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  • 1 answers

Meghna Thapar 3 years, 10 months ago

The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides. These sides are labeled in relation to an angle.  In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.

  • 3 answers

X-O Harsh & Parveen 3 years, 10 months ago

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Then, 3 < 7/2 < 4 A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2) = 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4 A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1) = 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4 Therefore, 3 < 13/4 < 7/2 < 15/4 < 4 Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

Priya Rana 3 years, 10 months ago

A rational number between 3 and 4 is 1/2 (3 + 4) = 7/2. Then, 3 < 7/2 < 4 A rational number between 3 and 7/2 = 1/2 {3 + 7/2} = 1/2 (3/1 + 7/2) = 1/2 ((6 + 7)/2) = (1/2 × 13/2) = 13/4 A rational number between 7/2 and 4 = 1/2 {7/2 + 4} = 1/2 (7/2 + 4/1) = 1/2 ((7 + 8)/2) = {1/2 × 15/2} = 15/4 Therefore, 3 < 13/4 < 7/2 < 15/4 < 4 Hence, 13/4, 7/2 and 15/4 are the three rational numbers lying between 3 and 4.

Yogita Ingle 3 years, 10 months ago

 

A rational number between 3 and 4 =1/2(3+4)=7/2

Then 3<7/2<4

A rational number between 3 and 7/2

=1/23+7/2=1/2(3/1+72)

=1/2 ​(6+7​)/2 =1/2+13/2=13/4

13/4, 7/2 are two rational number between 3 and 4

3<13/4<7/2<4.

  • 4 answers

Black Yadav 3 years, 10 months ago

2x - 3x = (-x)

Neeraj Rajput 3 years, 10 months ago

-x

Yukthi Raj 3 years, 10 months ago

2x-3x =-x

Ayush Thakur 3 years, 10 months ago

-x
  • 2 answers

Aryan Singh 3 years, 10 months ago

Yes all angles of parallelogram can be equal to each other Eg:Rectangle, Square They both are also parallelogram

Samman Nirvan 3 years, 10 months ago

No, because parallelogram doesn't have all equal angles
  • 1 answers

Yogita Ingle 3 years, 10 months ago

AE/AB = AF / AC and

< BAC = < EAF

Triangle ABC similar to triangle AEF (SAS)

by BPT

EF is parallel to BC

AB: AE = BC/EF

Let l be the length of AB

the AE = l/4

1:(1/4)= BC:2.8

 = BC/2.8

BC = 2.8 X 4 = 11.2m

  • 2 answers

Abhishek Chauvhan 3 years, 10 months ago

ABC is Currently

Yogita Ingle 3 years, 10 months ago

Given ABCD is a rhombus.
Diagonals bisect each other perpendicularly. 
Hence ∠BOC = 90°
Given ∠OCB = 40°  
AD||BC and BD is the transversal
∴ ∠ADB = ∠DBC (Alternate angles)
 Hence in right angled DBOC,
 ∠BOC + ∠OCB + ∠OBC = 180° 
⇒ 90° + 40° + ∠OBC = 180° 
⇒130° + ∠OBC = 180° 
⇒ ∠OBC = 180° - 130° = 50° 
But ∠OBC = ∠DBC 
Therefore, ∠ADB = 50°

  • 2 answers

Preeti Singh 3 years, 10 months ago

It's is a right answer ?

Yogita Ingle 3 years, 10 months ago

Sol:   We have a quadrilateral ABCD such that the diagonals AC and BD bisect each other at right angles at O.

   AO = AO [Common]

  OB = OD [Given that O in the mid-point of BD]

 ∠AOB = ∠AOD  [Each = 90°]

   ΔAOB ≌ ΔAOD [SAS criteria]

 Their corresponding parts are equal.

AB = AD ...(1)

Similarly,  AB = BC ...(2)

BC = CD ...(3)

CD = AD ...(4)

∴ From (1), (2), (3) and (4), we have AB = BC CD = DA

Thus, the quadrilateral ABCD is a rhombus.

  • 5 answers

Preeti Singh 3 years, 10 months ago

30/10: 50/10

Prince Kumar 3 years, 10 months ago

3.5

Shabd Kumar 3 years, 10 months ago

4

Nidhi Kaurav 3 years, 10 months ago

Infinite

Praveen _Raj 3 years, 10 months ago

3 and 5
  • 1 answers

Gaurav Seth 3 years, 10 months ago

1. Draw the graph of each of the following linear equations in two variables:

(i) x+y = 4

Solution:

To draw a graph of linear equations in two variables, let us find out the points to plot.

