The parameters from of the ellipse 4( x + 1) 2 + (y - 1) 2 = 4 is

x = cos θ - 1, y = 2 sin θ + 1

x = cos θ - 1, y = 2 sin θ - 1

x = 2cos θ - 1, y = sin θ + 1

x = cos θ + 1, y = 2 sin θ + 1

x = cos θ + 1, y = 2 sin θ - 1

The parabola y 2 = 4 x and the circle x 2 + y 2 - 6 x + 1 = 0 will

intersect at two distinct points

touch each other at two distinct points

touch each other at exactly one point

JEE Questions for Maths Conic Section Quiz 1

0%
2x - 3y = 1
0%
x = 0
0%
x = 1
0%
y = 0

Eccentricity of rectangular hyperbola is

0%
0%
2)
0%
0%

The parameters from of the ellipse 4(x + 1)² + (y - 1)² = 4 is

0%
x = cos θ - 1, y = 2 sin θ - 1
0%
x = 2cos θ - 1, y = sin θ + 1
0%
x = cos θ - 1, y = 2 sin θ + 1
0%
x = cos θ + 1, y = 2 sin θ + 1
0%
x = cos θ + 1, y = 2 sin θ - 1

The length of the transverse axis of a hyperbola is 2cos α. The foci of the hyperbola are the same as that of the ellipse 9x² + 16y² = 144. The equation of the hyperbola is

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

0%
an ellipse
0%
a hyperbola
0%
a circle
0%
none of these

0%
0%
2)
0%
0%

0%
an ellipse
0%
a hyperbola
0%
a circle
0%
none of these

If the distance directrices of a rectangular hyperbola is 10, then distance between its foci will be

0%
10√2
0%
5
0%
5√2
0%
20

0%
0%
2)
0%
0%

0%
0
0%
1
0%
2
0%
3

The distance between the foci of the hyperbola x² - 3y² - 4x - 6y - 11 = 0 is

0%
4
0%
6
0%
8
0%
10

The eccentricity of the ellipse 9x² + 5y² - 30y = 0 is

0%
1/3
0%
2/3
0%
3/4
0%
4/5

0%
Eccentricity
0%
Directrix
0%
Abscissae of vertices
0%
Abscissae of foci

The foci of the conic section 25x² + 16y² - 150x = 175 are

0%
(0, ± 3)
0%
(0, ± 2)
0%
(3, ± 3)
0%
(0, ± 1)

0%
3y = ± 25
0%
y = ± 3
0%
3y = ± 5
0%
y = ± 5

The equation of the latusrectum of the parabola x² + 4x + 2y = 0, is equal to

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

0%
4
0%
8
0%
10
0%
12

The equation of the common tangent touching the circle (x -3)² + y² = 9 and the parabola y² = 4x above the x-axis is

0%
0%
2)
0%
0%

The equation of the directrix of the parabola y² + 4y + 4x + 2 = 0 is

0%
x = -1
0%
x = 1
0%
x = -3/2
0%
x = 3/2

Coordinates of the foci of the ellipse 5x² + 9y² + 10x - 36y - 4 = 0,a re

0%
(1,and (-3, 2)
0%
(2,and (-3, 2)
0%
(1,and (3, 2)
0%
None of these

0%
0%
2)
0%
0%

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y² = 4ax is another parabola with directrix

0%
x = –a
0%
x = –a/2
0%
x = 0
0%
x = a/2

0%
8
0%
12
0%
16
0%
20

The eccentricity of the hyperbola conjugate to x² - 3y² = 2x + 8 is

0%
2/√3
0%
√3
0%
2
0%
None of these

The eccentricity of the hyperbola 9x² - 16y² - 18x - 64y - 199 = 0 is

0%
16/9
0%
5/4
0%
25/16
0%
0

0%
centre only
0%
centre, foci and directrices
0%
centre, foci and vertices
0%
centre and vertices

The locus of the point which moves such that rhe ratio of its distance from two fixed points in the plane is always a constant K (

