Question # 1

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

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Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

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1/2,1/3,1/4,1/5.........is

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a geometric sec

an arithmetric series

finite sequence

an infinite sequece

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

The set of the first elements of the orders pairs forming a relation is called its

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Relation in B

Range

Domain

Relation In A

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(x, y)

(kx, y)

(x, ky)

(kx, ky)

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The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

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√(-1b) =?

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b i

-i b

b2

i√b

The domain of f(x) = log x is

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[0,∞]

(0,∞)

[0,∞[

[∞,∞]

Period of cosec x is ______

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Roots of the equation x²+ 2x + 3 = 0 are

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Real and equal

Real and distinct

Complex

None of these

If Z₁= 1 + i, Z₂= 2+3i, then |Z₁- Z₂| = ?

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Both the roots of the equation (x - b) (x - c) + (x - c)(x - a) + (x - a)(x - b) = 0 are always

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Positive

Negative

Real

None of these

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

Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is

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3! P(n, r - 3)

P(n, 3) P(n, r - 3)

P(r, r)P(n, r - 3)

P(n - 3, r)

The many subset can be formed from the set {a,b,c,d}

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8

4

12

16

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-1

0

1

undefined

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

A circle which touches one side of a triangle externally and the other two sides produced is called ______

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In-circle

Circum cirle

Escribed circle

None of these

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{1, 2, 3, 4,.....} is set of ______

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Natural numbers

Whole numbers

Integers

Rational numbers

The point lying on the terminal rat of -270° is

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(1,0)

(0,-1)

(0,1)

(-1,0)

sin (2π-θ)

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cosθ

sinθ

tanθ

-sinθ

How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

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