Question # 1

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

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A dice is rolled. The probability that the dots on the top are greater than 4 is

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1/6

1/3

1/2

1

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¹⁰C₆

¹⁰C₅

¹⁰C₄

None

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

If the roots of ax²+ bx + c = 0 (a > 0) be greater than unity, then

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a + b + c = 0

a + b + c > 0

a + b + c < 0

None of these

In any triangle ABC,with usual notationαsinβ =____;

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b sinα

bsinβ

αsinα

None of these

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If (2,0) is the vertex and y-axis is directrix of parabola then focus is

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(2,0)

(-2,0)

(4,0)

(-4,0)

The quadratic equation 8 sec²θ- 6 secθ+1 = 0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

Two positive integers whose sum is 30 and their product will be maximum are

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12,18

10,20

15,15

14,16

The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

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none of these

cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

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3x + 4 < 0 is

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not inequality

equation

identity

inequality

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x-axis

y-axis

z-axis

None of these

The quadratic formula is

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

4/√49 is a

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Irrational Number

Prime Number

Rational number

Whole number

What is the number of elements of the power set of {0, 1}

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1

2

3

4

IfΔABC is right, law of cosine reduce to

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Law of sine

Law of tangent

Phthogorous theorem

Hero's formula

If you are looking a high point from the ground, then the angle formed is

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Angle of elevation

Angle of depression

Right angle

Horizon

What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

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cos(3π/2 +θ) = _____;

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sinθ

cosθ

-sinθ

-cosθ

1.4142135... is ______

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A natural number

A rational number

A prime number

An irrational number

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

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