## MCQ on Linear Equations in two variables

Q1. Through which of the following points, the graph of y = –x passes?

(i) (1, 1)

(ii) (0, 1)

(iii) (–1, 1)

(iv) (2,3)

Q2. On which of the following equations, the point of the form (m, –m) lies?

(i) x = –m

(ii) x + y = 0

(iii) y = x

(iv) y=2x

Q3. If x + y = 12, y + z = 15 and x + z = 18, then find x + y + z =?

a) 18

b) 12

c) 15

d) 22.5

Ans: Option 4 : 22.5

Q4. Equation of a line which is 5 units distance above the x-axis is

(a) x = 5

(b) x + 5 = y

(c) y – 5

(d) x – y = 0

Ans: c) y – 5

Q5. Which of the following is the equation of a line parallel to y-axis?

(a) y = 0

(b) x + y = z

(c) y = x

(d) x = a

Ans: d) x = a

Q6. Any point of the form (a, – a) always lie on the graph of the equation

(a) x = -a

(b) y = a

(c) y = x

(d) x + y = 0

Ans: d) x + y = 0

Q7. The graph of the equation 2x + 3y = 6 cuts the x-axis at the point

(a) (0, 3)

(b) (3, 0)

(c) (2, 0)

(d) (0, 2)

Ans: b) (3, 0)

Q8. How many linear equation in x and y can be satisfied by x = 1 and y = 2?

(a) only one

(b) two

(c) infinitely many

(d) three

Ans: c) infinitely many

Q9. If (3, 2) is the solution 3x – ky = 5, then k equals of the equation

(a) 2

(b) 4

(c) 3

(d) 12

Ans: a) 2

see also: Laws of Motion

Q10. If x represents the age of father and y represents the present age of the son, then the statement for ‘present age of father is 5 more than 6 times the age of the son’ in terms of mathematical equation is

(a) 6x + y = 5

(b) x = 6y + 5

(c) x + 6y = 5

(d) x – 6 = 5

Ans: b) x = 6y + 5

An aspirant will not require any other book in Quant after covering this book. All the topics are explained from the scratch/beginning thereby creating a strong foundation.