Question # 1

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cos⁴θ- sin⁴θ=

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cos4θ

cos2θ

-sinθ

sin2θ

If a particle moves according to the law s = t³- t², then its velocity at time t = 1.5 is

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9/2

15/4

5

None

(A ∩ B)c =

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A∩ B

(A ∪ B)c

Ac∪Bc

Φ

Another name of quadratic equation is

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Polynomial

2nd degree polynomial

Linear equation

simaltaneous equations

The roots of (b-c)x2+(c-a) x+a-b=0 are equal if

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2b = a+c

2a = b+c

2c = a+b

a + b + c =0

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

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R

(-∞,0]

(-∞,1]

[0,∞)

Every natural number is

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A prime number

An irrational number

An integer

An even number

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A tower subtends an angleαat a point on the same level as the root of the tower and at a second point, b meters above the first, the angle of depression of the foot of the tower isβ. The height of the tower is

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b cotαtanβ

b tanαtanβ

b tanαcotβ

None of these

Derivative of x³w.r.t x is

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0

1

3x²

x³

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

For≥ -2 , 1+3+5+......+(2n+5)

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(n+2)²

(n-2)²

2n+1

(n+3)²

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Area of inscribed circle is

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π R2

π η2

π r22

π r2

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4

6

8

10

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In (x + iy), y is called as

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Imaginary part

Complex number

Real part

None of above

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If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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parabola

circle

hyperbola

ellipse

If G is a G.M between a and b then a,G,b are in

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A.P

H.P

G.P

None of these

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The standard parabolic form of the equation f(x) = x² +4 x +1 is

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x(x+4)+1

(x+2)²-3

(x+4)³ + 9

x(x-2)²+1

x = sin^-13, then the value of sin x is

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√(3/2)

3

Not possible

-1

A sequence is a function whose domain is

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N

Subset of N

R

None of these

Name the property used in 4 + 9 = 9 + 4

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

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