0%
a hyperbola
0%
an ellipse
0%
a straight line
0%
a circle

0%
13/3
0%
√13
0%
√3
0%
√13/3
0%
5/3

0%
192
0%
64
0%
16
0%
32
0%
128

The equation of the common tangent to the curves y² = 8x and xy = –1 is

0%
3y = 9x + 2
0%
y = 2x + 1
0%
2y = x + 8
0%
y = x + 2

The eccentricity of the conic 4x² + 16y² - 24x - 32y = 1 is

0%
1/2
0%
√3
0%
√3/2
0%
√3/4

0%
27/4 sq. units
0%
9 sq. units
0%
27/2 sq. units
0%
27 sq. units

For the ellipse 24x² + 9y² - 120x - 90y + 225 = 0, the eccentricity is equal to

0%
2/5
0%
3/5
0%
0%
1/5

If b and c are the lengths of the segments of any focal chord of a parabola y² = 4ax, then the length of the semi - latusrectum is

0%
0%
2)
0%
0%

The focal chord to y² = 16x is tangent to (x – 6)² + y² = 2, then the possible values of the slope of this chord, are

0%
{–1, 1}
0%
{–2, 2}
0%
{–2, –1/2}
0%
{2, –1/2}

The latusrectum of the parabola y² = 4ax, whose focal chord is PSQ, such that SP = 3 and SQ = 2 is given by

0%
24/5
0%
12/5
0%
6/5
0%
1/5

Distance between foci is 8 and distance between directrices is 6 of hyperbola, the length of latusrectum is

0%
4√3
0%
4/√3
0%
0%
None of these

The distance between the directrices of the hyperbola x = 8 secθ, y = 8 tanθ is

0%
8√2
0%
16√2
0%
4√2
0%
6√2

0%
3/4
0%
3/5
0%
√41/4
0%
√41/5

The eccentricity of the ellipse 25x² + 16y² - 150x - 175 = 0 is

0%
2/5
0%
2/3
0%
4/5
0%
3/4
0%
3/5

The locus of a point which moves such that the difference of its distance from two fixed points is always a constant, is

0%
a circle
0%
a straight line
0%
a hyperbola
0%
an ellipse

Let A and B be two distinct points on the parabola y² = 4x. If the axis of the parabola touches a circle of radius 2 having AB as its diameter, then the slope of the line joining A and B can be

0%
- (1/2)
0%
1/2
0%
1
0%
None of these

If a ≠ 0 and the line 2bx + 3cy + 4d = 0 passes through the points of intersection of the parabolas y² = 4ax and x² = 4ay, then

0%
d2 + (2b - 3c)2 = 0
0%
d2 + (3b - 2c)2 = 0
0%
d2 + (2b + 3c)2 = 0
0%
d2 + (3b + 2c)2 = 0

0%
abscissae of vertices
0%
abscissae of foci
0%
eccentricity
0%
directrix

If the foci of the ellipse x²/9 + y² = 1 subtend right angle at a point P. Then, the locus pf P is

0%
x2 + y2 = 1
0%
x2 + y2 = 2
0%
x2 + y2 = 4
0%
x2 + y2 = 8

The distance between the vertex of the parabola y² = x² - 4x + 3 and the centre of the circle x² = 9 - (y - 3)² is

0%
2√3 units
0%
3√2 units
0%
2√2 units
0%
√2 units
0%
2√5 units

The parabola y² = 4x and the circle x² + y² - 6x + 1 = 0 will

0%
intersect at exactly one point
0%
touch each other at two distinct points
0%
touch each other at exactly one point
0%
intersect at two distinct points

The equation of the ellipse whose distance between the foci is equal to 8 and distance between the directrix is 18, is

0%
5x2 - 9y2 = 180
0%
9x2 + 5y2 = 180
0%
x2 + 9y2 = 180
0%
5x2 + 9y2 = 180

A point P moves, so that sum of its distances from (–ae,and (ae, 0)is 2a. Then, the locus of P is

0%
0%
2)
0%
0%

The parametric representation of a point on the ellipse whose foci are ( -1,and (7,and eccentricity 1/2 is

0%
(3 + 8 cos θ, 4 √3 sinθ)
0%
( 8 cos θ, 4 √3 sinθ)
0%
(3 + 4 √3 sinθ, 8 sinθ)
0%
None of the above

JEE Questions for Maths Conic Section Quiz 1 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Conic Section Quiz 1 - MCQExams.com

0:0:1

Practice Maths Quiz Questions and Answers

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