has a
Class 10 9 A pair of linear equations which
-3 is
unique solution z =2 and yNCERT Eemplar
Assignment (a) x+ y= 1 and 2x-3y= 5
(b) 2x+ 5y = -11 and 4x + 10y= -22
Ch 3 Pair of Linear Equations in two (c) 2x- y= 1and 3x + 2y = 0
() x-4y - 14 = 0and 5x- y- 13 = 0
Variables
10 The pair of linear equations 2kx 5y =7.
1 The solution of the pair of linear equations 6x - 5y =1l has a unique solution, if
x=-5and y =6 is (a) ke- 3 )k (c) k 5
(a) (- 5, 6)
CBSE 2021 Term I (Standard) 11 The value of a for which the lines x=1y =2
)(-5 0)
(c) (a. 6) and ax +2y - 20 =0 are concurrent, is
(b) 8 (c)- 4 ()-2
2 The pair of linear equations y =0 and (a) 1
y=-5 has 12 For what value of k, the pair of linear
CBSE Sample Paper Term I (Basic) equations 3x + y =3 and 6x + ky = 8 does
(a) one solution (b) wo solutions not have a solution. CBSE Lue Paper
2021Tes Sample
(c) infintely many solutions (d) no solution
3 The pair of equations x + 2y +5 = 0 and 13 In the given figure, ABCD is
-3z-6y+1=0 has NCERT Exemplar parallelogram. Find the values of x and y.
(a) a unQue solution D
(b) exacty two solutions Ch
(c) infintely many solutions
9 cm
() no solution
4 If a pair of linear equations is consistent,
then the lines will be NCERT Exemplar
(a) paralel 14|| In igure, ABCD is a rectangle. Find the
() always coincident value of x and y.
(C) intersecting or coincident CBSE 2018
K+y
(d) always intersecting
5 The value of k, for which the pair of linear
equations x + y-4 =0 and 2x + ky -3 =0 14 cm
have no solution, is
CBSE 2021Termi (Basic) 30 cm
(a) 0 (b) 2 (c) 6 () 8
I5 Equation 2x = 5y +4 is given. Write
6 Which of the following pair of equations another linear equation, so that the lines
are inconsistent?
represented by the pair are
(a) 3x-ye 9, x-3 (i) intersecting (üi) coincident
(iü)) parallel
(b) 4x+3y= 24, -2x+ 3y =6 16|| Determine the values of a and b, for which
(c) 5x - y = 10, 10x-2y= 20 the following pairs of linear equations has
(d) -2x+ y 3,-4x +2y= 10 infinitely many solutions
The value of k for which the pair of linear
= 24 3* -(a + 1) y = 2b-1
equations 3x + 5y = 8 and kx + 15y and 5x +(1- 2a)y =3b
solutions, is
has infinitely manyCBSE 2021 Term I(Basle) 17| Solve for x and y
(a) 3 (b) 9 (c) 5 (d) 15
If the lines given by 3z +2ky =2 and 1. 0.Lx -0.2y =2; x +y =17
2x+ 5y =lare parallel, then the value of k
is NCERT Exemplar
(c)
4
Class 10 9 A pair of linear equations which
-3 is
unique solution z =2 and yNCERT Eemplar
Assignment (a) x+ y= 1 and 2x-3y= 5
(b) 2x+ 5y = -11 and 4x + 10y= -22
Ch 3 Pair of Linear Equations in two (c) 2x- y= 1and 3x + 2y = 0
() x-4y - 14 = 0and 5x- y- 13 = 0
Variables
10 The pair of linear equations 2kx 5y =7.
1 The solution of the pair of linear equations 6x - 5y =1l has a unique solution, if
x=-5and y =6 is (a) ke- 3 )k (c) k 5
(a) (- 5, 6)
CBSE 2021 Term I (Standard) 11 The value of a for which the lines x=1y =2
)(-5 0)
(c) (a. 6) and ax +2y - 20 =0 are concurrent, is
(b) 8 (c)- 4 ()-2
2 The pair of linear equations y =0 and (a) 1
y=-5 has 12 For what value of k, the pair of linear
CBSE Sample Paper Term I (Basic) equations 3x + y =3 and 6x + ky = 8 does
(a) one solution (b) wo solutions not have a solution. CBSE Lue Paper
2021Tes Sample
(c) infintely many solutions (d) no solution
3 The pair of equations x + 2y +5 = 0 and 13 In the given figure, ABCD is
-3z-6y+1=0 has NCERT Exemplar parallelogram. Find the values of x and y.
(a) a unQue solution D
(b) exacty two solutions Ch
(c) infintely many solutions
9 cm
() no solution
4 If a pair of linear equations is consistent,
then the lines will be NCERT Exemplar
(a) paralel 14|| In igure, ABCD is a rectangle. Find the
() always coincident value of x and y.
(C) intersecting or coincident CBSE 2018
K+y
(d) always intersecting
5 The value of k, for which the pair of linear
equations x + y-4 =0 and 2x + ky -3 =0 14 cm
have no solution, is
CBSE 2021Termi (Basic) 30 cm
(a) 0 (b) 2 (c) 6 () 8
I5 Equation 2x = 5y +4 is given. Write
6 Which of the following pair of equations another linear equation, so that the lines
are inconsistent?
represented by the pair are
(a) 3x-ye 9, x-3 (i) intersecting (üi) coincident
(iü)) parallel
(b) 4x+3y= 24, -2x+ 3y =6 16|| Determine the values of a and b, for which
(c) 5x - y = 10, 10x-2y= 20 the following pairs of linear equations has
(d) -2x+ y 3,-4x +2y= 10 infinitely many solutions
The value of k for which the pair of linear
= 24 3* -(a + 1) y = 2b-1
equations 3x + 5y = 8 and kx + 15y and 5x +(1- 2a)y =3b
solutions, is
has infinitely manyCBSE 2021 Term I(Basle) 17| Solve for x and y
(a) 3 (b) 9 (c) 5 (d) 15
If the lines given by 3z +2ky =2 and 1. 0.Lx -0.2y =2; x +y =17
2x+ 5y =lare parallel, then the value of k
is NCERT Exemplar
(c)
4
