Question # 1

A person standing on the bank of a river finds that the angle of elevation of the top of a tower on the opposite bank is 45°. then which of the following statements is correct?

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Breadth of the river is twice the height of the tower

Breadth of the river an the height of the tower are the same

Breadth of the river is half of the height of the tower

None of these

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a^x

a^xIn a

The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

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none of these

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

i =

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Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

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

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A finite set

An infinite set

An empty set

None of these

If 0 is not an integral multiple of π/2 then Cot⁴ θ+ Cot² θ=?

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Cosec⁴ θ -Cosec²θ

Tan θ - Tan² θ

Cosec² θ + Cosec θ

Sinθ Cosθ

The number of diagonals of a six sided figure are

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9

6

12

3

If x² +y² = 4, Then dy/dx =

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2x +2y

4 -x²

-x/y

y/x

For which of the following ordered pairs (s,t) is s + t> and s- t < -3?

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(3,2)

(2,3)

(1,8)

(0,3)

If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then

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1

ω²

ω

0

∫1/ax +b dx =

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1/a log |ax + b| +c

Log |ax + b| +c

1/b log |ax +b| +c

1/x log |ax + b| +c

Which is not included in the domain of Cos^-1 x

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0

1

-1

2

If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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1

2

3

4

If i,m,n are the direction cosines of a vector O̅P̅ then

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I² + m² + n² =0

I² - m² + n² =1

I² + m² + n² =1

I² + m² - n² =0

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

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√3 I

√7

-2-1

√5

The curves y =x², y= x interest at

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(0,0) ,(1,1)

(2,4)

(0,),(2,4)

(0,3),(-1,1)

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