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

Two non parallel lines intersect each other at:

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

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

• Line parallel to x-axis A
• Line parallel to y-axis B
• Line passing through the origin 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 y = a is below the x-axis, if:

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

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

X-coordinate of any point on Y-axis:

• 0 A
• x B
• y C
• 1 D

Equation of a line parallel to x-axis:

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

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

• Above A
• Below B
• On C
• None D

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

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

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

• a - b = 0 A
• a + b = 0 B
• a + b > 0 C
• a - b < 0 D

The point of intersection of the perpendicular bisectors of a triangle is called:

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

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

• 
  A
• 
  B
• 
  C
• 2 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

Inclination of Y-axis or of any line parallel to Y-axis is:

• 
  A
• Zero B
• 
  C
• Undefined 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

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 ratio in which x-axis divides the line segment joining the points:

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