Question # 1

PQ is a post of given height a, and AB is a tower at some distance;αandβare the angles of elevation of B, the top of the tower, at P and Q respectively. The height of the tower and its distance from the post are

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If n is any positive integer then n! > n²for

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In set builder notation the set {0,1,2,........100} can be written as

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{x / xε B ∧ x ≤ 100}

{x / x ∈ W ∧ x < 101}

{x / x ∈ Z ∧ x < 101}

The set of first 100 whole numbers

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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A non-terminating non_recurring decimal represents an

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Irrational no

Both a & c

Rational no

None of these

A vector of magnitude zero is called

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Position vector

Null vector

Free vector

None of these

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if one root of the equation ix2 - 2(i + 1) x +(2 - i)= 0 is 2 - i then the other root is

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-i

2 + i

i

2 - i

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2x + 3

x²+ 3 + c

A square matrix A = [aij] is lower triangular matrix when

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aij = 0 for all i<j

bij = 0

cij = 0

dij = 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

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The proposition S(k+1) is true when ______ is true∀K∈N

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S(n)

S(k)

S(1)

S(k-1)

The period of tan x/7 is

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3π

7π

15π

5π

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Addition

Multiplication

Division

Both addition and multiplication

In natural logarithm the base is

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1

0

10

e

(7, 9) + (3, -5) =

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(4, 4)

(10, 4)

(9, -5)

(7, 3)

O is ______

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A positive integer

A negative integer

A natural number

An integer

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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-1

1

2

-2

The set of rational number is represented by

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W

R

Q'

Q

Tan 180° = ______

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-1

0

1

Undefined

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3/4

-3/4

4/3

-4/3

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

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If 2x^1/3+ 2x^-1/3= 5, then x is equal to

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1 or -1

2 or 1/2

8 or 1/8

4 or 1/4

The solution of the equation 3 tan²x = 1 is ____________

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none of these

If distance of (a,b) from x-axis is 2 then

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a = 2

b = 2

a = b

b = 4

If sin (πcosθ) = cos (πsinθ), then which of the following is correct?

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