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

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

If the lien l is parallel to y-axis, then the slope of l is ----------------.

• 0 A
• 1 B
• -1 C
• undefined D

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

• c > 0 A
• c < 0 B
• c = 0 C
• 
  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

The perpendicular distance of the line 3x + 4y + 10 = 0 from the origin is:

• 0 A
• 1 B
• 2 C
• 3 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

y-coordinate of any point on X-axis:

• 0 A
• x B
• y C
• 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

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

Equation of a line parallel to x-axis:

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

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

• Above A
• Below B
• On C
• None D

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

• 
  A
• Zero B
• 
  C
• Undefined D

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

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

• y = 0 A
• y = -1 B
• y = 1 C
• x = 0 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 distance between the points (1, 2), (2, 1).

• 1 A
• 
  B
• 
  C
• 2 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

The line y = a is below the x-axis, if:

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

• x + y + 7 = 0 A
• x - y + 7 = 0 B
• y - x + 7 = 0 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