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

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

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

Angle between the lines x + y + 1 = 0 & x - y + 4 = 0 is:

• 30° A
• 45° B
• 60° C
• 90° 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

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

The coordinate axes divide the plane into------------ equal parts:

• 1 A
• 2 B
• 3 C
• 4 D

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

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

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

If the directed distances AP and PB have the opposite signs, i.e; p is beyond AB, then their ratio is negative and P is said to divide AB:

• Internally A
• May divide B
• Externally C
• None of these D

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

• 0 A
• 1 B
• 2 C
• undefined D

Equation of a line parallel to x-axis:

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

• 
  A
• 
  B
• 
  C
• 2 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

The point (2, 5) lies the lie 3x - y + 1 = 0

• Above A
• Below B
• On C
• None D

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

• Above A
• Below B
• On C
• None D

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

• -1 A
• 1 B
• 3 C
• -3 D