Question # 1

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The multiplicative inverse of -1 in the set {1-,1} is

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1

-1

±1

0

Does not exist

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to

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1

4

2

8

The distance of the point (-2 , -3) from x-axis is

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2

-3

3

5

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 first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

The number of points of intersection of two curves y = 2 sin x and y = 5x²+ 2x + 3 is

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0

1

2

None of these

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4x + 1

4x

2x³

none of these

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xa^x-1

a^x

x in a

a^xIn a

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sin x + c

-sin x + c

cos x + c

-cos x + c

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

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-1

1

2

-2

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(0.90)^1/2is equal to

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0.99

0.90

0.80

0.88

The centre of the circle x2+y2 -2fx-2gy+x=0 is

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(-g,-f)

(g,f)

(f,g)

(-f,-g)

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additive property

multiplicative property

additive identity

multiplicative identity

n!/(n-1)!=

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n

n!

(n-1)!

0!

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

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1

-1

0

None of these

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none of these

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

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Addition

Subtraction

Multiplication

Division

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