RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 (Updated for 2021-22)

RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5

RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5: This exercise investigates all of these solvability conditions. Kopykitab’s experts prepared RD Sharma Class 10 Solutions can assist students in gaining a good conceptual understanding of the subject. Students can also refer to the RD Sharma Solutions for Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables Exercise 3.5 PDF for more information.

Download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 Free PDF

 


RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5

Access answers to RD Sharma Solutions Class 10 Maths Chapter 3 Exercise 3.5- Important Question with Answers

Question 1.

x – 3y = 3
3x – 9y = 2 (C.B.S.E. 1994)
Solution:
RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 2.
2x + y = 5
4x + 2y = 10 (C.B.S.E. 1995C)
Solution:
Pair Of Linear Equations In Two Variables Class 10 RD Sharma

Question 3.
3x – 5y = 20
6x – 10y = 40 (C.B.S.E. 1993)
Solution:
RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Solutions Pair Of Linear Equations In Two Variables

Question 4.
x – 2y = 8
5x – 10y = 10 (C.B.S.E. 1993)
Solution:
RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Find the value of k for which the following system of equations has a unique solution: (5 – 8)
Question 5.
kx + 2y = 5
3x + y = 1 (C.B.S.E. 1990C, 92C)
Solution:
RD Sharma Class 10 Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 6.
4x + ky + 8 = 0
2x + 2y + 2 = 0 [NCERT]
Solution:
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 7.
4x – 5y = k
2x – 3y = 12
Solution:
Learncbse.In Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 8.
x + 2y = 3
5x + ky + 7 = 0
Solution:
Class 10 RD Sharma Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Find the value of k for which each of the following systems of equations have infinitely many solution : (9 – 19)
Question 9.
2x + 3y – 5 = 0
6x + ky – 15 = 0 (C.B.S.E. 1991)
Solution:
Class 10 RD Sharma Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 10.
4x + 5y = 3
kx + 15y = 9 (C.B.S.E. 1990C)
Solution:
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables

Question 11.
kx – 2y + 6 = 0
4x – 3y + 9 = 0
Solution:
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables

Question 12.
8x + 5y = 9
kx + 10y = 18 (C.B.S.E. 1999)
Solution:
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables

Question 13.
2x – 3y = 7
(k + 2) x + (2k + 1) y = 3 (2k – 1) (C.B.S.E. 1999)
Solution:
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables

Question 14.
2x + 3y = 2
(k + 2)x + (2k + 1) y = 2 (k – 1) (C.B.S.E. 2000, 2003)
Solution:
RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables

Question 15.
x + (k + 1) y = 4
(k + 1) x + 9y = 5k + 2 (C.B.S.E. 2000C)
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 16.
kx + 3y = 2k + 1
2(k+ 1) x + 9y = 7k + 1 (C.B.S.E. 2000C)
Solution:
RD Sharma Class 10 Book Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables

Question 17.
2x + (k – 2) y = k
6x + (2k – 1) y = 2k + 5 (C.B.S.E. 2000C)
Solution:
Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables
Class 10 RD Sharma Chapter 3 Pair Of Linear Equations In Two Variables

Question 18.
2x + 3y = 7
(k + 1) x + (2k – 1)y = 4k + 1 (C.B.S.E. 2001)
Solution:
RD Sharma Maths Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 19.
2x + 3y = k
(k – 1) x + (k + 2) y = 3k (C.B.S.E. 2001)
Solution:
RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Find the value of k for which the following system of equations has no solution : (20 – 25) :
Question 20.
kx – 5y = 2
6x + 2y = 1 (C.B.S.E. 1994C)
Solution:
RD Sharma 10 Class Solutions Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Textbook PDF Chapter 3 Pair Of Linear Equations In Two Variables

Question 21.
x + 2y = 0
2x + ky = 5 (C.B.S.E. 1993C)
Solution:
RD Sharma Class 10 Textbook PDF Chapter 3 Pair Of Linear Equations In Two Variables

Question 22.
3x – 4y + 7 = 0
kx + 3y – 5 = 0 (C.B.S.E. 1996)
Solution:
Maths RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables
10th Maths Solution Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 23.
2x – ky + 3 = 0
3x + 2y – 1 = 0 (C.B.S.E. 1996)
Solution:
RD Sharma 10 Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 24.
2x + ky = 11
5x – 7y = 5 (C.B.S.E. 1995)
Solution:
RD Sharma Class 10 Book Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 25.
kx + 3y = 3
12x + ky = 6
Solution:
Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
Solution Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 26.
For what value of k, the following system of equations will be inconsistant ?
4x + 6y = 11
2x + ky = 1 (C.B.S.E. 1994C)
Solution:
RD Sharma Maths Book For Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables

