Question # 1

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

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A.M

A.P

G.P

G.M

The point R dividing internally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio K₁: K₂has the coordinates

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Free vector

Null vector

Unit vector

None of these

1⁰= ______

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1.5 rad

0.5 rad

0.175 rad

None of these

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The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

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The towers each 120 meters high are 800 meters apart. The measure of the angle of elevation from the base of one tower to the top of the other is

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12^𝜊

9^𝜊

7^𝜊

-120^𝜊

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f(x)g(x)- ∫g(x) f′(x) dx is equal to

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∫f(x)g′(x)dx

∫f′(x)g(x)dx

∫f′(x)g(x)′dx

∫f(x)g(x)dx

The parabolay2=4ax open up if

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a<0

a≠0

a>0

All are incorrect

(n + 2) (n + 1) n= ______

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sin5θ+sin3θ = _______;

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2sin 4θ cosθ

2cos 4θ sinθ

2cos 4θ cosθ

-2sin 4θ sinθ

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Which one is not defined∀n∈Z+

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-n!

n!

(-n)!

n!+0!=n!+1

The graph of a linear function is

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a circle

triangle

a straight line

none of these

If f(x) = x²- x then f(2) is

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4

6

2

0

Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

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The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

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If S_rdenotes the sum of the first r terms of a G.P., then S_n, S_2n- S_n, S_3n- S_2nare in

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A.P.

G.P.

H.P.

None of these

The 7th term of the A.P 7,11,15,is

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24

31

26

23

The principal value of sin-1√(3/2) is

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-π/3

π/3

2π/3

π/2

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The line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

A right angle is the angle of measure

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90'

60°

60"

90°

If a^x= b^y= c^zand a, b, c are in G.P. then x, y, z are in

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A.P.

G.P.

H.P.

None of these

f(x) = C is

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identity function

constant function

linear function

quadratic function

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i =

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