ECAT Mathematics Online Test

Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then

• α = β A
• αβ = 1 B
• α = β C
• α = 1 D

The value of sin [ arc cos (-1/2)] is

• 
  A
• 
  B
• 
  C
• 
  D

Domain of cosθis

• Set of odd numbers A
• Set of integers B
• Set of real numbers C
• Set of complex numbers D

If a set S contains "n" elements then P (S) has ...... number of elements

• 2ⁿ A
• 2²ⁿ B
• 2 . n C
• n² D

• 
  A
• 
  B
• 
  C
• 
  D

• 0 A
• 3 B
• 9 C
• -3 D

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

w^-1= ______

• 0 A
• 1 B
• w C
• w² 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

202.04 is an example of

• Recurring decimals A
• Non-recurring decimals B
• Terminating decimals C
• None of these D

Which of the following is not a quadrantal angle

• 90° A
• 100° B
• 180° C
• 270° D

• A(α) - A(β) A
• A(α) + A(β) B
• A(α-β) C
• A(α+β) D

A,G,H are in

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

√x = ______ if is a prime number

• Rational no A
• Natural no B
• Irrational no C
• Complex no D

• perpendicular vectors A
• parallel vectors B
• concurrent vectors C
• none of these D

Which of the following is a vector

• length A
• momentum B
• volume C
• speed D

The set {-1, 1} is

• Group under the multiplication A
• Group under addition B
• Does not form a group C
• Contains no identity element D

The distance of the point (-2 , 3) from y-axis is

• 2 A
• -2 B
• 3 C
• 1 D

A right angle is the angle of measure

• 90' A
• 60° B
• 60" C
• 90° D

• 
  A
• 
  B
• 
  C
• 
  D

If A is any matrix then its additive inverse is

• A A
• A^-1 B
• A^t C
• -A D

In set builder notation the set {0, 1, 2, ............, 100} can be written as

• 
  A
• 
  B
• 
  C
• 
  D

sin2 π/6 + sin2 π/3 + tan2 π/4 =______;

• 1 A
• 2 B
• 3 C
• 4 D

• 
  A
• 
  B
• 
  C
• 
  D

The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is

• (√6,1) A
• (2,3) B
• (7,-2√6) C
• (4,-√6) D

• 
  A
• 
  B
• 
  C
• 
  D

• Right angled A
• Obtuse angled B
• Isosceles C
• Equilateral D

In ladder leaning against a vertical well makes an angle of 24^𝜊with the wall, Its foot is 5m from the wall, its length is

• 5.47m A
• 2m B
• 7m C
• 6.29m D

• 
  A
• 
  B
• 
  C
• 
  D