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

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 horizontal line x' ox is called:

• x-axis A
• y-axis B
• abscissa C
• ordinate D

ax + by + c = 0, will represent equation of straight line parallel y-axis if:

• a = 0 A
• b = 0 B
• c = 0 C
• a = 0, c = 0 D

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

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

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

• Above A
• Below B
• On C
• None D

The line y = c is above the x - axis, if:

• c > 0 A
• c < 0 B
• c = 0 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

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

• 3 A
• 1 B
• 2 C
• 0 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

x = 4 is a line:

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

Infinite number of lines can pass through:

• One point A
• Two points B
• Three points C
• Four points D

Two non parallel lines intersect each other at:

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

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

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

Equation of a line parallel to x-axis:

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

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

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

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

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