ECAT Pre Engineering Test Preparation Online for Pakistani Students

• 2x cos x2 A
• -2xcosxsinx B
• 2x Sin x2 C
• -Sin x2 D

• 
  A
• 
  B
• 
  C
• 
  D

If Projvu = Projuv, then

• Uand vare parallel A
• |u|=|v| B
• Uandvre perpendicular C
• One ofuorv D

The radius of the circle 2x² + 2y² - 4x + 12 y+11=0 is:

• √4.5 A
• √11 B
• √29 C
• √15 D

(A ∩ B)c =

• A∩ B A
• (A ∪ B)c B
• Ac∪Bc C
• Φ D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

Solving the equation 2^2x-3 x 2^x+2 + 2⁵ = 0 for 2 ^2x -3 x 2^x+2 +2⁵ = 0

• (1,4) A
• (8,4) B
• (2,3) C
• (5,9) D

• 
  A
• 
  B
• 
  C
• 
  D

• A onto B A
• both a & c B
• A into B C
• none of these D

The sum of indicated terms of a sequence is called

• Arithmetic series A
• Series B
• Harmonic series C
• None of these D

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

• 9998 A
• 9999 B
• 10000 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The positive integer just greater than (1+0.0001)¹⁰⁰⁰⁰is

• 4 A
• 5 B
• 2 C
• 3 D

i² =

• 1 A
• 2 B
• -1 C
• 0 D

A function from A to B is denoted by

• f: A→ B A
• f: B → A B
• f: → A :B C
• f → A→ B D

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

• 13 A
• -13 B
• 18 C
• -10 D

• 
  A
• 
  B
• 
  C
• 
  D

0! = ______

• 0 A
• 1 B
• 2 C
• Not defined D

A sequence whose reciprocal is an A.P is called

• Oscillator A
• H.P B
• G.P C
• None of these D

The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  
  
  A
• 
  B
• 
  C
• 
  D

The set Q

• Forms a group under addition A
• Does not form a group B
• Contains no additive indentity C
• Contains no additive inverse D

The maximum value of sin x + cos x is

• 
  A
• 
  B
• 
  C
• 
  D

A square matrix A = [aij] is upper triangular when

• cij = 0 A
• bij = 0 B
• aij = 0 for all i > j C
• dij = 0 D

Range of secθis

• Z - {x | -1 < x < 1} A
• W - {x | -1 < x < 1} B
• R - {x | -1 < x < 1} C
• R D

For n€ N,2^n>2 > n is to only when

• n<2 A
• n≤ 4 B
• n≥ 4 C

The complement of set A relative to universal set U is the set

• 
  A
• 
  B
• 
  C
• 
  D

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

• √5 A
• √7 B
• -1-2i C
• √3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• none of these D