Question # 1

The slope of the tangent at the point (h,h) of the circle x2 +y2 =a2 is

Choose an answer

0

1

-1

h

The domain of y =√(x^2-9) is

Choose an answer

R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

For a positive integer n

Choose an answer

n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

If f:A→B is an injective function and second elements of no two of its ordered pairs are equal, then f is called

Choose an answer

1-1 and onto

Bijective

1-1 and into

None of these

Choose an answer

Closure law of addition

Associative law of addition

Additive inverse

Additive identity

Choose an answer

none of these

The value of cos(cos-1 1/2) is

Choose an answer

1/2

√3/2

-1/2

1/√2

The function ø(x) is ananti derivativeof function f (x),x∈Df if

Choose an answer

ø′(x) =∫f(x)dx

ø(x) =∫f(x)dx

ø′(x) =f(x)

ø(x) =∫′(x)dx

The maximum value of Z = 3x+ 4y subjected to the constrains x+ y≤ 40,x+ 2y≤ 60, x≥ 0 and y≥ 0 is

Choose an answer

120

100

140

160

Let A be a square matrix. Then, 1/2 (A-A') is

Choose an answer

Skew-symmetric

Symmetric

Null

None of the above

If f(x) = x³- 2x²+ 4x -1 then f(2) is

Choose an answer

7

-16

16

-9

Choose an answer

Proper fraction

Improper fraction

Rational fraction

None of these

InΔABC if y = 90° then the Pythagoras theorem is

Choose an answer

b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

None of these

Choose an answer

-10

10/7

-10/7

-7/10

G is geometric mean between a and b if a, G, b is

Choose an answer

A.P.

G.P.

H.P.

None of these

A key ring is an example of

Choose an answer

Permutation

Circular permutation

Combination

None

Choose an answer

110

220

1320

None of these

The graph of a quadratic function is

Choose an answer

Circle

Ellipse

Parabola

Hexagon

The mid point of the line segment joining the points (a,b) and (b,a) is

Choose an answer

If x,y are two -ve distinct numbers then

Choose an answer

A>G>H

A<G<H

A=G=H

None of these

The ellipse and hyperbola are called

Choose an answer

Concentric conics

Central conics

Both a b

None

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

Choose an answer

x² = 4ay

y² = 4ax

y² = -4ax

x² = 4ax

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

Choose an answer

(0, 2π)

(-π, -0)

(0,π)

None of these

For trival solution |A| is

Choose an answer

A

|A| = 0

A = 0

|A|≠ 0

The nth term of an A.P is (3n+5) Its 75th term is

Choose an answer

26

7

21

Cannot be determined

Graph of the question x²+ y²= 4 is

Choose an answer

A circle

An ellipse

A parabola

A square

Choose an answer

-sinθ

cosθ

sinθ

-cosθ

Choose an answer

Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

Domain of cotθis

More Classes

Other Links

Mathematics ECAT Pre Engineering Online Test MCQs With Answers

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer