Question # 1

The magnitude of a vector can never be

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Zero

Negative

Positive

None of these

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

In one hour, the hour hand of a clock turns through

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The value of sin²20° + sin²70° is equal to

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1

2

-1

1/2

In R the number of identity element w.r.t '+' is

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One

Two

Three

Four

The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are

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cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

cos (α+β) + cos (α-β) =

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4 cosαcosβ

2 cosαcosβ

2 sinαsinβ

2 sinαcosβ

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

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