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

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

• Above A
• Below B
• On C
• None 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 ratio in which x-axis divides the line segment joining the points:

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

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

• 1 A
• 2 B
• 3 C
• 4 D

If (x, y) are the coordinate of a point ordered pair is called:

• Abscissa A
• Ordinate B
• Coordinate C
• Ordered pair 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

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

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

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

• 0 A
• 2 B
• 1 C
• -1 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

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

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

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

In the translation of axes which formula is true:

• x = X + h A
• X = x + h B
• x + X = h 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

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