RD Sharma Class 10 Solutions Chapter 3 Exercise 3.4 (Updated for 2023-24)

RD Sharma Class 10 Solutions Chapter 3 Exercise 3.4: In this exercise, the method of cross-multiplication is extensively examined. The RD Sharma Class 10 Solutions clearly explains how to solve systems of equations using the cross-multiplication approach. Additionally, students can use the RD Sharma Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Exercise 3.4 PDF, which is available below.

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RD Sharma Class 10 Solutions Chapter 3 Exercise 3.4

Access answers to RD Sharma Solutions Class 10 Maths Chapter 3 Exercise 3.4- Important Question with Answers

Solve each of the following systems of equations by the method of cross-multiplication.
Question 1.
x + 2y + 1 = 0
2x – 3y – 12 = 0 (C.B.S.E. 1992)
Solution:

Question 2.
3x + 2y + 25 = 0
2x + y + 10 = 0 (C.B.S.E. 1992)
Solution:

Question 3.
2x + y = 35
3x + 4y = 65 (C.B.S.E. 1993)
Solution:

Question 4.
2x – y = 6
x – y = 2 (C.B.S.E. 1994)
Solution:

Question 5.
x+yxy=2,x−yxy=6
Solution:

Question 6.
ax + by = a – b
bx – ay = a + b
Solution:
ax + by = a – b
bx – ay = a + b

Question 7.
x + ay = b
ax – by = c
Solution:
x + ay = b

Question 8.
ax + by = a²
bx + ay = b²
Solution:

Question 9.

Solution:

Question 10.

Solution:

Question 11.

Solution:

Question 12.

Solution:

Question 13.
xa+yb=a+b
xa2+yb2=2
Solution:

Question 14.
xa=yb
ax + by = a² + b²
Solution:

Question 15.
2ax + 3by = a + 2b
3ax + 2by = 2a + b
Solution:

Question 16.
5ax + 6by = 28
3ax + 4by = 18
Solution:

Question 17.
(a + 2b) x + (2a – b) y = 2
(a – 2b) x + (2a + b) y = 3
Solution:

Question 18.

Solution:

Question 19.

Solution:

Question 20.
(a – b) x + (a + b) y = 2a² – 2b²
(a + b) (x + y) = 4ab
Solution:

Question 21.
a²x + b²y = c²
b²x + a²y = d²
Solution:

Question 22.
ax + by = a+b2
3x + 5y = 4
Solution:


Hence x = 12 , y = 12

Question 23.
2 (ax – by) + a + 4b = 0
2 (bx + ay) + b – 4a = 0 (C.B.S.E. 2004)
Solution:

Question 24.
6 (ax + by) = 3a + 2b
6 (bx – ay) = 3b – 2a (C.B.S.E. 2004)
Solution:

Question 25.
a2x−b2y=0
a2bx−b2ay=a+b,x,y≠0
Solution:

Question 26.
mx – ny = m² + n²
x + y = 2m (C.B.S.E. 2006C)
Solution:

Question 27.

Solution:

Question 28.

Solution:

We have provided complete details of RD Sharma Class 10 Solutions Chapter 3 Exercise 3.4. If you have any queries related to CBSE Class 10, feel free to ask us in the comment section below.

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