Question # 1

The period sin²θis

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π²

π

2π

π/2

In quadratic equation y=ax³+bx+c, if b and c are both zero then the graph is

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Symmetric w.r.t.y-axis

Symmetric w.r.t.x-axis

Straight Line

Circle

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If G is the centroid of the triangle, then GA +GB+GC=

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0

1

-1

3

If t is the parameter for one end of a focal chord of the parabola y²= 4ax, then its length is

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If u = xi + yj, then|u|

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x² + y²

(x² +y²)²

x²-y²

√(x²+y²)

1⁰= ______

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

The ratio in which the line y- x+ 2 =0 divides the line joining (3,-1) and (8,9) is

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2:3

-2:3

3:2

-3:2

Derivative of sin x w.r.t. sin x is

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0

1

sin x

cos x

A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

The vector k = [0,0,1] is called unit vector along:

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x -axis

y - axis

z- axis

None of these

There is no integer n for which 3n is

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Even

Prime

Odd

Real

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Power set of X i.e P(X) _______ under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

(a +bi) -c (c +di) =

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(a +b) = (c +d)

(a +c) + i(b +d)

(a -c) + (c -d)i

(a -c) +(b -d) i

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1

-1

0

None of these

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

The additive inverse of 2/3 is

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3/2

-2/3

-3/2

0

In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=

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12

n=14

17

n=15

A function whose range is just one elements is called

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One-one function

Constant function

Onto function

Identity function

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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

Domain of cotθis

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none of these

A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

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