Question # 1

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-2x cos x²

-2x²sin x²

-x²sin x

-2x²sin x²

The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

The difference of two consecutive terms of an A.P is called the

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Common difference

Common ratio

Geometric series

Geometric mean

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i¹⁰¹ =

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i

i²

-i

-1

The familiar plane curves, namely circle, ellipse, parabola and hyperbola are called:

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cones

conics

nappes

apex

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A onto B

both a & c

A into B

none of these

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A die is thrown 100 times. If getting an odd number is considered a success, the variance of the number of successes is

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50

25

10

100

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

x²+ x - 6 = 0 is a conditional equation and it is true for

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2, 3

2, -3

-2, -3

-2, 3

Multiplicative inverse of "1" is

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+- 1

0

1

None of these

The latus rectum of the ellipse 5x²+ 9y²= 45 is

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10 / 3

5 / 3

3 / 5

3 / 10

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Associate law of addition

Commutative law of addition

Additive identity

Closure law of addition

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

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(0,ac)

(ac,0)

(0,0)

(a,c)

The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

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1

-1

The sum of the roots of the equation x2 -6x +2 = 0 is

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-6

2

-2

6

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

The law of sines can be used to solve

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Right angle triangle

Isosceles triangle

oblique triangle

haxagon

The range of the principle cos function is

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Range of tan x is ______

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[-1, -]

R

Negative real numbers

R - {x | - 1 < x < 1}

A statement which is either true or false is called

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Induction

Deduction

Propositicon

Logic

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

Ifᵨ> 1 , then the conic, is:

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Ellipse

Parabola

Hyperbola

None of these

The eccentricity e of an ellipse is always

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Rational

Real

Irrational

Integer

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none of these

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Singular

Non-singular

Adjoint

None of above

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Second derivative of y = x⁹+ 10x²+ 2x - 1 at x = 0 is

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10

20

12

1

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