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 sum even binomial coefficient of (3+2x)5 is ______term

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16

30

8

32

(a,0) x (c, 0) =

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(0,ac)

(ac, 0)

(0,0)

(a, c)

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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1

-1

5

2

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The symbol ______ shall be used both for equation and identity

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The roots of the equation ax²+ bx + x = 0 are real and distinct if

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b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

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Reflexive property

Symmetric property

Transitive property

Additive property

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

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1

0

3

-1

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1/x

-x

2x

0.5 x

The vertex of the equation y² = 4ax is:

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(2, -2)

(1,1)

(0 , 0)

(2 , 2)

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Rule of quotient of fraction

Golden rule of fraction

Rule for product of fraction

Principle for equality of fraction

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0

1

2

None of these

The condition for polynomial equation ax²+ bx + c = 0 to be quadratic is

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For all points (x,y) in first quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

The vertex of the standard position angles lies on

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(0,0)

(0,1)

(1,0)

(1,1)

QUQ'

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If a₁, r and a_nare the first term, common ratio and the nth term respectively of a G. P. then a_n=

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a₁rⁿ

a₁r^n-1

a₁rⁿ⁺¹

a₁r

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30°

45°

60°

90°

Sin 90° = ______

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-1

0

1

Undefined

The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

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

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Addition

Multiplication

Subtraction

Division

The mid point of the line segment joining the points (4,0) and (0,4) is

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(4,4)

(2,2)

(-4,-4)

(-2,-2)

The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

Optimize means ______ a quantity under certain constraints

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Minimize

Maximize

Maximize or minimize

None of these

The number of terms in the expansion of (a + x)¹²is

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13

12

11

10

π is ______

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A complex number

A rational number

A natural number

An irrational number

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

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