Question # 1

The vertex of the equation y² = 4ax is:

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(2, -2)

(1,1)

(0 , 0)

(2 , 2)

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

Vector i =

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[1,0]

[0,1,0]

[0,0,1]

None of these

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1

-1

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2, 3

3, 3

2, 6

2, 4

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none of these

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

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5

1/5

5/14

14/5

f(x) = 2x²+ 3x + 5 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

An equation of the form ax + by = k is homogeneous linear equation when:

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(x³- 3x²)⁸+ c

3x²- 6x + c

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

The distance of the point (a, b) from x-axis is

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a

b

a + b

tan 294° =______;

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tan 24°

-tan 24°

cot 24°

-cot 24°

The sum of even coefficient in the binomial expansion is

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2ⁿ⁺¹

2ⁿ

2^n-1

2n

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

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A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

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The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

The first three terms in the expansion of (1 + x)^-1are

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

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

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The set {1, -1, i, -i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

if A = (x/x€ Q˄ 0 < x < 1}, the A is

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Infinite set

Finite set

Set of rational numbers

Set of real numbers

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

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a.a^-1= a^-1.a = 1 is a

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Commutative law of multiplication

Multiplication identity

Associative law of multiplication

Multiplication inverse

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