Question # 1

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

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If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

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Integration

Integrand

Constant of integration

None of these

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x = a

for all x

x = 0

The term dy (or df) = f '(x) dx is called the __________ of the dependent variable y.

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Differentiation

Integration

Differential

None of these

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

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Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

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Line parallel to x - axis

Line parallel to y - axis

Inclined

Both (a) and (b)

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0

Let f(x) = x³ + sin x, then f(x) is:

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Even function

Odd function

Power function

None of these

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

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-cosec x cotx

cosec² x

-cosec²x

cosec x cotx

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

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Curve

Circle

Straight line

Parabola

An integral of 3x² is:

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x³+c

3

6x

x^2+c

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

The feasible solution, which maximizes or minimizes the objective function, is called the _________:

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Maximum solution

Optimal solution

Minimum solutions

None of these

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