Question # 1

The range of the principle cot function is

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The multiplicative inverse of -3i is

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3i

-3i

-1/3i

1/3 i

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

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A fraction in which the degree of the numerator is less than the degree of the denominator is called

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Polynomial

Equation

Proper fraction

Improper fraction

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

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matrix

Transpose

Symmetric

Non-symmetric

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The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

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ⁿC_r

ⁿ⁺¹C_r+1

ⁿC_r+1

None

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none of these

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

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

x is a member of the set [-1, 0, 3, 5] y is a member of the set {-2, 1, 2, 4} which is possible?

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x - y = -6

x - y < -6

x - y > -6

None

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0

1

-1

None of these

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a.b and c

4/√49 is a

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Irrational Number

Prime Number

Rational number

Whole number

Range of 3 sin x is ______

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[ -3, 3]

[-1, 1]

R

None of these

A chimney is such that on walking towards it 50 m in a horizontal line through its base the angular elevation of its top changes from 30° to 45°. The height of the chimney is

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Tan^-11/x = ______

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sin x

sec^-1X

cot^-1X

None of these

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InΔABC if y = 90° then the Pythagoras theorem is

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b2 + c2 =a2

a2 + b2 = c2

a2 +c2 = b2

None of these

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1

2

3

None of these

The line y =mx +1 is tangent to the parabola y2 =4x if

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m=1

m=2

m=3

m=4

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

If all members of a sequence are real numbers then it is called

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A.P

Real Sequence

G.P

None of these

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

The solution of differential equation:

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dy/dx+y/x = x²is :

4xy = x⁴+ c

4x = x⁴= c

4 y = x⁴+ c

4x=4x³ + c

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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