Question # 1

If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is

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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

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

If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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Parabola

Circle

Hyperbola

Ellipse

The span of a standard parabola depends upon

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x

a

y

y2

y=0 of the parabola y² = 4ax is the

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equation of directirx

Equatio of the tangent

Equation of axis

equation of latus rectum

A square is inscribed in the circle x²+ y²- 2x + 4y + 3 =0. Its sides are parallel to the co-ordinate axes. Then one vertex of the square is

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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 constant distance of all points of the circle from its centre is called the

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Radius of the circle

Secant of the circle

Chord of the circle

Diameter of the circle

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If eccentricity of ellipse becomes zero then it takes the form of

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A parabola

A circle

A straight line

None of these

The lotus of intersection of perpendicular tangents to the parabola y² = 4ax is:

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Axis of the parabola

Focal chord of the parabos

The tangent at vertex of the parabola

a directrix of the parabola

If the distance of any point on the curve from any of the two lines approaches zero then it is called

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Axis

Directrices

Asymptotes

None

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 point where the axis meets the parabola is called

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Directrix

Foucu

Chord

Vertix

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

The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

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

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The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

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

Conic sections or simply conics are the curves obtained by cutting a right circular cone by

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a line

two lines

a plane

two planes

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

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2

4

6

8

For the parabola the line through focus and perpendicular to the directrix is called

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Tangent

Vertex

Axis

None

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is

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an ellipse

a hyperbola

a circle

a parabola

Latus rectum = 4 x ______________

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focal distance of the vertex

Chord

Focus

1/2

The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

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0

1

2

Infinite

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5

25

3

ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

A line joining two distinct points on a parabola is called a ______ of the parabola.

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Chord

Tangent

Lust rectum

directrix

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