Question # 1

If a > 0 they parabola y2 =-4ax lies in

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I and iv quadrant

I quadrant

II and III quadrant

All are incorrect

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

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

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x + 2

x + 3

x - 3

x - 4

(a+bi) - (c+di)=

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(a+b) = (c+d)

(a+c) + i(b+d)

(a - c) + (c- d)i

(a - c)+ (b - d)i

Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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Tan(α-β)=

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

√25 is a number

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Rational

Irrational

Natural

Odd

cos(π/2-θ) = ________;

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cosθ

sinθ

-cosθ

-sinθ

If a≠ , b≠ 0 and|a=b|=|a-b|,then vectors a and b are:

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Parallel to each other

Perpendicular to each other

Inclined at 60^o

neither parallel nor perpendicular

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