Question # 1

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

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1

-1

0

None of these

The quadratic formula is

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A

A'

U

A A'

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP²+ CQ²+ CR²+ CS²=

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r²

2 r²

3 r²

4 r²

If z=(x,y) then z has no multiplicative inverse when

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x ≠ 0, y = 0

x = 0, y = 0

x = 0, y ≠ 0

None of these

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The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

A circle which touches one side of a triangle externally and the other two sides produced is called ______

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In-circle

Circum cirle

Escribed circle

None of these

y=-a is the equation of the directrix of

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y2 =4ax

x2=-4ay

x2=4ay

y2=-4ax

3/2 is

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An irrational number

Whole number

A positive integer

A rational number

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a tan(ax + b) + c

- a tan(ax + b) + c

Cos 0° = ______

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-1

0

1

Undefined

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The multiplicative inverse of 1 - 2i is

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3x + 4 < 0 is

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inequality

equation

identity

not inequality

The multiplicative inverse of 2/3 is

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3/2

-2/3

-3/2

1

The consecutive terms of a progressions are 30, 24, 20. The next term of the progression is

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(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

sin(3π/2 -θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

The distance of the points (3, 4, 5) from y-axis is

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For any set B,B∪B' is

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Is set B

Set B'

Universal set

If Projvu = Projuv, then

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Uand vare parallel

|u|=|v|

Uandvre perpendicular

One ofuorv

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

cos⁴θ- sin⁴θ=

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cos4θ

cos2θ

-sinθ

sin2θ

The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

For f(x) = x² + px +1, if f(3) = 3 then P =

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3/7

-2/5

-7/5

-7/3

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