Question # 1

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12

6

8

none of these

The conic is a parabola if

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e < 1

e > 1

e = 1

None of these

The expansion (1 + x)^-3holds when

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|x| > 1

|x| < 1

x < 1

x > 1

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1

-1

The roots of ax2 + bx + c = 0 are always unequal if

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b2 - 4ac = 0

b2- 4ac ≠ 0

b2- 4ac > 0

b2- 4ac ≥ 0

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (-1,-2) the

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

The order axioms are satisfied by set of

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C

C and R

R

None of these

If A ⊆ B then A ∪ B is

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A

B

A'

A ∩B

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n(A)

n(B)

0

1

The graph of a linear function is

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a circle

triangle

a straight line

none of these

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What is the domain of y= Sin^-1 x?

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-1 ≤ x ≤1

1 ≤ x ≤ 1

0 ≤ x ≤ π

-π/2 ≤ x ≤ π/2

If x lies in {0, 2π} and Cosec x = 2 then x =

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π/ 6 and 5π/6

π +2nπ

nπ

2π/3 and π/3

Cos 315° =

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0.707

0.5

1

0

Tan (π + Tan^-1 x) =?

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Tan x

X

-x

Cot^-1 x

A standard deck of 52 cards shuffled what is the probability of choosing the queen of the diamonds

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1/5

1/13

5/52

1/52

If x² +y² = 4, Then dy/dx =

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2x +2y

4 -x²

-x/y

y/x

For any set X, X∪X is

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15

15i

-15i

-15

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

Graph of the equation X² + y² = 4 is

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a circle

an ellipse

a parabola

A square

The principal value of sin^-1 [√3/2] is

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π/3

-π/3

2π/3

5π/3

If i,m,n are the direction cosines of a vector O̅P̅ then

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I² + m² + n² =0

I² - m² + n² =1

I² + m² + n² =1

I² + m² - n² =0

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