Question # 1

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0

1

If one end of the diameter of the circle 2x²+ 2y²-8x - 4y = 2 = 0 is (2 ,3), the other end is:

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(2,1)

(-2,1)

(2,-1)

(1,-1)

The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

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6

20

0

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

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32

31

64

1024

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

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

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(x + 3) (x + 4) = x²+ 7x + 12 is ______

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Quadratic equation

Linear equation

Cubic equation

Identity

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

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15

9

7

8

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

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

If a polynomial P(x) is divided by x - a, then the remainder is

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P(o)

P(-a)

P(a)

None of these

y=0 of the parabola y² = 4ax is the

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equation of directirx

Equatio of the tangent

Equation of axis

equation of latus rectum

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

∫ x cos dx is equal to :

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x cos x + sin x

cos x + x sin x

x cos x + x sin x

x sin x + cos x

If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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If 3x⁴+ 4x³+ x - 5 is divided by x + 1, then the reminder is

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0

7

-7

5

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Range of cotθis

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(+∞to -∞)

(-1 to +1)

(-5 to +5)

Set of even numbers only

The area bounded by y = x (x2 - 4) and below x - axis is

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4

0

-4

8

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

If sinαand cosαare the roots of the equation px²+ qx + r =0, then

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p²- q²+ 2pr = 0

(p + r)²= q²- r²

p²+ q²- 2pr = 0

(p - r)²= q²+ r²

The three noncollinear points through which a circle passe are known, then we can find the:

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Variables x and y

Value of x and c

three constants f,g and c

inverse of the circle

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none of these

2.333....is a

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Irrational no

Complex no

Rational no

None of these

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