Question # 1

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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

The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

The line joining the center of a circle to the midpoint of the chord is

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Perpendicular to the tnagent

Perpendicular to the normal

Perpendicular to the chord

Two circles x2 +y2 +8x -9= 0 and x2+y2+6y +k =0 touchinternallyif the value of k is

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k = 9

k = ±9

k=-9

k=11

The number of standard parabolic functions are is

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4

2

3

1

Coordinates of the focus of the parabola x² - 4x -8y-4=0 are:

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(0,2)

(,0,1)

(2,0)

(1,2)

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none of these

The sum of the focal distance from any point on the ellipse 9x2 +16y2 =144 is

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32

16

18

8

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

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The axis of the parabola x² = 4ay is:

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y = 0

x = 0

x = -a

y = a

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11

61

1

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If a > 0 they parabola y2 =-4ax lies in

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I and iv quadrant

I quadrant

II and III quadrant

All are incorrect

Number of conics is

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1

3

2

4

The tangents drawn from the point P to a circle are real and distinct if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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The centre of the conic x2 +16x +4y2 -16y +76 =0 is

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(0,10)

(-8,4)

(-8,-2)

(1,1)

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

The eccentricity of parabola is:

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1

0

Greater than 1

Less than 1

If (a, b) is the mid-point of a chord passing thro' the vertex of the parabola y²= 4x, then

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a = 2b

2a = b

a²= 2b

2a = b²

The span of a standard parabola depends upon

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x

a

y

y2

A line segment whose end points lie on a circle is called

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the secant of the circle

the arc of the circle

the chord of the circle

the circumference of the circle

The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

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The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

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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