The maximum number of points that lie on the graph of a linear equation in two variables is.

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Linear Equations for Two Variables Class 9 MCQs Questions with Answers

Question 1. The value of y at x = -1 in the equation 5y = 2 is (a) \(\frac{5}{2}\) (b) \(\frac{2}{5}\) (c) 10

(d) 0

Answer

Answer: (b) \(\frac{2}{5}\)

Question 2. 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

Answer

Answer: (c) y – 5

Question 3. x = 3 and y = -2 is a solution of the equation 4px – 3y = 12, then the value of p is (a) 0 (b) \(\frac{1}{2}\) (c) 2

(d) 3

Answer

Answer: (b) \(\frac{1}{2}\)

Question 4. 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

Answer

Answer: (d) x = a

Question 5. Any point on the line y = 3x is of the form (a) (a, 3a) (b) (3a, a) (c) (a, \(\frac{a}{3}\))

(d) (\(\frac{a}{3}\), -a)

Answer

Answer: (a) (a, 3a)

Question 6. To which equation does the graph represent?

(a) 3x – 7y = 10 (b) y – 2x = 3 (c) 8y – 6x = 4

(d) 5x +\(\frac{35}{2}\)y = 25

Answer

Answer: (c) 8y – 6x = 4

Question 7. 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

Answer

Answer: (d) x + y = 0

Question 8. 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)

Answer

Answer: (b) (3, 0)

Question 9. Graph of linear equation ax + by + c = 0, a * 0, 6*0 cuts x-axis and y-axis respectively at the points. (a) (\(\frac{-c}{a}\), 0), (0, \(\frac{-c}{b}\)) (b) (0, \(\frac{-c}{b}\), 0), (\(\frac{-c}{a}\), 0) (c) (-c, 0) (0, -c)

(d) (x, 0) (y, 0)

Answer

Answer: (a) (\(\frac{-c}{a}\), 0), (0, \(\frac{-c}{b}\))

Question 10. Which of the following ordered pairs is a solution of the equation x – 2y – 6? (a) (2, 4) (b) (0, 3) (c) (-4, 1)

(d) (4, -1)

Answer

Answer: (d) (4, -1)

Question 11. 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

Answer

Answer: (c) infinitely many

Question 12. Solution of linear equation 2x + 0.y + 9 = 0 is (a) (\(\frac{9}{2}\), m) (b) (n, \(\frac{-9}{2}\)) (c) (0, \(\frac{-9}{2}\))

(d) (\(\frac{-9}{2}\), 0)

Answer

Answer: (d) (\(\frac{-9}{2}\), 0)

Question 13. If (3, 2) is the solution 3x – ky = 5, then k equals of the equation (a) 2 (b) 4 (c) 3

(d) \(\frac{1}{2}\)

Answer

Answer: (a) 2

Question 14. Cost of book (x) exceeds twice the cost of pen (y) by Rs 10. This statement can be expressed as linear equation. (a) x – 2y – 10 = 0 (b) 2x – y – 10 = 0 (c) 2x + y – 10 = 0

(d) x – 2y + 10 = 0

Answer

Answer: (a) x – 2y – 10 = 0

Question 15. 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

Answer

Answer: (b) x = 6y + 5

Question 16. Equation of a line passing through origin is (a) x + y = 1 (b) x = 2y – 4 (c) x + y = 0

(d) y = x – 1

Answer

Answer: (c) x + y = 0

Question 17. The condition that the equation ax + by + c = 0 represents a linear equation in two variables is (a) a ≠ 0, b = 0 (b) b ≠ 0, a = 0 (c) a = 0, b = 0

(d) a ≠ 0, b ≠ 0

Answer

Answer: (d) a ≠ 0, b ≠ 0

Question 18. The maximum number of points that lie on the graph of a linear equation in two variables is. (a) two (b) definite (c) infinitely many

(d) three

Answer

Answer: (c) infinitely many

Question 19. Straight line passing through the points (-1, 1), (0, 0) and (1, -1) has equation (a) y – x (b) x + y = 0 (c) y = 2x

(d) 2 + 3y = 7x

Answer

Answer: (b) x + y = 0

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