RD Sharma Class 10 Solutions Chapter 4 Exercise 4.4: This exercise delves deeper into the basic proportionality theorem. A few problems are solved in the proper manner to reinforce the fundamental principle. Students can use the RD Sharma Class 10 Solutions to learn how to present and make their solutions error-free. Students who want to get good grades in Class 10 Maths Chapter 4 Exercise 4.4 can download the RD Sharma Solutions for Class 10 Maths Chapter 4 Exercise 4.4 PDF.
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RD Sharma Class 10 Solutions Chapter 4 Exercise 4.4
Access answers to RD Sharma Solutions Class 10 Maths Chapter 4 Exercise 4.4- Important Question with Answers
1. (i) In fig. 4.70, if AB∥CD, find the value of x.
Solution:
It’s given that AB∥CD.
Required to find the value of x.
We know that,
Diagonals of a parallelogram bisect each other.
So,
AO/ CO = BO/ DO
⇒ 4/ (4x – 2) = (x +1)/ (2x + 4)
4(2x + 4) = (4x – 2)(x +1)
8x + 16 = x(4x – 2) + 1(4x – 2)
8x + 16 = 4x2 – 2x + 4x – 2
-4x2 + 8x + 16 + 2 – 2x = 0
-4x2 + 6x + 8 = 0
4x2 – 6x – 18 = 0
4x2 – 12x + 6x – 18 = 0
4x(x – 3) + 6(x – 3) = 0
(4x + 6) (x – 3) = 0
∴ x = – 6/4 or x = 3
(ii) In fig. 4.71, if AB∥CD, find the value of x.
Solution:
It’s given that AB∥CD.
Required to find the value of x.
We know that,
Diagonals of a parallelogram bisect each other
So,
AO/ CO = BO/ DO
⇒ (6x – 5)/ (2x + 1) = (5x – 3)/ (3x – 1)
(6x – 5)(3x – 1) = (2x + 1)(5x – 3)
3x(6x – 5) – 1(6x – 5) = 2x(5x – 3) + 1(5x – 3)
18x2 – 10x2 – 21x + 5 + x +3 = 0
8x2 – 16x – 4x + 8 = 0
8x(x – 2) – 4(x – 2) = 0
(8x – 4)(x – 2) = 0
x = 4/8 = 1/2 or x = -2
∴ x= 1/2
(iii) In fig. 4.72, if AB ∥ CD. If OA = 3x – 19, OB = x – 4, OC = x- 3 and OD = 4, find x.
Solution:
It’s given that AB∥CD.
Required to find the value of x.
We know that,
Diagonals of a parallelogram bisect each other
So,
AO/ CO = BO/ DO
(3x – 19)/ (x – 3) = (x–4)/ 4
4(3x – 19) = (x – 3) (x – 4)
12x – 76 = x(x – 4) -3(x – 4)
12x – 76 = x2 – 4x – 3x + 12
-x2 + 7x – 12 + 12x -76 = 0
-x2 + 19x – 88 = 0
x2 – 19x + 88 = 0
x2 – 11x – 8x + 88 = 0
x(x – 11) – 8(x – 11) = 0
∴ x = 11 or x = 8
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FAQs on RD Sharma Class 10 Solutions Chapter 4 Exercise 4.4
Is it important to study all of the concepts included in RD Sharma Class 10 Solutions Chapter 4 Exercise 4.4?
Yes, learning all of the concepts included in RD Sharma Solutions for Class 10 Maths Chapter 4 Exercise 4.4 is required in order to achieve high scores on the Class 10 board exams. These solutions were created by subject matter specialists who compiled model questions that covered all of the textbook’s exercise questions.
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