Question # 1

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

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Ellipse

Parabola

Hyperbola

None of these

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5 sin x

cosh (5x)

5 cosh (5x)

-5 cosh (5x)

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

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0

2

1

3

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Unit vector

Null vector

Free vector

None of these

The symbol y = f(x) i.e. y is equal to f of x, invented by Swiss mathematician-----------:

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Euler

Cauchy

Leibniz

Newton

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4

2

1

f(x) is odd function. If and only if:

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f(-x) = -f(x)

f(-x) = f(x)

f(x) = 3f(-x)

f(x) = -3f(-x)

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

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x = a

x = -a

y = a

y = -a

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

A corner point is the point of intersection of:

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x-axis & y - axis

Boundary lines

Any two lines

None

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

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0

1

2

3

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

A scalar quantity is one that possesses only :

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Magnitude

Direction

Both a and b

None of these

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sinh x

cosh x

-sinh x

-cosh x

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

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1

-1

0

undefined

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4, -4

0

2, -2

0, 4

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

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x-axis

y-axis

Major axis

Minor axis

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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