Question 27.
For what value of a the system of equations
αx + 3y = α – 3
12x + αy = α
will have no solution. (C.B.S.E. 2003)
Solution:
RD Sharma Maths Book For Class 10 Solution Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Maths Chapter 3 Pair Of Linear Equations In Two Variables

Question 28.
Find the value of k for which the system
kx + 2y = 5
3x + y = 1
has (i) a unique solution, and (ii) no solution.
Solution:
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 3 Pair Of Linear Equations In Two Variables
k = 6

Question 29.
Prove that there is a value of c (≠ 0) for which the system
6x + 3y = c – 3
12x + cy = c
has infinitely many solutions. Find this value.
Solution:
Answers Of RD Sharma Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 30.
Find the values of k for which the system
2x + k y = 1
3x – 5y = 7
will have (i) a unique solution, and (ii) no solution.
Is there a value of k for which the system has infinitely many solutions?
Solution:
rd-sharma-class-10-solutions-chapter-3-pair-of-linear-equations-in-two-variables-ex-3-5-30
Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 31.
For what value of k, the following system of equations will represent the coincident lines ?
x + 2y + 7 = 0
2x + ky + 14 = 0 (C.B.S.E. 1992)
Solution:
Class 10 RD Sharma Pdf Chapter 3 Pair Of Linear Equations In Two Variables

Question 32.
Obtain the condition for the following system of linear equations to have a unique solution
ax + by = c
lx + my = n (C.B.S.E. 1991C)
Solution:
RD Sharma Class 10 Solutions Pdf Free Download Chapter 3 Pair Of Linear Equations In Two Variables

Question 33.
Determine the values of a and b so that the following system of linear equations have infinitely many solutions ?
(2a – 1) x + 3y – 5 = 0
3x + (b – 1) y – 2 = 0 (C.B.S.E. 2001C)
Solution:
Pair Of Linear Equations In Two Variables Class 10 RD Sharma
Pair Of Linear Equations In Two Variables Class 10 RD Sharma

Question 34.
Find the values of a and b for which the following system of linear equations has infinite number of solutions :
2x – 3y = 7
(a + b) x – (a + b – 3) y = 4a + b (C.B.S.E. 2002)
Solution:
RD Sharma Class 10 Solutions Chapter 3 Pair Of Linear Equations In Two Variables

Question 35.
Find the values of p and q for which the following system of linear equations has infinite number of solutions:
2x + 3y = 9
(p + q) x + (2p – q) y = 3 (p + q + 1)
Solution:
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Solutions Class 10 Chapter 3 Pair Of Linear Equations In Two Variables

Question 36.
Find the value of a and b for which the following system of equations has infinitely many solutions :
(i) (2a – 1) x – 3y = 5
3x + (b – 2) y = 3 (C.B.S.E. 2002C)
(ii) 2x – (2a + 5) y = 5
(2b + 1) x – 9y = 15 (C.B.S.E. 2002C)
(iii) (a – 1) x + 3y = 2
6x + (1 – 2b) y = 6 (C.B.S.E. 2002C)
(iv) 3x + 4y = 12
(a + b) x + 2 (a – b) y = 5a – 1 (C.B.S.E. 2002C)
(v) 2x + 3y = 7
(a – b) x + (a + b) y = 3a + b – 2
(vi) 2x + 3y – 7 = 0 [CBSE 2010]
(a – 1) x + (a + 1) y = (3a – 1)
(vii) 2x + 3y = 7
(a – 1) x + (a + 2) y = 3a [CBSE 2010]
(viii) x + 2y = 1
(a – b) x + (a + b) y = a + b – 2 [NCERT Exemplar]
(ix) 2x + 3y = 7
2ax + ay = 28 – by [NCERT Exemplar]
Solution:
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables
RD Sharma Class 10 Pdf Free Download Full Book Chapter 3 Pair Of Linear Equations In Two Variables

Question 37.
For which value(s) of λ, do the pair of linear equations λx + y = λ2 and x + λy = 1 have
(i) no solution?
(ii) infinitely many solutions?
(iii) unique solutions? [NCERT Exemplar]
Solution:
RD Sharma Class 10 Pdf Ebook Chapter 3 Pair Of Linear Equations In Two Variables

We have provided complete details of RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5. If you have any queries related to CBSE Class 10, feel free to ask us in the comment section below.

FAQs on RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5

Where can I download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 free PDF?

You can download RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 free PDF from the above article.

Is it required to practice all of the questions in RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5?

Yes, all of the questions in RD Sharma Solutions for Class 10 Maths Chapter 3 Exercise 3.5 must be learned. These questions may appear on both board exams and class tests. Students will be prepared for their board exams if they learn these questions.

What are the benefits of using RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5?

1. Correct answers according to the last CBSE guidelines and syllabus.
2. The RD Sharma Class 10 Solutions Chapter 3 Exercise 3.5 is written in simple language to assist students in their board examination, & competitive examination preparation.

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