Question # 1

Roots of the equation x²- 7x + 10 = 0 are

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{2, 5}

{-2, 5}

{2,5}

{-2,-5}

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- cos x

sin x

- sin x

sec x

What is the conjugate of -7 -2i?

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-7 + 2i

7 + 2i

7 -2i

None of these

The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

The distance of the points (3, 4, 5) from y-axis is

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The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

The 5th term of (3a-2b)^-1is

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77b²/a⁵

16b²/243 a⁵

17b⁴/43a⁵

25b³/43a⁵

Which of the following is a quadrantal angle

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100°

200°

170°

270°

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cot x + c

tan x + c

-cot x + c

-tan x + c

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

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At

-A

A

A-1

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16

None of these

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x-axis

y-axis

z-axis

None of these

graph of trigonometric function y = sec x does not meet

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x - axis

y -axis

both axis

None of these

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

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0

-1

1/2

1

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8

4

64

The unit vector along z-axis is

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none of these

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A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

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The tangents drawn from the point P to a circle are real and coincident if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

r + 3 >5 then which is true

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r + 2 > 4

r + 2 < 4

r + 2 = 4

None

A set having only one element is called

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An empty set

Universal set

A singleton set

A power set

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w¹⁵= ______

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0

1

w

w²

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

There are two middle terms in the expansion of (a+x)n if n is

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Even +ve integer

+ve integer

Odd +ve integer

All

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