To find out the points, we have to find the values which x and y can have, satisfying the equation.

Here,

x+y = 4

Substituting the values for x,

When x = 0,

x+y = 4

0+y = 4

y = 4

When x = 4,

x+y = 4

4+y = 4

y = 4–4

y = 0

x y
0 4
4 0

The points to be plotted are (0, 4) and (4,0)

For for click on the given link:

EX 4.3: 

<a href="https://mycbseguide.com/blog/ncert-solutions-for-class-9-maths-exercise-4-3/" ping="/url?sa=t&source=web&rct=j&url=https://mycbseguide.com/blog/ncert-solutions-for-class-9-maths-exercise-4-3/&ved=2ahUKEwjYoO3KiqztAhXEyDgGHRSWDbcQFjAAegQIBRAC" rel="noopener" target="_blank">NCERT Solutions for Class 9 Maths Exercise 4.3 ...</a>

Ex 4.4 : 

<a href="https://mycbseguide.com/blog/ncert-solutions-for-class-9-maths-exercise-4-4/" ping="/url?sa=t&source=web&rct=j&url=https://mycbseguide.com/blog/ncert-solutions-for-class-9-maths-exercise-4-4/&ved=2ahUKEwjgrJHwiqztAhW-yDgGHcABA_cQFjAAegQIAxAC" rel="noopener" target="_blank">NCERT Solutions for Class 9 Maths Exercise 4.4 ...</a>

  • 1 answers

Aryan Singh 3 years, 10 months ago

3-4√2
  • 0 answers
  • 5 answers

Aditya Ranjan 3 years, 10 months ago

K=7

Preeti Singh 3 years, 10 months ago

K=7

Shadik Raza 3 years, 10 months ago

K=7

Shreshth Gupta 3 years, 10 months ago

K=7

Asmi . 3 years, 10 months ago

2x +3y=k On putting the value of x and y 2(2)+3(1)=k 4+3=k 7=k Or k=7 Hope it helps......?
  • 2 answers

Faiz Faiz 3 years, 10 months ago

Rational number between 3 and 5

Smriti Singh 3 years, 10 months ago

2 rational numbers betweeen 8 and 5 are 6 and 7
  • 5 answers

Aryan Singh 3 years, 10 months ago

1×10^7

Shreshth Gupta 3 years, 10 months ago

10000000

Sneha Pant 3 years, 10 months ago

10000*1000 10000000

Himanshi Seksaria 3 years, 10 months ago

10000000

Avinash Thakur 3 years, 10 months ago

10000000
  • 1 answers

Pratyush Pradyun Subrata 3 years, 10 months ago

2. Find the amount of water displaced by a solid spherical ball of diameter (i) 28 cm (ii) 0.21 m (Assume π =22/7) Solution: (i) Diameter = 28 cm Radius, r = 28/2 cm = 14cm Volume of the solid spherical ball = (4/3) πr3 Volume of the ball = (4/3)×(22/7)×143 = 34496/3 Hence, volume of the ball is 34496/3 cm3 (ii) Diameter = 0.21 m Radius of the ball =0.21/2 m= 0.105 m Volume of the ball = (4/3 )πr3 Volume of the ball = (4/3)× (22/7)×0.1053 m3 Hence, volume of the ball = 0.004851 m3
  • 1 answers

Meghana Manohar 3 years, 10 months ago

Make sure that Ur question is proper
  • 2 answers

Himanshi Seksaria 3 years, 10 months ago

9/5

Yogita Ingle 3 years, 10 months ago

2/3×9/2×3/5

= 9/5

  • 1 answers

Gazala Anjum 3 years, 10 months ago

I don't know
  • 0 answers
  • 3 answers

Yogita Ingle 3 years, 10 months ago

Let a =13 cm, b =14 cm, and third side =c cm

Semiperimeter is half of perimeter and is given by,

s=(a+b+c​)/3

⇒18= (13+14+c​)/2

⇒c=36−27

⇒c=9 cm

∴ Third side of the triangle is 9 cm.

