2nd Year Mathematics Chapter 4 Online MCQ Test for 12th Class Mathematics Unit 4 (Introduction to Analytic Geometry)

Equation of a line parallel to x-axis:

• x = 0 A
• x = y B
• y = a C
• x = a D

• Line parallel to x - axis A
• Line parallel to y - axis B
• Inclined C
• Both (a) and (b) D

y - y1 = m ( x - x1) is the equation of straight line in:

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

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

• -2 A
• 2 B
• 3 C
• 1 D

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

• 1 A
• 2 B
• 7 C
• -7 D

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

• 0 A
• 1 B
• -1 C
• undefined D

• 
  A
• 
  B
• 
  C
• 2 D

The ratio in which x-axis divides the line segment joining the points:

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

• Line parallel to x-axis A
• Line parallel to y-axis B
• Line passing through the origin C
• Both (a) and (b) 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 point (5, 8) lies the line 2x - 3y + 6 = 0

• Above A
• Below B
• On C
• None D

Two non parallel lines intersect each other at:

• 1 point A
• 2 points B
• 3 points C
• 4 points D

x = c is a line:

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

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

• a - b = 0 A
• a + b = 0 B
• a + b > 0 C
• a - b < 0 D

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

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

The distance between the points (1, 2), (2, 1).

• 1 A
• 
  B
• 
  C
• 2 D

If a straight line is perpendicular to x-axis, then its slope is:

• 0 A
• 1 B
• 2 C
• Undefined D

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

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