Question # 1

Range of y = sec x is

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-1≤ y≤ 1

y≥ 1 or y≤ -1

y≤ 1or y≥ -1

-∞ < y < +∞

The square matrix A is skew Hermitian when (A)'=

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A

A'

-A

A

The integral of 3x⁵dx is:

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15 x⁴

x⁶/2

1/6x⁵

x⁵/ln3

The square root of 2i - 20i is

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±(5 - 2i)

±(5+ 2i)

(5 - 2i)

None of these

sin[cot^-1{cos(tan^-1x)}]=

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The function f : x→ y defined as f (x) =α∀x∈ X,α∈ y is called

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Constant function

Polynomial function

Identity function

Linear function

p(x) = 2x⁴- 3x³+ 2x - 1 is polynomial of degree

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1

2

3

4

If tan^-13 + tan^-1x = tan^-18, then x=

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5

1/5

5/14

14/5

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

If sinθand cosθare the roots of the equation ax²- bx + c = 0, then a, b, c satisfy the relation

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b²- a²= 2ac

A²- b²= 2ac

A²+ b²= c²

B²+ a²= 2ac

Water seeps out of a conical filter at eh constant rate of 5 cm/sec. the height of the cone of water in the filter is 15 cm. the height of the filter is 20 cm and radius of the base is 10 cm. the rate at which the height of the water decreases is

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The set of rationals numbers between 0 and I is

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Finite

Null set

Infinite

None of these

For any real numbers x,y,xy=o ⇒

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x ≠ 0 ∧ y ≠ 0

x = 0 ∨ y = 0

x = 0

y = 0

Domain of cosec x is ______

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For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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Proper fraction

Improper fraction

Rational fraction

None of these

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A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

The solution of the equation cos²θ+ sinθ+ 1 = 0 lies in the interval

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A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

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)

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x + 1

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

If l, m, n are the d.c.'s of a line, then

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l2+ m2+ n2= 0

l2+ m2+ n2= 1

l + m + n = 1

l = m = n = 1

An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

If Z = (1,2), then Z^-1= ?

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(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

If the roots of ax²+ b = 0 are real and distinct then

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ab > 0

a = 0

ab < 0

a > 0, b > 0

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I

14 I

0

None of these

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