Question # 1

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

X-co-ordinate of centroid of triangle ABC with A(-2, 3); B(-4, 1); C(3, 5) equals:

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-1

1

3

-3

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

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e^ax

f(x)

e^axf(x)

e^{ax + f(x)}

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

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Position vector of O

Position vector of P

Unit vector

Null vector

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x = a

x = 2

x = 0

None

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

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c > 0

c < 0

c = 0

The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

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Integration

Integrand

Constant of integration

None of these

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

A parallelogram is a rhombus if and only if its diagonals are:

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Parallel

Perpendicular

Equal

None of these

If the lower limit is a constant and the upper limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

A function P(x) = 6x⁴ + 7x³ + 5x + 1 is called a polynomial function of degree -------- with leading coefficient -------.

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4, 6

2, 7

2, 3

2, 5

The number e denotes the _________ of the conic:

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Directrix

Vertex

Focus

Eccentricity

ax + b < c is a inequality of:

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One variable

Two variable

Three variable

Four variable

Let f(x) = cos x, then f(x) is an:

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Even function

Odd function

Power function

None of these

The inequality y > b is the open half plane to the ______ of the boundary line y = b:

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Above

Left

Below

Right

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