ECAT Pre Engineering Test Preparation Online for Pakistani Students

• trigonometric equation A
• conditional equation B
• identity C
• None D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• 1 A
• 3 B
• 2-i C
• -1 D

• -8 A
• 8 B
• 8i C
• 32 D

The parametric equations of a circle are

• 
  A
• 
  B
• 
  C
• 
  D

The set of rational number is represented by

• W A
• R B
• Q' C
• Q
  
  
  D

If z=(x,y) then z has no multiplicative inverse when

• x ≠ 0, y = 0 A
• x = 0, y = 0 B
• x = 0, y ≠ 0 C
• None of these D

Which of the following is skew symmetric matrix

• 
  A
• 
  B
• 
  C
• 
  D

The directrix of y2 =-4ax is

• y =-a A
• y = a B
• x = a C
• x = -a D

• 
  A
• 
  B
• 
  C
• 
  D

Find the next two terms of 7, 9, 12, 16,...

• 18, 20 A
• 19, 22 B
• 20, 25 C
• 21, 27 D

• Imaginary A
• Rational B
• Irrational C
• Real numbers D

Tan(α-β)=

• 
  A
• 
  B
• 
  C
• 
  D

• (a + b)c = ac + bc A
• a + b = b + a B
• (a + b) + c = a + (b + c) C
• a(b +c) = ab + ac D

• 
  A
• 
  B
• 
  C
• 
  D

The expansion of (1 - 3x)^-1is valid if

• | x | < 1 A
• | x | < 3 B
• | x | < 1/3 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

For every positive integers n 1+5+9+....+ (4n - 3) is

• n(2n - 1) A
• (2n - 1) B
• n - 1 C
• n D

• 
  A
• 
  B
• 
  C
• 
  D

cos(π/2-θ) = ________;

• cosθ A
• sinθ B
• -cosθ C
• -sinθ D

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

• xyz A
• 0 B
• 1 C
• None of these D

πis the period of the function

• |sin x| + |sin x| A
• sin⁴x + cos x B
• sin (sin x) + sin (cos x) C
• None of these D

The parametric equation of a curve are x = t², y = t³then

• 
  A
• 
  B
• 
  C
• 
  D

Shifting origin to (1,-2), the new coordinates of (4,5) are:

• (3,7) A
• (5,3) B
• (-3,7) C
• (3,-7) D

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

• 57𝜊 A
• -48𝜊 B
• 27𝜊 C
• 53𝜊 D

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

• 1 A
• 2 B
• 3 C
• 4 D

• Proper fraction A
• Improper fraction B
• Rational fraction C
• None of these D

• 
  A
• 
  B
• 
  C
• none of these D

• quadratic function A
• constant function B
• linear function C
• exponential function D