Question # 1

The parametric equation of a curve are x = t², y = t³then

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The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

√x = ______ if is a prime number

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Rational no

Natural no

Irrational no

Complex no

Which is a proper rational fraction

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The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is

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i¹⁰¹=

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i

i²

-i

-1

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sec 3x + c

- cosec 3x + c

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

sin (α -β)=

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sinαcosβ- cosαsinβ

sinαcosβ+ cosαsinβ

sinαcosα- cosβsinβ

The line through the focus and perpendicular to the directrix is called ______ of the parabola

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axis

focal chord

tangent

latus rectum

If A is a non singular matrix then A^-1= ______

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For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

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

The sixth term of the sequence 1,3,12,60....is

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1500

72

2160

2520

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1/8

1/2

1/4

1/6

The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

The foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

i is equal

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(1 , 0)

(0 , 1)

(1 , 1)

(0 , 0)

n(n - 1) (n - 2) in factorial form is

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1

-1

If y=f(x) is a function then x is called

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dependent variable

independent variable

constant

none of these

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Singleton set

A set with two points

Empty set

None of these

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1

-1

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

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none of these

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

In school there are 150 students Out of these 80 students enrolled for mathematics class 50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time Find the number of students who have taken both physics and mathematics.

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40

30

50

20

f(x) = ax + b will be an identity function if

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a = 1 , b = 1

a = 1 , b = 0

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