Question # 1

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

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)

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36

42

48

12

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

f(x) = sin x + cos x is ------------ function:

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Even

Odd

Composite

Neither even nor odd function

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The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

The instantaneous rate of change of y with respect to x is given by:

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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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0

The ratio in which y-axis divides the line joining (2, -3) and (-5, 6) is:

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2 : 3

2 : 5

1 : 2

3 : 5

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

Point of intersection of lines x - 2y + 1 = 0 and 2x - y + 2 = 0 equals:

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(1, 0)

(0, 1)

(-1, 0)

(0, -1)

Cosh² x - Sinh² x =

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1

-1

2

-2

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1

2

3

0

cosh^-1x =

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Distance of the point (-3, 7) from x-axis is:

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3

-3

7

10

x = c is a line:

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Perpendicular to x-axis

Parallel to x-axis

Perpendicular to y-axis

None of these

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

Sir Isaac Newton was a(an) --------- mathematician.

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