Question # 1

The seventh term of (x3+1/x)8is

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71

-22

27

28

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The angles with some initial and terminal sides are called

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Quadrantal angles

Coterminal angles

Allied angles

None

If y = eax sin bx and y2 - 2ay1 + (a2+b2) y=0 the for what values of a and b we have y2+10y1+34y =0

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a = -10,b=34

a=-5,b=3

a=5,b=3

a=10,b=34

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f(x) = 1 is

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identity function

constant function

linear function

quadratic function

The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if

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c =±√2

c =0

c=±√17

c=±√15

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

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Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both (A) and (B)

The principal value of sin^-1(-1/2)

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π/3

π/4

π/6

-π/6

A square matrix A for which A^t= A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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2x + 3

x²+ 3 + c

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

The period of cosec 10x is _______

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1

5

7

9

When the angle between the ground and the sun is 30^𝜊,flag pole costss a shadow of 40 mg long. the height of the top of the flag is

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25m

23m

12m

29m

The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

for n€ N, 3^{2n + 7 is divisible by}

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7

8

9

10

Let P(x₁, y₁) and Q(x₂, y₂) be two points in the co-ordinate plane. Let d = distance between P and Q

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Derivative of a w.r.t x is

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0

1

x

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y=0 of the parabola y² = 4ax is the

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equation of directirx

Equatio of the tangent

Equation of axis

equation of latus rectum

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

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1 + x + x²

1 - x - x²

-1 -x + x²

1 - x + x²

The formula an = arn-1represents

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nth term of G.P

Sum of the first n terms

G.M between a and b

None of these

The smallest positive root of the equation tan x - x = 0 lies on

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A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

0 is a symbol of

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singleton set

Empty set

Equivalent set

Infinite set

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