Question # 1

If the radius of a circle is zero, then the circle is called a / an:

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Circle

Circular cone

Ellipse

Point circle

The general solution of differential equation of order n contains n arbitrary constants, which can be determined by ------------ initial value conditions.

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1

0

2

n

If the inclination of a line lies between ]90°, 180°[, then the slope of line is :

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Positive

Negative

Zero

undefined

The technique or method to find such a function whose derivative is given involves the inverse process of differentiation called:

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Differentiation

Integration

Differential

None of these

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

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The term function was introduced by:

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Euler

Newton

Lagrange

Leibniz

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0

2

1

-1

x = c is a vertical line parallel to __________.

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x-axis

y-axis may be

y-axis

None of these

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

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A line through a point say P perpendicular to the tangent to the curve at P is called:

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Straight line

Tangent line

Normal line

None of these

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

If y = sin x then dy =

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cosy dx

cos x

cosx dx

cos xdy

The number e denotes the _______ of the conic:

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Directrix

Vertex

Focus

Eccentricity

The region of the graph ax + by > c is called ______ half plane:

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Open

Boundary of

Closed

None of these

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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The directrix of the parabola y² = 4ax is:

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x = a

x = -a

y = a

y = - a

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

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f(x² + 1)

f(x)

f(x²)

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