Question # 1

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

A pair of lines of homogeneous second degree equation ax² + 2hxy + by² = 0 are othogonal, if:

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a - b = 0

a + b = 0

a + b > 0

a - b < 0

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sinh x

cosh x

-sinh x

-cosh x

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Integration

Integrand

Constant of integration

None of these

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e^2x sin x + c

e^2xcosx + c

-e^2xsin x + c

-e^2xcosx + c

x = a is a vertical line perpendicular to __________.

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x - axis

x - axis may be

y - axis

None of these

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

-4 < y < 4 is the solution of the following:

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y = 5

y = 3

y = -4

y = 4

If (1, x) is the mid point of the line segment joining the points (1, 2) & (1, 6) then x =

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1

2

3

4

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

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Secant

Diameter

Chord

Tangent

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sech x tanh x

-sech²x

-sech x tanh x

sech²x

y = b is a horizontal line parallel to _________:

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x - axis

x - axis may be

y - axis

None of these

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

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x

y

lower limit

upper limit

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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sin x

cos x

sinh x

cosh x

If the line segment obtained by joining any two points of a region lies entirely within the region, then the region is called _________:

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Maximum

Vertex

Minimum

Convex

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

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a

4a

2a

None of these

The point of intersection of the medians of a triangle is called:

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Centroid

Ortho-center

Circums-center

In-center

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Even

Odd

One-one

Zero

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7

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