MCQs of Maths Chapter 3 Pair of Linear Equations in Two Variables

MCQs of Pair of Linear Equations in Two Variables

MCQs

Mathematics

Chapter 3 Pair of Linear Equations in Two Variables

Class 10

1 / 30

The solution of the linear pair px + qy = p – q and qx – py = p + q is

2 / 30

Seven times a two-digit number is equal to four times the number obtained by reversing the order of its digit. If the difference between the digits is 3, then the number is

3 / 30

The pair of equation x = a and y = b graphically represents the lines which are

4 / 30

The value of c for which the pair of equation cx – y = 2 and 6x – 2y = 3 will have no solution

5 / 30

If bx + ay = a^{2}+b^{2} and ax – by = 0, then the value of (x – y)

6 / 30

If one equation of a pair of dependent linear equations is –3x + 5y – 2 = 0. The second equation will be:

7 / 30

If 2x – 3y = 7 and (a+b)x – (a+b–3)y = 4a+b represent coincident lines, then a and b satisfy the equation

8 / 30

The father’s age is six times his son’s age. Four years hence, the age of the father will be four times his son’s age. The present ages, in years, of the son and the father are, respectively.

9 / 30

Sum of two numbers is 35 and their difference is 13, then the numbers are

10 / 30

If the system of equations kx – 5y = 2 and 4x + my = 10 has infinitely many solution then the value of k and m are

11 / 30

The pair of equation 5x – 15y = 8 and 3x – 9y = \frac{24}{3} has

12 / 30

The value of k for which the system of equations x + 2y = 3 and 5x + ky + 7 = 0 has no solution is

13 / 30

Aruna has only ₹ 1 and ₹ 2 coins with her. If the total number of coins that she has is 50 and the amount of money with her is ₹ 75, then the number of ₹ 1 and ₹ 2 coins are, respectively.

14 / 30

19x – 17y = 55 and 17x – 19y = 53 then the value of (x – y) is

15 / 30

The angles of cyclic quadrilaterals ABCD are: A = (6x+10)°, B = (5x)°, C = (x+y)° and D = (3y-10)°. The value of x and y is:

16 / 30

If (6, k) is a solution of equation 3x + y – 22 = 0 then the value of k is

17 / 30

₹ 4900 were divided among 150 children. If each girl gets ₹ 50 and a boy gets ₹ 25, then the number of boys is:

18 / 30

A fraction becomes \frac{1}{3} when 1 is subtracted from the numerator and it becomes \frac{1}{4} when 8 is added to its denominator. The fraction obtained is:

19 / 30

8 chairs and 5 tables cost ₹ 10,500, while 5 chairs and 3 tables cost ₹ 6,450. The cost of each chair will be

20 / 30

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.

21 / 30

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

22 / 30

Five years ago, A was thrice as old as B and ten years later A shall be twice as old as B, then the present age of A is

23 / 30

If the system of equations 3x + y = 1 and (2k–1)x + (k–1)y = 2k+1 is inconsistent, then k equals to

24 / 30

A two-digit number is 4 more than 6 times the sum of its digits. If 18 is subtracted from the number, the digits are reversed, then the number is

25 / 30

The pair of linear equation 3x + 5y = 3 and 6x + ky = 8 do not have a solution, if k is

26 / 30

The perimeter of a rectangular garden is 180 metres. If the length of the garden is 10 metres more than its width, what will be the area of the garden ?

27 / 30

Two numbers are in the ratio 5:6 if 8 is subtracted from each of the numbers, the ratio becomes 4:5. The two numbers

28 / 30

If 2x + 3y = 0 and 4x – 3y = 0 then the value of (x + y) is

29 / 30

If 2x – 3y = 7 and (a+b)x – (a+b–3)y = 4a+b have an infinite number of solutions, then

30 / 30

The value of k for which the system of equation kx – y = 2, and 6x – 2y = 3 has a unique solution is

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