12th Class Mathematics MCQ Test With Answer for Mathematics Full Book

If f(x) = cos x then f'(0) is equal to:

• 0 A
• -1 B
• 1 C
• 
  D

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

• Outside A
• Inside B
• On C
• None of these D

General form of equation of line is:

• ax - by + c = 0 A
• ax + by - c = 0 B
• ax + by + c = 0 C
• ax - by - c = 0 D

• Unit vector A
• Null vector B
• Free vector C
• None of these D

• 90° A
• 30° B
• 60° C
• 0° D

The equation x² + y² + 2x + 3y = 10 represents a:

• A pair of lines A
• Circle B
• Ellipse C
• Hyperbola 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

• ln |sec x + tan x | + c A
• ln |cosec x - cot x | + c B
• ln |sec x - tan x| + c C
• ln |cosec x + cot x | + c D

The ratio between the measure of the radial segment and the diameter of a circle is:

• 2 : 1 A
• 4 : 3 B
• 1 : 2 C
• 
  D

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

• (-2, -2) A
• (-2, 2) B
• (2, -1) C
• (0, 0 ) 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

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 length of the latus rectum of the parabola y² = 4ax is:

• a A
• 4a B
• 2a C
• None of these D

• sin x A
• cos x B
• -sin x C
• -cos x D

• f(x) A
• ln |f(x)| B
• f'(x) C
• ln |f'(x)| D

In equation of circle, coefficient of each of x² and y² are:

• Not equal A
• Opposite in signs B
• Equal C
• None of these D

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

• 
  A
• c B
• 2g + 2f -c C
• None D

The vertex of the parabola x² = 4ay is:

• (-a, 0) A
• (0, a) B
• (0, -a) C
• (0, 0) D

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

• Trapezium A
• Rectangle B
• Rhombus C
• None of these 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