Question # 1

The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

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The tangent to the parabola y2 =4ax and perpendicular line from the focus on it meet

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x =0

y =0

x =-9

y = -a

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

If x + y + 1 = 0 touches the parabola y²=λx, thenλis equal to

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2

4

6

8

The equation of the parabola with directirx x = 2 and the axis y = 0 is

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y²= 8x

y²= -8x

y²= 4x

y²= -4x

The equation of the circle with centre (-h, -k) and radius r is

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(x +h)²+ (y+k)²= r²

(x +h)²+ (y-k)²= r²

(x -h)²+ (y+k)²= r²

(x -h)²+ (y-k)²= r²

The equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

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none of these

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

Two circles are said to be concentric if they have

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same radius

same chord

same centre

same diameter

The equation of the chord of the circle x²+ y²- 4x = 0 whose mid-point is (1, 0) is

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y = 2

y = 1

x = 2

x = 1

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(-6,4)

(-3,2)

(6,-4)

(3, -2)

Number of conics is

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1

3

2

4

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

I f the focus is F ( 0,-a) and directrix is the line v=a, then equation of the parabola is:

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x² = 4ay

y² = 4ax

y² = -4ax

x² = 4ax

The vertices of the ellipse x²+ 4y²= 16 are

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The radius of the circle (x - 1)²+ (y + 3)²= 61 is

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8

4

64

None of these

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Area of the circle with ends of a diameter at (-3,2) and (5,-6)

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128π sq. units

64π sq. units

32π sq.units

None of these

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