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Class 9 maths 8.2

Posted by Shivang Sharma 2 years, 1 month ago

1 answers

Pooja Arya 2 years, 1 month 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 2 years ago

CBSE > Class 09 > Mathematics

1 answers

Preeti Dabral 2 years ago

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

$\therefore$ OA = OC, OB = OD
And $\angle$ AOB = $\angle$ BOC = $\angle$ COD = $\angle$ AOD = ${90^ \circ }$
To prove: ABCD is a rhombus.
Proof: In $\triangle$ AOD and $\triangle$ BOC,
OA = OC [Given]
$\angle$ AOD = $\angle$ BOC [Given]
OB = OD [Given]
$\therefore$ $\triangle$ AOD $\cong$ $\triangle$ COB [By SAS congruency]
$\Rightarrow$ AD = CB [By C.P.C.T.]……….(i)
Again, In $\triangle$ AOB and $\triangle$ COD,
OA = OC [Given]
$\angle$ AOB = $\angle$ COD [Given]
OB = OD [Given]
$\therefore$ $\triangle$ AOB $\cong$ $\triangle$ COD [By SAS congruency]
$\Rightarrow$ AB = CD [By C.P.C.T.]……….(ii)
Now In $\triangle$ AOB and $\triangle$ BOC,
OA = OC [Given]
$\angle$ AOB = $\angle$ BOC [Given]
OB = OB [Common]
$\therefore$ $\triangle$ AOB $\cong$ $\triangle$ COB [By SAS congruency]
$\Rightarrow$ 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Akshadeep Meshram 2 years, 1 month ago

75m

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The value of 50- root 32×root50 is

Posted by Bhavani S. K 2 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Debayan Kar 2 years, 1 month 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 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Sehajpreet Kaur 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Akshadeep Meshram 2 years, 1 month ago

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Mohak Yadav 2 years, 1 month ago

Question is wrong

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

Posted by Lavesh Sahu 2 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Shivang Sharma 2 years, 1 month ago

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Lavesh Sahu 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

3 answers

Fatima Zafar 2 years, 1 month ago

Answer 5√13

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Akshadeep Meshram 2 years, 1 month ago

Your answer is wrong aman kumar

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Aman Kumar 2 years, 1 month ago

18cm

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Represent underroot 6 on number line

Posted by Anjali Mattu 2 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Debayan Kar 2 years, 1 month ago

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

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Abhishek Ranjan 2 years, 1 month ago

Plz give m answer

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√21

Posted by Ayush Chaurasiya 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Ansh Raj 2 years, 1 month ago

It is irrational number.

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a³+b³= a+b (a²-ab+b²)

Posted by Aditya Raj 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Shubh Goyal 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Preeti Dabral 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

5 answers

Shivang Sharma 2 years, 1 month ago

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Shubh Goyal 2 years, 1 month ago

(x+y)(x-y)

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Garvit Sharma 2 years, 1 month ago

(x-y)whole squre

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Smriti Gupta 2 years, 1 month ago

(x+y)(x-y)

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Garvit Chawla 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Preeti Dabral 2 years, 1 month ago

$y = \frac{{3x + 10}}{5}$

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Shubh Goyal 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

4 answers

Preeti Dabral 2 years, 1 month ago

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

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Smriti Gupta 2 years, 1 month ago

3.5

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Siddhi Gupta 2 years, 1 month 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 2 years, 1 month ago

√10.5=3.24

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give four solutions x+y=13 ...

Posted by Shivanand Tiwari 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Smriti Gupta 2 years, 1 month ago

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

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Using suitable identity evaluate 101 multiply 102

Posted by Nikunj Aggarwal 2 years, 1 month ago

CBSE > Class 09 > Mathematics

5 answers

Smriti Gupta 2 years, 1 month ago

10302

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Shubh Goyal 2 years, 1 month 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 2 years, 1 month 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 . 2 years, 1 month 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 . 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

3 answers

Adarsh Pal 2 years, 1 month ago

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Shivanand Tiwari 2 years, 1 month ago

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Honey Arya 2 years, 1 month ago

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Ab+sn

Posted by Dheeraj Hg 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Shubh Goyal 2 years, 1 month ago

x=-50.25

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x³+y³ = expand

Posted by Garvit Chawla 2 years, 1 month ago

CBSE > Class 09 > Mathematics

3 answers

Smriti Gupta 2 years, 1 month ago

(x+y) (x²-xy+y²)

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Shubh Goyal 2 years, 1 month ago

(x+y) (x²-xy+y²)

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Garvit Chawla 2 years, 1 month 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 2 years, 1 month 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 ._. 2 years, 1 month ago

CBSE > Class 09 > Mathematics

3 answers

Md Shaif 2 years, 1 month 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 ._. 2 years, 1 month ago

0/10

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Bhramjot Singh 2 years, 1 month ago

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How to solve sums in circles

Posted by Nithin S 2 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Rahul ._. 2 years, 1 month ago

By using threorem

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Poojith K Gowda 2 years, 1 month ago

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Rationalise the dinominator of root 6/root 2+root3

Posted by Navilesh M 2 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Smriti Gupta 2 years, 1 month ago

root 12 - root18 upon -1

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Devansh Yadav 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Debayan Kar 2 years, 1 month ago

x²-6x+8/x²-5-14×x²-6/8+2x-x²

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Ncrt ex-7.4

Posted by Vineet Sharma 2 years, 1 month ago

CBSE > Class 09 > Mathematics

1 answers

Shreya Patel 2 years, 1 month ago

Type the question please

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Posted by Amrit Pal 2 years, 1 month ago

CBSE > Class 09 > Mathematics

4 answers

Rahul ._. 2 years, 1 month ago

Andrew Tate brother spotted

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Sudhir Kumar 2 years, 1 month ago

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

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Aaditya Debnath 2 years, 1 month 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 2 years, 1 month 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 2 years, 1 month ago

CBSE > Class 09 > Mathematics

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Which type of multiple questions are coming in exam

Posted by Yash Soni 2 years, 1 month ago

CBSE > Class 09 > Mathematics

2 answers

Hardik Sharma 2 years, 1 month ago

Assertion and reasons

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Dhairya Sharma 2 years, 1 month ago

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