Question # 1

The function ø(x) is ananti derivativeof function f (x),x∈Df if

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ø′(x) =∫f(x)dx

ø(x) =∫f(x)dx

ø′(x) =f(x)

ø(x) =∫′(x)dx

If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

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The sum of first n even number is

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n2

n(n+1)

n+1

n+2

In triangle ABC, in which b=95, c=34, a =52^𝜊then the value of a=

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18 cm

18.027 cm

20.7 cm

19 cm

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

The centre fo the circle x²+ y²+ 12x -10 = 0 is

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(12, -10)

(6, -5)

(-12, 10)

(-6, 5)

(a +bi) -c (c +di) =

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(a +b) = (c +d)

(a +c) + i(b +d)

(a -c) + (c -d)i

(a -c) +(b -d) i

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

x = sin^-13, then the value of sin x is

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√(3/2)

3

Not possible

-1

The polynomial x - a is a factor of the polynomial f(x) if and only if

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f(a) is positive

f(a) is negative

f(a) = 0

None of these

The5thand 13th terms of an A.P are 5 and-3 respectively The first term of the A.P is

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1

-15

9

2

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3 x 1

1 x 3

3 x 3

1 x 1

The set { 1 , -1} is closed w.r.t.

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Addition

Multiplications

Subtraction

None of these

sec (-360°) = ______

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0

1

2

3

n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

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0

1

2

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

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Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

The general solution of tan 3x = 1 is

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none of these

If (x₁, y₁) and (x₂,y₂) are the end points of a diameter then the centre of the circle is

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There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

If x-2 and x-1 both are factors of x³-3x³+2x-4p, then P must equal to

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1

2

0

-2

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Tan^-11/x = ______

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sin x

sec^-1X

cot^-1X

None of these

4/√49 is a

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Irrational Number

Prime Number

Rational number

Whole number

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