Rahul Yadav 3 years, 10 months ago

##i#m#.p#b name n engl

Harsh Dixit 3 years, 10 months ago

9
  • 1 answers

Gaurav Seth 3 years, 10 months ago

Solution of this question

Or

radius will be 4.2 /2 =2.1
since amount of water displaced = volume of body submerged = 4/3 ×pi× 2.1^3=38.772 cm cube

  • 2 answers

Ankit Kumar Sharma 3 years, 10 months ago

Yes,because sum of two angles is greater than the third angle so it is a triangle.

Yogita Ingle 3 years, 10 months ago

2.6 + 3.4 = 6.0

No,because in a triangle sum of any two sides should be greater than third side.

2.6 + 3.4 = 6.0 < 6.1

  • 1 answers

Pratyush Pradyun Subrata 3 years, 10 months ago

GRAMMAR CBSE NOTES CLS 6 7 8 9 10 11 12 MCQ QUESTIONS NCERT BOOKS STUDY MATERIAL NUMBERS CALCULATOR Learn CBSE NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12 NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals Ex 8.1 are part of NCERT Solutions for Class 9 Maths. Here we have given NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals Ex 8.1. NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals Ex 8.1 Ex 8.1 Class 9 Maths Question 1. The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral. Solution: Let the angles of the quadrilateral be 3x, 5x, 9x and 13x. ∴ 3x + 5x + 9x + 13x = 360° [Angle sum property of a quadrilateral] ⇒ 30x = 360° ⇒ x = 360∘30 = 12° ∴ 3x = 3 x 12° = 36° 5x = 5 x 12° = 60° 9x = 9 x 12° = 108° 13a = 13 x 12° = 156° ⇒ The required angles of the quadrilateral are 36°, 60°, 108° and 156°. Ex 8.1 Class 9 Maths Question 2. If the diagonals of a parallelogram are equal, then show that it is a rectangle. Solution: Let ABCD is a parallelogram such that AC = BD.  In ∆ABC and ∆DCB, AC = DB [Given] AB = DC [Opposite sides of a parallelogram] BC = CB [Common] ∴ ∆ABC ≅ ∆DCB [By SSS congruency] ⇒ ∠ABC = ∠DCB [By C.P.C.T.] …(1) Now, AB || DC and BC is a transversal. [ ∵ ABCD is a parallelogram] ∴ ∠ABC + ∠DCB = 180° … (2) [Co-interior angles] From (1) and (2), we have ∠ABC = ∠DCB = 90° i.e., ABCD is a parallelogram having an angle equal to 90°. ∴ ABCD is a rectangle. Ex 8.1 Class 9 Maths Question 3. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus. Solution: Let ABCD be a quadrilateral such that the diagonals AC and BD bisect each other at right angles at O.  ∴ In ∆AOB and ∆AOD, we have AO = AO [Common] OB = OD [O is the mid-point of BD] ∠AOB = ∠AOD [Each 90] ∴ ∆AQB ≅ ∆AOD [By,SAS congruency ∴ AB = AD [By C.P.C.T.] ……..(1) Similarly, AB = BC .. .(2) BC = CD …..(3) CD = DA ……(4) ∴ From (1), (2), (3) and (4), we have AB = BC = CD = DA Thus, the quadrilateral ABCD is a rhombus. Alternatively : ABCD can be proved first a parallelogram then proving one pair of adjacent sides equal will result in rhombus. Ex 8.1 Class 9 Maths Question 4. Show that the diagonals of a square are equal and bisect each other at right angles. Solution: Let ABCD be a square such that its diagonals AC and BD intersect at O.  (i) To prove that the diagonals are equal, we need to prove AC = BD. In ∆ABC and ∆BAD, we have AB = BA [Common] BC = AD [Sides of a square ABCD] ∠ABC = ∠BAD [Each angle is 90°] ∴ ∆ABC ≅ ∆BAD [By SAS congruency] AC = BD [By C.P.C.T.] …(1) (ii) AD || BC and AC is a transversal. [∵ A square is a parallelogram] ∴ ∠1 = ∠3 [Alternate interior angles are equal] Similarly, ∠2 = ∠4 Now, in ∆OAD and ∆OCB, we have AD = CB [Sides of a square ABCD] ∠1 = ∠3 [Proved] ∠2 = ∠4 [Proved] ∴ ∆OAD ≅ ∆OCB [By ASA congruency] ⇒ OA = OC and OD = OB [By C.P.C.T.] i.e., the diagonals AC and BD bisect each other at O. …….