12th class Mathematics chapter 4 online mcq test with answers for Fa part 2 Mathematics Chapter 4 (Introduction to Analytic Geometry)

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

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

The point of intersection of internal bisectors of the angles of a triangle is called:

• Centroid A
• Ortho-centers B
• Circums-center C
• In-center D

A linear equation in two variables represents:

• Circle A
• Ellipse B
• Hyberbola C
• Straight line 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 centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

• (-2, -2) A
• (-2, 2) B
• (2, -1) C
• (0, 0 ) D

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

• 0 A
• 1 B
• 2 C
• undefined 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

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

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

• -2 A
• 2 B
• 3 C
• 1 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

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

• 30° A
• 45° B
• 60° C
• 90° D

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

• 3 A
• -3 B
• 7 C
• 10 D

The point of intersection of the medians of a triangle is called:

• Centroid A
• Ortho-center B
• Circums-center C
• In-center 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

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

• Above A
• Below B
• On C
• None D

Equation of the line parallel to x + 3y - 9 = 0 is:

• 3x - y - 9 = 0 A
• 3x + 9y + 7 = 0 B
• 2x - 6y - 18 = 0 C
• x - 3y + 9 = 0 D

In the translation of axes which formula is true:

• x = X + h A
• X = x + h B
• x + X = h C
• None D

General form of equation of line is:

• ax - by + c = 0 A
• ax + by - c = 0 B
• ax + by + c = 0 C
• ax - by - c = 0 D

• 
  A
• 
  B
• 
  C
• 2 D