Question # 1

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

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15/23

7/15

7/8

15/7

The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

The minimum value of the quadratic function f(x) = x2 +6x -2, is

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11

6

-11

13

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

The distance of the point (a, b) from x-axis is

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a

b

a + b

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

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Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

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1/4

1/3

1/2

1/6

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

Vector additon is:

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Commutative

Associative

Commutative and Associative

None of these

The equation of the normal to the circle x² + 2² = 25 at (4,3) is

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3x -4y =0

3x -4y= 5

4x + 3y=5

4x - 3y =25

If the angle between two vectors with magnitude 8 and 2 is 60° then their scalar product is

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12

8

16

1

If x < y, 2x = A and 2y = B then

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A =B

A < B

A< X

B < y

How many elements are in the sample space of two rolling dies

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6

12

18

36

3/2 is

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An irrational number

Whole number

A positive integer

A rational number

ω⁸⁸ = ?

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A and B are multiplicative inverse of each other

A and B are additive inverses of each other

A and B are singular matrices

A and B are equal

If the sum of the roots of (a + 1)x² + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is

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Commutative law w.r.t multiplication

Associative law w.r.t addition

Distributive law w.r.t addition

Multiplication of a scalar with the matrix

Cse π/3

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2

1

0

2/√3

The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called

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12

1

10

-10

1+2+3+......+n=?

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n(n +1)/2

n +1/2

n(n +1)(2n +1)/6

n³

The number of ways in which we can courier 5 packets to 10 cities is

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2 x 5^o

5¹⁰

10⁵

2¹⁰

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