Question # 1

The cross product or vector product of two vectors is defined:

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Only in plane

Only in space

Both a and b

None of these

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Unit Vector

Null vector

Position vector

None of these

Point of intersection of x + y = 5 & x - y = 3 is:

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(5, 5)

(4, 2)

(4, 1)

(1, 4)

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Derivative

Differential

Integral

None of these

The derivative of x with respect to y is given by:

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e^ax

f(x)

e^axf(x)

e^{ax + f(x)}

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

The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

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A chord containing the center of the circle is called ______ of the circle:

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Diameter

Chord

Radius

None of these

A region, which is restricted to the ________ quadrant, is referred to as a feasible region for the set of given contraints.

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First

Third

Second

Fourth

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

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x = a

x = 0

y = a

y = 0

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

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1

0

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sinh x

cosh x

-sinh x

-cosh x

If a = 0, then the line ax + by + c = 0 is parallel to:

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y - axis

x - axis

along y - axis

None of these

The directrix of the parabola x² = 4ay is:

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x = a

x = -a

y = a

y = -a

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

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