Question # 1

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

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1 cm

7cm

4cm

5cm

The vertex of the parabola x² = -4ay is:

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(a, 0)

(0, 0)

(0, -a)

(0, a)

The line l is horizontal if and only if slope is equal to:

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0

1

2

undefined

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

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4a

2a

4b

2b

If the inclination of the line l lies between ]0°, 90°[, then the slope of l is:

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Positive

Negative

Undefined

None of these

The term function was introduced by:

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Euler

Newton

Lagrange

Leibniz

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x| + c

ln |cosec x + cot x | + c

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

None of these

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

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[0]

[0, 0]

[0, 0, 0]

None of these

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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sin x

cos x

sinh x

cosh x

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Integration

Integrand

Constant of integration

None of these

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

If the degree of a polynomial function is ------------, then it is called a linear function:

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0

1

2

3

The centroid of the triangle whose vertices are (3, -5), (-7, 4) and (10, -2) is:

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(-2, -2)

(-2, 2)

(2, -1)

(0, 0 )

The distance between the points (1, 2), (2, 1).

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1

2

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