Question # 1

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

None of these

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The line 3x - 4y = 0

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Is a tangent to the circle x²+ y²= 25

Is a normal to the circle x²+ y²=25

Does not meet the circle x²+ y²= 25

Does not pass thro' the origin

f(x) = C is

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identity function

constant function

linear function

quadratic function

There are ______ types of rational fraction

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Three

Four

Five

Two

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The graph of y> 0 is the upper - half of:

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y-axis

x-axis

1st and 4th quandrant

2nd and 3rd quadrant

The solution of the equation 3 tan²x = 1 is ____________

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none of these

The distance of the point (-2,3) from x-axis is

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-2

2

3

1

The area of circle of unit radius =

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0

1

4

π

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The gradient of the line joining (1,4) and (-2,5) is

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3/8

-2 2/3

-1/3

2

The parametric equation of a curve are x = t², y = t²then

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dy/dx =3t/2

dy/dx =t⁵

dy/dx =5t⁴

None

d/dx ∫x¹ dx =________.

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1/4 x⁴

X³

3x³

x⁴/4

The equation of two polynomials P(x)/Q(x) where Q(x) ≠ 0 with no common factor is called

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12

1

10

-10

If f₁ (x) and f₂ (x) are any two anti derivatives of a function F (x) then the value of f₁ (x) = f₂ (x)

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A variable

A constant

Undefined

Infinity

The direction cosines of y-axis are

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1,0,0

0,1,0

0,0,1

1,1,1

Sin^-1 (-x) =?

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Sin^-1 x

-Sin^-1 x

Cos^-1 x

-Cos^-1 x

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

Unit vector in the positive direction of x-axis is

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î

ĵ

k̂

All

If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7

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4

8

14

7

The value of Cos (1/2 Cos^-1 1/2) is equal to

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√3/2

-3/4

1/16

1/4

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