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

If the directed distances AP and PB have same signs, then their ratio is positive and P is said to divide AB:

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

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

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

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

• -2 A
• 2 B
• 3 C
• 1 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 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 ratio in which x-axis divides the line segment joining the points:

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

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

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

y = 2x + 3 is the;

• Slope-intercept form A
• Two points form B
• Point slope form C
• Intercepts form D

Two non parallel lines intersect each other at:

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

• 
  A
• 
  B
• 
  C
• 
  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 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 the medians of a triangle is called:

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

• Parallel lines A
• Perpendicular lines B
• Non-parallel lines C
• None of these D

A quadrilateral having two parallels and two non-parallel sides is called:

• Trapezium A
• Rectangle B
• Rhombus 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

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

• Positive A
• Negative B
• Zero C
• undefined D

• Parallel lines A
• Non-parallel lines B
• Perpendicular lines C
• Coplanar lines D

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