Olympiad – Class IX – Mathematics - Linear Equations in Two Variables

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Question - 1

How many line(s) pass through the point (0,0)?

  • A Only one
  • B Two
  • C Infinitely many
  • D Three

Question - 2

Which of the following is true about y = 4x - 3?

  • A It has a unique solution.
  • B It has only two solutions.
  • C It has infinitely many solutions.
  • D It is a linear equation in one variable.

Question - 3

If x = -2 and y = 3 is the solution of the equation 3x -5y = k, find 'k'.

  • A -21
  • B -9
  • C -18
  • D 19

Question - 4

What does an equation of the form ax + by + C = 0, where a and b are nonzero numbers represent?

  • A A straight line
  • B A circle
  • C A triangle
  • D A quadrilateral

Question - 5

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

  • A y = -2
  • B Y = 0
  • C y = 5
  • D x = -4

Question - 6

What is the equation of X-axis?

  • A x = 0
  • B x = -2
  • C Y = 0
  • D y = -2

Question - 7

For which condition does the equation px + qy + r = 0 represent a linear equation in two variables?

  • A p≠ 0,q = 0
  • B q≠0,q=0
  • C p = 0,q = 0
  • D p≠0,q≠0

Question - 8

Which of the following is correct with respect to the line x + 1 = 0?

  • A It is parallel to y-axis.
  • B It passes through (0, -1).
  • C It is parallel to x-axis.
  • D It passes through (0,0).

Question - 9

Which is the equation of a line passing through the origin?

  • A y = 2
  • B x = 4
  • C x = 5x
  • D x = -7

Question - 10

Identify the correct statement from the following with respect to the line y - 2 = 0.

  • A It is parallel to X-axis.
  • B It is parallel to Y-axis.
  • C It passes through the origin.
  • D It passes through x = 2.
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