C1 and C2 touch each other exactly at two points

C1 and C2 touch each other only at one point

C1 and C2 intersect (but do not touch) at exactly two points

C1 and C2 neither intersect nor touch each other

JEE Questions for Maths Conic Section Quiz 7

The points on the parabola y² = 12x whose focal distance is 4 are

0%
0%
2)
0%
0%
None of these

The focal distance of a point on the parabola y² = 16x whose ordinate is twice the abscissa, is

0%
6
0%
8
0%
10
0%
12

The coordinates of the extremities of the latus rectum of the parabola 5y² = 4x are

0%
0%
2)
0%
0%
None of these

A parabola passing through the point (–4, –has its vertex at the origin and y–axis as its axis. The latus rectum of the parabola is

0%
6
0%
8
0%
10
0%
12

The focus of the parabola x² = –16y is

0%
(4, 0)
0%
(0, 4)
0%
(–4, 0)
0%
(0, –4)

A parabola has the origin as its focus and the line x = 2, as the directrix. Then the vertex of the parabola is at

0%
(1, 0)
0%
(0, 1)
0%
(2, 0)
0%
(0, 2)

If the parabola y² = 4ax passes through (–3, 2), then length of its latus rectum is

0%
2/3
0%
1/3
0%
4/3
0%
4

The ends of latus rectum of parabola x² + 8y = 0 are

0%
(–4, –and (4, 2)
0%
(4, –and (–4, 2)
0%
(–4, –and (4, –2)
0%
(4,and (–4, 2)

The end points of latus rectum of the parabola x² = 4ay are

0%
(a, 2a), (2a, –a)
0%
(–a, 2a), (2a, a)
0%
(a, –2a), (2a, a)
0%
(–2a, a), (2a, a)

The equation of the parabola with its vertex at the origin, axis on the y-axis and passing through the point (6, –is

0%
0%
2)
0%
0%

Focus and directrix of the parabola x² = –8ay are

0%
(0, –2a) and y = 2a
0%
(0, 2a) and y = –2a
0%
(2a,and x = –2a
0%
(–2a,and x = 2a

The equation of the parabola with focus (3,and the directrix x + 3 = 0 is

0%
0%
2)
0%
0%

Locus of the focal chords of a parabola is of parabola

0%
The tangent at the vertex
0%
The axis
0%
A focal chord
0%
A focal chord

The parabola y² = x is symmetric about

0%
x – axis
0%
y – axis
0%
Both x–axis and y–axis
0%
The line y = x

The point on the parabola y² = 18x, for which the ordinate is three times the abscissa is

0%
(6, 2)
0%
(–2, –6)
0%
(3, 18)
0%
(2, 6)

The equation of latus rectum of a parabola is x + y = 8 and the equation of the tangent at the vertex is x + y = 12, then length of the latus rectum is

0%
0%
2)
0%
8
0%

Vertex of the parabola y² + 2y + x = 0 lies in the quadrant

0%
First
0%
Second
0%
Third
0%
Fourth

0%
A parabola
0%
An ellipse
0%
A hyperbola
0%
A circle

0%
0%
2)
0%
0%

The equation of the latus rectum of the parabola x² + 4x + 2y = 0 is

0%
2y + 3 = 0
0%
3y = 2
0%
2y = 3
0%
3y + 2 = 0

The point on parabola 2y = x², which is nearest to the point (0,is

0%
(±4, 8)
0%
(±1, 1/2)
0%
(±2, 2)
0%
None of these

The equation of the parabola whose axis is vertical and passes through the points (0, 0), (3,and (–1,is

0%
0%
2)
0%
0%

The equation of the parabola whose vertex is (–1, –2), axis is vertical and which passes through the point (3,is

0%
0%
2)
0%
0%
None of these

The coordinates of the focus of the parabola described parametrically by x = 5t² + 2, y = 10t + 4 are

0%
(7, 4)
0%
(3, 4)
0%
(3, –4)
0%
(–7, 4)

The equation of a tangent to the parabola y² = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

0%
(–1, 1)
0%
(0, 2)
0%
(2, 4)
0%
(–2, 0)

The equation of the parabola with (–3,as focus and x + 5 = 0 as directrix is

0%
0%
2)
0%
0%

The equation of the parabola whose vertex and focus lies on the x–axis at distance a and a’ from the origin is

0%
0%
2)
0%
0%

The straight lines y = ±x intersect the parabola y² = 8x in points P and Q, then length of PQ is

0%
4
0%
4√2
0%
8
0%
16

Vertex of the parabola x² + 4x + 2y – 7 = 0 is

0%
(–2, 11/2)
0%
(–2, 2)
0%
(–2, 11)
0%
(2, 11)

If the axis of a parabola is horizontal and it passes through the points (0, 01), (0, –and (6,then its equation is

0%
0%
2)
0%
0%
None of the above

The equation of the latus rectum of the parabola represented by equation y² + 2Ax + 2By + C = 0 is

0%
0%
2)
0%
0%

The parametric equation of the curve y² = 8x are

0%
0%
2)
0%
0%
None of these

The equation of the latus rectum of the conic y² = 5/2 x is

0%
0%
2)
0%
0%
0%

The equation of the parabola whose vertex and focus are (0,and (0,respectively is

0%
0%
2)
0%
0%

0%
16
0%
8
0%
64
0%
–64

0%
0%
2)
0%
0%

The axis of the parabola is along the line y = x and the distance of its vertex from the origin is √2 and that from its focus is 2√2. If vertex and focus both lie in the first quadrant, then the equation of the parabola is

0%
0%
2)
0%
0%

The vertex of a parabola is the point (a, b) and latus rectum is of length l. If the axis of the parabola is along the positive direction of y-axis, then its equation is