(2) (iii) In ∆OBA and ∆ODA, we have OB = OD [Proved] BA = DA [Sides of a square ABCD] OA = OA [Common] ∴ ∆OBA ≅ ∆ODA [By SSS congruency] ⇒ ∠AOB = ∠AOD [By C.P.C.T.] …(3) ∵ ∠AOB and ∠AOD form a linear pair. ∴∠AOB + ∠AOD = 180° ∴∠AOB = ∠AOD = 90° [By(3)] ⇒ AC ⊥ BD …(4) From (1), (2) and (4), we get AC and BD are equal and bisect each other at right angles. Ex 8.1 Class 9 Maths Question 5. Show that if the diagonals of a quadrilateral are equal and bisect each other at right angles, then it is a square. Solution: Let ABCD be a quadrilateral such that diagonals AC and BD are equal and bisect each other at right angles.  Now, in ∆AOD and ∆AOB, We have ∠AOD = ∠AOB [Each 90°] AO = AO [Common] OD = OB [ ∵ O is the midpoint of BD] ∴ ∆AOD ≅ ∆AOB [By SAS congruency] ⇒ AD = AB [By C.P.C.T.] …(1) Similarly, we have AB = BC … (2) BC = CD …(3) CD = DA …(4) From (1), (2), (3) and (4), we have AB = BC = CD = DA ∴ Quadrilateral ABCD have all sides equal. In ∆AOD and ∆COB, we have AO = CO [Given] OD = OB [Given] ∠AOD = ∠COB [Vertically opposite angles] So, ∆AOD ≅ ∆COB [By SAS congruency] ∴∠1 = ∠2 [By C.P.C.T.] But, they form a pair of alternate interior angles. ∴ AD || BC Similarly, AB || DC ∴ ABCD is a parallelogram. ∴ Parallelogram having all its sides equal is a rhombus. ∴ ABCD is a rhombus. Now, in ∆ABC and ∆BAD, we have AC = BD [Given] BC = AD [Proved] AB = BA [Common] ∴ ∆ABC ≅ ∆BAD [By SSS congruency] ∴ ∠ABC = ∠BAD [By C.P.C.T.] ……(5) Since, AD || BC and AB is a transversal. ∴∠ABC + ∠BAD = 180° .. .(6) [ Co – interior angles] ⇒ ∠ABC = ∠BAD = 90° [By(5) & (6)] So, rhombus ABCD is having one angle equal to 90°. Thus, ABCD is a square. Ex 8.1 Class 9 Maths Question 6. Diagonal AC of a parallelogram ABCD bisects ∠A (see figure). Show that (i) it bisects ∠C also, (ii) ABCD is a rhombus.  Solution: We have a parallelogram ABCD in which diagonal AC bisects ∠A ⇒ ∠DAC = ∠BAC  (i) Since, ABCD is a parallelogram. ∴ AB || DC and AC is a transversal. ∴ ∠1 = ∠3 …(1) [ ∵ Alternate interior angles are equal] Also, BC || AD and AC is a transversal. ∴ ∠2 = ∠4 …(2) [ v Alternate interior angles are equal] Also, ∠1 = ∠2 …(3) [ ∵ AC bisects ∠A] From (1), (2) and (3), we have ∠3 = ∠4 ⇒ AC bisects ∠C. (ii) In ∆ABC, we have ∠1 = ∠4 [From (2) and (3)] ⇒ BC = AB …(4) [ ∵ Sides opposite to equal angles of a ∆ are equal] Similarly, AD = DC ……..(5) But, ABCD is a parallelogram. [Given] ∴ AB = DC …(6) From (4), (5) and (6), we have AB = BC = CD = DA Thus, ABCD is a rhombus.
  • 5 answers

Saransh Gupta 3 years, 10 months ago

4

Saswat Jyotiraditya Jena 3 years, 10 months ago

22 or 4

Sarthak Halder 3 years, 10 months ago

4

Akash Raj 3 years, 10 months ago

Laura

Ayush Raj 3 years, 10 months ago

4
  • 5 answers

Shreshth Gupta 3 years, 10 months ago

5

Divya Khola 3 years, 10 months ago

Length of PQ = 4 cm

Prince Kumar Sah 3 years, 10 months ago

5

Sarthak Halder 3 years, 10 months ago

5

Prabhav Bairwa 3 years, 10 months ago

5

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