Question # 1

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

If n is any positive integer then n! > 2^n-1for

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(ABC)' =

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CBA'

CBA

C' B' A'

None of these

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

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√5

√7

-1-2i

√3

Express as a sum or difference: 2 sin 5θcosθ

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cos 4θ- cos 2θ

sin 4θ+ sin 2θ

cos 4θ+ cos 2θ

sin 4θ- sin 2θ

In R the number of identity element w.r.t '+' is

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One

Two

Three

Four

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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The first three terms in the expansion of (1 - x)^-3are

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1 + 3x + 6x²

1 - 3x + 6x²

-3 - 3x - 6x²

1 - 3x - 6x²

The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

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If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

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30^ο

35^ο

45^ο

60^ο

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The law of sines

The law of tangents

The pythagorus theorem

None of these

The maximum value of the quadratic function f(x) = 2x2-4x+7,is

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3

5

-3

-5

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A Series which does not coverage to a Unique sum is called

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Harmonic Series

Oscillatroy Series

Arithmetic Series

None of these

The graph of linear equation 2x + 3y = 10

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Parabola

Circle

Hyperbola

Straight line

The condition for polynomial equation ax2 + bx + c = 0 to be quadratic is

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a > 0

a < 0

a≠ 0

a≠ 0,b ≠ 0

The circle (x - 2)²+ (y + 3)²= 4 is not concentric with the circle

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(x - 2)²+ (y + 3)²= 9

(x + 2)²+ (y - 3)²= 4

(x + 2)²+ (y - 3)²= 8

(x - 2)²+ (y + 3)²= 5

Range of cot x is ______

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[-1, 1]

R

Negative real numbers

R - {x | - 1 < x < 1}

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

The solution set of the equation 1 + Cos x = 0 is __________

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none of these

Domain of cosh x is

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R

R -{0}

[1,∞)

[0,∞)

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Even

Odd

Prime

None of these

If you are looking a high point from the ground, then the angle formed is

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Angle of elevation

Angle of depression

Right angle

Horizon

If A and B are two disjoint events then

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P(A∪B)=P(A)+P(B)

P(A∪B)=P(A)-P(A∪B)

P(A∪B)=P(A)or P(B)

None

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(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

F(x) = x^xdecreases in the interval

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(0, e)

(0, 1)

(-∞,0)

None

The set of rational number is represented by

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W

R

Q'

Q

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xy

y

0

x

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