Question # 1

Equation of normal to the circle x2 + y2 =25 at (5cosθ,5sinθ)

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xcosθ+ysinθ =5

xcosθ -ysinθ =0

xsinθ -ycosθ =0

None of these

The set (Q, .)

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

i¹⁰¹ =

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i

i²

-i

-1

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

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1

-1

0

I

The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at

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(acos a,asin a)

(a,0)

(cos a,sin a)

(0,0)

The lines that form the cone are called its:

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Generation

Circular cone

nappes

conics

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An open sentences formed by using the sign of equality '=' is called ______

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An identity

An equation

A polynomial

None of these

Q∪ Q' =

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Q

Q'

N

R

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

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(1, 2) is in the solution of the inequality

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

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