Mathematics ECAT Pre Engineering Online Test

The general equation of a circle is

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

In an A.P,a +(n-a)d is

• 1st term A
• General term B
• Last term C
• None of these D

E-radius corresponding to < A is

• 
  A
• 
  B
• 
  C
• 
  D

The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

• 60𝜊 A
• 40𝜊 B
• 41𝜊 C
• 30𝜊 D

If S = {3,6,9,12.......}, then

• S = Four multiples of 3 A
• S = Set of even numbers B
• S = Set of prime numbers C
• S = All multiples of 3 D

Trival solution of homogeneous linear equation is

• (0, 0, 0) A
• (1, 2, 3) B
• (1, 3, 5) C
• a.b and c D

The probability that the sum of dots appearing in two successive thrown of two dice, in every time 7 is

• 1/5 A
• 1/36 B
• 1/7 C
• 1/63 D

I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

• x² = 4ay A
• y² = 4ax B
• y² = -4ax C
• x² = 4ax D

Sum of first n terms of an arithmetic series is

• 
  A
• 
  B
• 
  C
• 
  D

• -a -b -c A
• 1 B
• 0 C
• -1 D

• 
  A
• 
  B
• 
  C
• 
  D

cos 315° = ______

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

• a cos(ax + b) + c A
• - a cos(ax + b) + c B
• 
  C
• 
  D

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

• 
  A
• 
  B
• 
  C
• 
  D

Which of the following is a factor of x³- 3x²+ 2x - 6

• x + 2 A
• x + 3 B
• x - 3 C
• x - 4 D

If B⊆ A, then complement of B in A is = -----------------------

• A-B A
• A∩B B
• B-A C
• A∪B D

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

• 
  A
• 
  B
• 
  C
• 
  D

The conic is a parabola if

• e < 1 A
• e > 1 B
• e = 1 C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

The 26th term of the A.P -2,-4,10,.............is

• 136 A
• -136 B
• 148 C
• -148 D

• 
  A
• 
  B
• 
  C
• 
  D

A sequence of number whose reciprocals form an arithmetic sequence is called

• Geometric sequence A
• Arithmetic series B
• Harmonic sequence C
• Harmonic series D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

The null vector is regarded to be perpendicular to

• Every vector A
• In some cases B
• Both a b C
• None D

• 0 A
• 
  B
• 1 C
• 
  D