12th Class FSc part 2 Mathematics Online Test

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

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

If x and y are so mixed up and y cannot be expressed in terms of the independent variable x, then y is called a/an ---- function of x.

• Constant A
• Explicit B
• Implicit C
• Inverse D

The function f(x) = 3x² has minimum value at :

• x = 3 A
• x = 2 B
• x = 1 C
• x = 0 D

Let f(x) = x², real valued function then domain of f is the set of all:

• Real numbers A
• Integers B
• Positive numbers C
• Natural numbers 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

• Parallel lines A
• Non-parallel lines B
• Perpendicular lines C
• Coplanar lines D

• sec x tan x A
• - sec²x B
• -sec x tan x C
• sec²x D

A line that touches the curve without cutting through it is called:

• Straight line A
• Tangent line B
• Normal line C
• Vertical line D

The fixed point of the conic is called:

• Directrix A
• Vertex B
• Focus C
• None of these D

• Circle A
• Parabola B
• Hyperbola C
• Ellipse D

If f(x) = |x|, f(x) is a:

• Constant function A
• Absolute function B
• Linear function C
• Quadratic function D

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

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

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

The ordered pair _____ is a solution of the inequality x + 2y < 6.

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

The ratio in which the line segments joining (2, 3) and (4, 1) is divided by the line joining (1, 3) and (4, 3) is:

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

• x = a A
• x = 2 B
• x = 0 C
• None D

Joint equation of y + 2x = 0, y - 3x = 0 is:

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

• sin x A
• cos x B
• sinh x C
• cosh x D

The instantaneous rate of change of y with respect to x is given by:

• 
  A
• 
  B
• 
  C
• 
  D