Question # 1

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

The line Ax + By + C = 0 will touch the circle x²+ y²=λ when

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C²=λ(A²+ B²)

A²=λ(A²+ C²)

B²=λ(A²+ C²)

None of these

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If a > 0, b > 0, c > 0, then the roots of the equation ax²+ bx + c = 0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

If the terminal rays of an angle falls on any axis then the angle is called

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Allied angle

Acute angle

Standard position

Quadrantal angle

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0

1

1/2

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

The triangle that does not have a right angle is called.

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Isosceles triangle

right angle triangle

equivalent triangle

oblique triangle

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The exact degree value of the function sin-1( -√3/2) is

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70^ο

50^ο

90^ο

60^ο

√x = ______ if is a prime number

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Rational no

Natural no

Irrational no

Complex no

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For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

If f (x) is defined and continuous then f (x) is always

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Rational function

Trigonometric function

Logarithmic function

All are correct

Two tangents drawn from (2,3) to the circle x2+y2 =9 are

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Real and distinct

Imaginary

Real and coincident

None of these

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The value of sin^-1 5/13 is equal to

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Cos 5/13

Tan^-1 5/12

cos^-15/12

2 cos^-14/5

w¹¹= ______

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0

1

w

w²

A circle drawn inside a triangle and touching its sides is called

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In-circle

Circum circle

Escribed circle

None of these

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0

1

-1

none of these

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

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0

1

2

4

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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none of these

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0

-4

none of these

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If the domain of the function f: x⟶ 2x³+ 1 is {-1,2,3}, the range of the function is

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{3,2,5}

{1,3,9}

{-1,-2,-3}

{3,9,19}

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