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

y = mx + c is the equation of straight line in:

• Slope-intercept form A
• Two points from B
• Point slope form C
• Intercepts form 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

• Line parallel to x-axis A
• Line parallel to y-axis B
• Line passing through the origin C
• Both (a) and (b) D

• Line parallel to x-axis A
• Line parallel to y-axis B
• Line passing through the origin C
• Both (a) and (b) D

The line l is horizontal if and only if slope is equal to:

• 0 A
• 1 B
• 2 C
• undefined D

Distance of the point (-3, 7) from x-axis is:

• 3 A
• -3 B
• 7 C
• 10 D

The point (5, 8) lies the line 2x - 3y + 6 = 0

• Above A
• Below B
• On C
• None D

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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

If (x, y) are the coordinates of a point, then the first component of the ordered pair is called:

• Abscissa A
• Ordinate B
• Coordinate axes C
• None of these D

Point of intersection of x + y = 5 & x - y = 3 is:

• (5, 5) A
• (4, 2) B
• (4, 1) C
• (1, 4) D

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

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

• Positive A
• Negative B
• Undefined C
• None of these D

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

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

A parallelogram is a rhombus if and only if its diagonals are:

• Parallel A
• Perpendicular B
• Equal C
• None of these D

If a pair of opposite sides of a quadrilateral are equal and parallel then it is:

• Rectangle A
• Rhombus B
• Parallelogram C
• None of these D

• 
  A
• 
  B
• 
  C
• 2 D

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

• 3x + 2y - 8 = 0 A
• 3x - 2y + 8 = 0 B
• 3x - 2y - 8 = 0 C
• 3x + 2y + 8 = 0 D

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

• (1, 0) A
• (0, 1) B
• (-1, 0) C
• (0, -1) D