Question # 1

The radius of circle x² + y² + ax + by + c = 0 is:

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None

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

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Even

Odd

Composite

Neither even nor odd function

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Line parallel to x-axis

Line parallel to y-axis

Line passing through the origin

Both (a) and (b)

The set of all points in the plane that are equally distant from a fixed point is called a / an:

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Circle

Circular cone

Ellipse

Point circle

The inequality x < a is the open half plane to the __________ of the boundary line x = a:

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Above

Left

Below

Right

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Integration

Integration w.r.t.x.

Differentiation

Differentiation w.r.t.x

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

The point of intersection of internal bisectors of the angles of a triangle is called:

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Centroid

Ortho-centers

Circums-center

In-center

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

A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

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Undefined

3a²

a²

0

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3

4

5

6

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

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30°, 110°

40°, 100°

50°, 90°

20°, 120°

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Parabola

Hyperbola

Ellipse

Circle

Let f(x) = x², real valued function then domain of f is the set of all:

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Real numbers

Integers

Positive numbers

Natural numbers

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

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

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

If the graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative

The graph of the parabola x² = -4ay lies in quadrants:

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I and II

III and IV

II and III

I and III

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