Second Year Mathematics Chapter 4 Online MCQ Test Introduction to Analytic Geometry Preparation

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

• 2 : 3 A
• 2 : 5 B
• 1 : 2 C
• 3 : 5 D

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

• h² < ab A
• h²> ab B
• h²= ab C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

For any point (x, y) on x-axis:

• y = 1 A
• y = 0 B
• y = -1 C
• y = 2 D

Joint equation of y + 2x = 0, y - 3x = 0 is:

• (y+2x)(y-3x) = 0 A
• (y-2x)(y-3x) = 0 B
• (y+2x)(y+3x) = 0 C
• (y-2x)(y+3x) = 0 D

The line x = a is on the right of y - axis if:

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

• 4 A
• 2 B
• 1 C
• 
  D

For any point (x, y) and y - axis:

• y = 0 A
• y = -1 B
• y = 1 C
• x = 0 D

ax + by + c = 0 has matrix from as:

• 
  A
• |ax + by| = |-c| B
• [ax + by ] = [c] C
• [ax - by] = [-c] D

If the lien l is parallel to y-axis, then the slope of l is ----------------.

• 0 A
• 1 B
• -1 C
• undefined D

The centroid of a triangle is a point that divides each median in the ratio:

• 2 : 1 A
• 2 : 3 B
• 1 : 3 C
• 4 : 3 D

y = -2 is a line:

• Parallel to x-axis A
• Parallel to y-axis B
• Perpendicular to x-axis C
• None of these D

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

• 
  A
• 
  B
• 
  C
• 
  D

• Parallel lines A
• Non-parallel lines B
• Perpendicular lines C
• Coplanar lines D

Inclination of Y-axis or of any line parallel to Y-axis is:

• 
  A
• Zero B
• 
  C
• Undefined D

Distance of the point (-2, 3) from y-axis is:

• -2 A
• 2 B
• 3 C
• 1 D

If a = 0, then the line ax + by + c = 0 is parallel to:

• y - axis A
• x - axis B
• along y - axis C
• None of these D

• Parallel lines A
• Perpendicular lines B
• Non-parallel lines C
• None of these D

The distance between two points P₁ (x₁, y₁) and P₂ (x₂, y₂) on the co-ordinate plane is given by:

• 
  A
• 
  B
• 
  C
• 
  D

The line y = a is below the x-axis, if:

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D