Question # 1

The vertical line y'oy is called:

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x-axis

y-axis

abscissa

Ordinate

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

x = 4 is a line:

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Parallel to x - axis

Parallel to y - axis

Perpendicular to y-axis

None of these

The point of intersection of the perpendicular bisectors of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

Let f(x) = x³ + sin x, then f(x) is:

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Even function

Odd function

Power function

None of these

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

The line y = c is above the x - axis, if:

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c > 0

c < 0

c = 0

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Implicit

Explicit

Exponential

Logarithmic

The radius of point circle is:

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0

(0, 0)

r

1

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x = 0

y = -a

y = 0

y = -a

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Parallel lines

Non-parallel lines

Perpendicular lines

Coplanar lines

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

undefined

The length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

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- cosec² x

cosec²x

- cosec x cot x

cosec x cot x

In the case of rotation of axes which formula is true:

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The graph of linear equation of the form ax + by = c is a line, which divides the plane into ______ disjoint regions, where a, b and c are constants and a, b are not both zero.

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One

Two

Thre

None of these

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Undefined

3a²

a²

0

For different values of k, the equation 4x + 5y = k represents lines ______ to the line 4x + 5y = 0.

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Perpendicular

Parallel

Equal

None of these

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sinh x

cosh x

-sinh x

-cosh x

Equation of a line parallel to x-axis:

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x = 0

x = y

y = a

x = a

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