If y = f(u) and u = F(x), then:

• 
  A
• 
  B
• 
  C
• 
  D

A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

• Maximum A
• Corner B
• Minimum C
• None of these D

• 0 A
• 1 B
• e C
• Does not exist D

Which one is not an exponential function ?

• 
  A
• 
  B
• 
  C
• 
  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

Perpendicular dropped from the center of a circle on a chord _______ the chord:

• Normal A
• Bisects B
• Equal to C
• None of these D

If r is the radius of the circle and its center is at origin, then equation of circle is:

• x² + y² = a² A
• x² + y² = r² B
• x² - y² = a² C
• x² - y² = r² D

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

• |CP| < r A
• |CP| = r B
• |CP| > r C
• None of these D

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

• Perpendicular A
• Parallel B
• Equal 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

• tan x A
• cot x B
• - tan x C
• - cot x 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

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

A null vector is defined as a vector whose magnitude is:

• 1 A
• 2 B
• 0 C
• None of these D

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

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

• 2 A
• 1 B
• 4 C
• 3 D

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

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

• Integration A
• Integrand B
• Constant of integration C
• None of these D

• sech x tanh x A
• -sech x tanhx B
• sech² x C
• -sech²x D

-4 < y < 4 is the solution of the following:

• y = 5 A
• y = 3 B
• y = -4 C
• y = 4 D