Question # 1

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The parabola y2 + 2y + x = 0 lie in _____ quadrant.

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First

Second

Third

Fourth

InΔABC if y = 90° then the Pythagoras theorem is

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b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

None of these

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

If the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

If distance of (a,b) from y-axis is 2 then

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a = 2

b = 2

a = b

a = 4

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An empty set

Universal set

A singleton set

None of these

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if a₁ =3, d=7 and a_n =59 , then the number of terms in A.P is

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7

9

11

13

Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

The product of complex numbers (a,b) and (c,d) is

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(ac, bd)

(ac-bd, ad+bc)

(ab,cd)

(ac+bd,ad-bc)

Ifπ≤x≤2π, then cos-1 (cos x)=

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cos x

-x

1/x

-x

The measure of the acute angle between the lines represented by x2 -xy -6y2 =0 is

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120°

30°

130°

45°

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None of these

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

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

Onto function is also called

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Binjective function

Injective function

Surjechive function

None of these

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a^xIn a + c

a^x+ c

x a^x+ c

The value of the expression sinθ+ cosθlies between

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

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S = Four multiples of 3

S = Set of even numbers

S = Set of prime numbers

S = All multiples of 3

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0

-1

1

-2

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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

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x + 2

x + 3

x - 3

x - 4

Given X,Y are any two sets such that number of elements in set X = 28, number of elements in set Y = 28, and number of elements in set X∪Y = 54, then number of elements in set X ∩ Y =

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4

3

2

1

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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Sum of n terms of a geometric series if | r | < 1 is

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If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

The range of the tangent function is

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all real numbers

-1 ≤ x ≥ 1

natural number

z⁺

Equation of parabola with focus F(-3,1) directrix x=3 is

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(y -1)2 =-12x

(y-1)2 =4x

(x+3)2 =4a(y-1)

y2 =-12(x-1)

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