 7 months ago

Let the radius of the sphere be r cm.
Surface area = 154 cm²
⇒ {tex}4\pi r^2{/tex} = 154
⇒ {tex}4\times{22\over7}\times r^2=154{/tex}
⇒ {tex}r^2={{154\times7}\over4\times22}={49\over4}{/tex}
⇒ r = {tex}{\sqrt{49\over4}}={7\over2}{/tex}
⇒ r = 3.5 cm
∴ the radius of the sphere is 3.5 cm.

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Smriti Gupta 1 year, 7 months ago

3.5

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Siddhi Gupta 1 year, 7 months ago

S.a=154 4πr²=154 r²=154 x 7\4 x 22 r=√49/7 r=7/2 r=3.5cm Radius of sphere is 3.5 cm

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Shubh Goyal 1 year, 7 months ago

√10.5=3.24

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give four solutions x+y=13 ...

Posted by Shivanand Tiwari 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Smriti Gupta 1 year, 7 months ago

(0,13),(11,2),(10,3),(12,1)

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Using suitable identity evaluate 101 multiply 102

Posted by Nikunj Aggarwal 1 year, 7 months ago

CBSE > Class 09 > Mathematics

5 answers

Smriti Gupta 1 year, 7 months ago

10302

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Shubh Goyal 1 year, 7 months ago

101×102=(100+1)(100+2) Now, using identify (x+a)(x+b)=x 2 +(a+b)x+ab, we have (100+1)(100+2)=(100) 2 +(1+2)100+(1)(2) =10000+(3)100+2=10000+300+2 =10302

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Shivanand Tiwari 1 year, 7 months ago

101×102=(100+1)(100+2) Now, using identify (x+a)(x+b)=x 2 +(a+b)x+ab, we have (100+1)(100+2)=(100) 2 +(1+2)100+(1)(2) =10000+(3)100+2=10000+300+2 =10302

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Rudra . 1 year, 7 months ago

101×102=(100+1)(100+2) Now, using identify (x+a)(x+b)=x2+(a+b)x+ab, we have (100+1)(100+2)=(100)2+(1+2)100+(1)(2) =10000+(3)100+2 =10000+300+2 =10302

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Rudra . 1 year, 7 months ago

101×102=(100+1)(100+2) Now, using identify (x+a)(x+b)=x 2 +(a+b)x+ab, we have (100+1)(100+2)=(100) 2 +(1+2)100+(1)(2) =10000+(3)100+2=10000+300+2 =10302

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Base angles of an isosceles triangle are equal

Posted by Kunal Mankar 1 year, 7 months ago

CBSE > Class 09 > Mathematics

3 answers

Adarsh Pal 1 year, 7 months ago

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Shivanand Tiwari 1 year, 7 months ago

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Honey Arya 1 year, 7 months ago

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Ab+sn

Posted by Dheeraj Hg 1 year, 7 months ago

CBSE > Class 09 > Mathematics

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Find the remainder when p(x) 12x³-13x²-5x+7 divided by g(x)= 2+3x

Posted by Aditya Raj 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Shubh Goyal 1 year, 7 months ago

x=-50.25

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x³+y³ = expand

Posted by Garvit Chawla 1 year, 7 months ago

CBSE > Class 09 > Mathematics

3 answers

Smriti Gupta 1 year, 7 months ago

(x+y) (x²-xy+y²)

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Shubh Goyal 1 year, 7 months ago

(x+y) (x²-xy+y²)

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Garvit Chawla 1 year, 7 months ago

(x+y) (x²-xy+y²)

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In the middle of the park abcd in the form of a parallelogram form so that ab=cd,ab parallel cd and ad=bc ,ad parallel bc Municipality converted this park into a rectangular form by adding land in the form of ∆apd and ∆bcq both the triangular shape of land were covered by planting flower plants 1.show that ∆apd and ∆bqc are congruent 2.pd is equal to which side 3.show tha ∆abc and ∆cd are congruent

Posted by Parmit Kashyap 1 year, 7 months ago

CBSE > Class 09 > Mathematics

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(a²-b²)³+(b²-c²)³+(c²+a²)³/(a-c)³+(b-c)³+(c-a)³=??

Posted by Rahul ._. 1 year, 7 months ago

CBSE > Class 09 > Mathematics

3 answers

Md Shaif 1 year, 7 months ago

If two equal chords of a circle intersect with in the circle. Prove that the Segnment of one chord are equal to corresponding Segnment of the other chord

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Rahul ._. 1 year, 7 months ago

0/10

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Bhramjot Singh 1 year, 7 months ago

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How to solve sums in circles

Posted by Nithin S 1 year, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Rahul ._. 1 year, 7 months ago

By using threorem

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Poojith K Gowda 1 year, 7 months ago

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Rationalise the dinominator of root 6/root 2+root3

Posted by Navilesh M 1 year, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Smriti Gupta 1 year, 7 months ago

root 12 - root18 upon -1

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Devansh Yadav 1 year, 7 months ago

Answer is 6 root 2 - root 3 upon -1

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XSquare minus 6x + 8 / x square - 5 x minus 14 multiplied by x square minus x minus 6 / 8 + 2 x minus x square

Posted by N Tejaswini 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Debayan Kar 1 year, 7 months ago

x²-6x+8/x²-5-14×x²-6/8+2x-x²

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Ncrt ex-7.4

Posted by Vineet Sharma 1 year, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Shreya Patel 1 year, 7 months ago

Type the question please

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Posted by Amrit Pal 1 year, 7 months ago

CBSE > Class 09 > Mathematics

4 answers

Rahul ._. 1 year, 7 months ago

Andrew Tate brother spotted

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Sudhir Kumar 1 year, 7 months ago

Be a backbencher like me so you can handle this situation daily without any help

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Aaditya Debnath 1 year, 7 months ago

You can be happy by thinking that these are not the last exams of life. These exams are nothing in front of life's exams. Life gives you surprise tests everyday. What matters is where you are after 10 years. Will you be earning a good amount after 10 years? This matters. But marks are just numbers they cannot judge your personality.

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Hardik Sharma 1 year, 7 months ago

Because It is were daily mood

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Assertion: India and Newzealand play ODI in Raipur the probability of India winning the match is 0.68 the probability of the Newzealand winning is 0.32. Reason: P(E1)+P(E2) =1 where P(E1) and P(E2) means probability of E1 and E2 events .

Posted by Rishika Soni 1 year, 7 months ago

CBSE > Class 09 > Mathematics

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Which type of multiple questions are coming in exam

Posted by Yash Soni 1 year, 7 months ago

CBSE > Class 09 > Mathematics

2 answers

Hardik Sharma 1 year, 7 months ago

Assertion and reasons

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Dhairya Sharma 1 year, 7 months ago

Don't post personal information, mobile numbers and other details.
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