Question # 1

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

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0

1

2

3

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The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is

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The period of the trigonometric function y = sin x cos x is

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2π

π

4π

π / 2

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I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

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x² = 4ay

y² = 4ax

y² = -4ax

x² = 4ax

Which of the following represents a vector

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(x, y)

The set of the first elements of the orders pairs forming a relation is called its

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Relation in B

Range

Domain

Relation In A

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The maximum value of the quadratic function f(x) = -2x2+20x,is

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4

3

50

7

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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360°

180°

90°

None of these

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9

-9

0

1

Number of conics is

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1

3

2

4

The slope of the tangent of the circle x³ + y³ =25 at (4,3) is:

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-4/5

4/3

-25/4

25/3

The equation of motion of a stone thrown vertically up wards is s = ut - 4.9t²the maximum height attained by it =

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The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

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0

1

2

Infinite

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Imaginary

Rational

Irrational

Real numbers

In following question, a number series is given with one term missing. choose the correct alternative that will same pattern and fill in the blank spaces.1 , 4, 9, 16, 25, x

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35

36

48

49

The set { {a, b} } is

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Infinite set

Singleton set

Two points set

Empty set

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