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

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 vertical line y'oy is called:

• x-axis A
• y-axis B
• abscissa C
• Ordinate 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 a = 0, then the line ax + by + c = 0 is parallel to:

• y - axis A
• x - axis B
• along y - axis C
• None of these 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

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

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

• y = 0 A
• y = -1 B
• y = 1 C
• x = 0 D

Infinite number of lines can pass through:

• One point A
• Two points B
• Three points C
• Four points D

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

• 
  A
• Zero B
• 
  C
• Undefined D

The centroid of a triangle is a point that divides each median in the ratio:

• 2 : 1 A
• 2 : 3 B
• 1 : 3 C
• 4 : 3 D

• 4 A
• 2 B
• 1 C
• 
  D

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

• Above A
• Below B
• On C
• None D

The symbol | | is used for:

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

x = c is a line:

• Perpendicular to x-axis A
• Parallel to x-axis B
• Perpendicular to y-axis C
• None of these D

If a straight line is perpendicular to x-axis, then its slope is:

• 0 A
• 1 B
• 2 C
• Undefined D

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

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

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

• a > 0 A
• a < 0 B
• a = 0 C
• 
  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

• 
  A
• 
  B
• 
  C
• 
  D