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CBSE - Class 10 Mathematics Pair of linear equations in two variable Worksheet

1.
Given the linear equation 2x + 3y – 8 = 0, write another linear equation in two variables such that the geometrical representation of the pair so formed is: (iii) coincident lines
2.
Choose the correct option: Graphically, the pair of equations
6x – 3y + 10 = 0
2x – y + 9 = 0 represents two lines which are ________.
a. Intersecting at exactly one point. b. Intersecting at exactly two points.
 c. Coincident.
 d. Parallel.
3.

The pair of equations y = 0 and y = –7 has

a.

One solution

 b.

Two solutions

 c.

Infinitely many solutions

 d.

No solution
4.

Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are

a.

 intersecting at one point

 b.

parallel

 c.

intersecting at two points

 d.

coincident
5.
Choose the correct option: If ax + by = c and lx + my = n has unique solution then the relation
between the coefficients will be ______.
a. am is not equal to lb b. am = lb c. ab=lm d. ab is not equal to lm
6.

The sum of the digits of a two-digit number is 9. If 27 is added to it, the digits of the number get reversed. The number is

a.

27

 b.

72

 c.

45

 d.

36
7.
For what values of k,the following equations have infinite solution Kx + 3y - (K-3) = 0 & 12x + Ky - K = 0
8.

If a=m and b=l then the system of equations ax + by = c, lx + my = n, has

a.

a unique solution

 b.

no solution

 c.

infinitely many solutions

 d.

none of these
9.
Choose the correct option: In linear equation 'ax+by = c' a and b cannot be equal
a. To rational numbers b. To one c. To zero d. Set of even numbers
10.
Choose the correct option: The pair of linear equations is said to be inconsistent if they have ________.
a. Only one solution b. No solution c. Infinitely many solutions d. Both B & C
11.

Your trading plan is something you should check

a.

Every month

 b.

Every week

 c.

Every day

 d.

Every day before starting to trade
12.
Choose the correct option: If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values
of a and b are, respectively ________.
a. 3 and 5 b. 5 and 3
 c. 3 and 1
 d. –1 and –3
13.

If X+1⁄X=3 FIND THE VALUE OF X³+1/X³

a.

15

 b.

16

 c.

17

 d.

18
14.
Choose the correct option: Graph of every linear equation in two variables represent a ________.
a. Point b. Straight line c. Curve d. Triangle
15.
Give linear equations which is coincident with 2x + 3y - 4 = 0
16.
On comparing the ratios $\frac{a_1}{a_2}$, $\frac{b_1}{b_2}$, and $\frac{c_1}{c_2}$, find out whether the following pair of linear equations are consistent, or inconsistent. (ii) 2x – 3y = 8 ; 4x – 6y = 9
17.

The larger of two supplementary angles exceeds thrice the smaller by 20 degrees. Find the angles

a.

140,40

 b.

130,50

 c.

120,60

 d.

100,80
18.

There are two points on a highway A,B. They are 70 km apart. An auto starts from A and another auto starts from B simultaneously. If they travel in the same direction, they meet in 7 hours, but if they travel towards each other they meet in 1 hour. Find how fast the two autos are

a.

40,20

 b.

40,30

 c.

50,30

 d.

40,50
19.

If a pair of linear equation in two variables is consistent , then the lines represented by two eqns are

a.

Intersecting

 b.

parallel

 c.

always coincident

 d.

intersecting or coincident
20.

The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is

a.

3

 b.

-3

 c.

-12

 d.

no value

Worksheet Answers

2.
Option D
3.
Option D
4.
Option B
5.
Option A
6.
Option D

7.
K=6
8.
Option A
9.
Option C
10.
Option B
11.
Option D

Solution:

Before the start of the trade, remind yourself the max. capital you will deply on each trade, max loss you are wiling to take, max. trades you will take and the conditions for stopping trades.

Preferably write it down and put it right in front of you.

12.
Option C
13.
Option B
14.
Option B

15.
4x + 6y – 8 = 0
17.
Option A
18.
Option B
19.
Option D
20.
Option A
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