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

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  D

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

• Above A
• Below B
• On C
• None D

The coordinate axes divide the plane into------------ equal parts:

• 1 A
• 2 B
• 3 C
• 4 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

The equation of a straight line which parallel to the line 3x - 2y + 5 = 0 and passes through (2, -1) is:

• 3x + 2y - 8 = 0 A
• 3x - 2y + 8 = 0 B
• 3x - 2y - 8 = 0 C
• 3x + 2y + 8 = 0 D

Distance of the point (-3, 7) from x-axis is:

• 3 A
• -3 B
• 7 C
• 10 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

y = -2 is a line:

• Parallel to x-axis A
• Parallel to y-axis B
• Perpendicular to x-axis 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

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

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

• Positive A
• Negative B
• Undefined C
• None of these 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

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

• 
  A
• 
  B
• 
  C
• 
  D

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

• -1 A
• 1 B
• 3 C
• -3 D

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

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

• Parallel lines A
• Non-parallel lines B
• Perpendicular lines C
• Coplanar lines 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 point (5, 8) lies the line 2x - 3y + 6 = 0

• Above A
• Below B
• On C
• None 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