JEE Questions for Maths Conic Section Quiz 8 - MCQExams.com

Maths-Conic Section-17543.png

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

Maths-Conic Section-17545.png

0%
1
0%
2
0%
0
0%
None of these

Maths-Conic Section-17547.png

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

The point of contact between the line y = x + 2 and the parabola y² = 8x has the coordinates

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(2, 3)
0%
(2, 2)
0%
(4, 2)
0%
(2, 4)

Maths-Conic Section-17553.png

0%
0%
2)
0%
0%

Let a circle touches to the directrix of a parabola y² = 2ax has its centre coinciding with the focus of the parabola. Then the point of intersection of the parabola and circle is

0%
0%
2)
0%
0%

Maths-Conic Section-17564.png

0%
0%
2)
0%
0%

Which of the following points lie on the parabola x² = 4ay

0%
0%
2)
0%
0%

The equation of the parabola whose vertex is at (2, –and focus at (2, –is

0%
0%
2)
0%
0%

The length of the common chord of the parabolas y² = x and x² = y is

0%
0%
1
0%
0%

The equation of the parabola with focus (0,and directrix x + y = 4 is

0%
0%
2)
0%
0%

Maths-Conic Section-17588.png

0%
2
0%
–2
0%
3
0%
–3

Maths-Conic Section-17590.png

0%
y = 3
0%
y = –3
0%
y = 2
0%
y = 0

Maths-Conic Section-17592.png

0%
0%
2)
0%
0%

Maths-Conic Section-17598.png

0%
A pair of straight lines
0%
An ellipse
0%
An ellipse
0%
A hyperbola

Maths-Conic Section-17600.png

0%
0%
2)
0%
0%

Maths-Conic Section-17606.png

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

Maths-Conic Section-17611.png

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

Maths-Conic Section-17616.png

0%
0%
2)
0%
0%

Maths-Conic Section-17622.png

0%
0%
2)
0%
0%

Maths-Conic Section-17628.png

0%
0%
2)
0%
0%

Maths-Conic Section-17634.png

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

Maths-Conic Section-17639.png

0%
0%
2)
0%
0%

The point of the contact of the tangent to the parabola y² = 4ax, which makes an angle of 60^o with x-axis is

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

Maths-Conic Section-17649.png

0%
0%
2)
0%
0%

Maths-Conic Section-17655.png

0%
0%
2)
0%
0%

Maths-Conic Section-17661.png

0%
(–6, –9)
0%
(–13, –9)
0%
(–6, –7)
0%
(13, 7)

Maths-Conic Section-17663.png

0%
0%
2)
0%
0%

The angle of intersection between the curves y² = 4x and x² = 32y at point (16, 8), is

0%
0%
2)
0%
0%

The locus of a foot of perpendicular drawn to the tangent of parabola y² = 4ax from focus is

0%
0%
2)
0%
0%

Maths-Conic Section-17679.png

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

Maths-Conic Section-17681.png

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

Maths-Conic Section-17685.png

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

The angle between the tangents drawn at the end points of the latus rectum of parabola y² = 4ax is

0%
0%
2)
0%
0%

Maths-Conic Section-17695.png

0%
0%
2)
0%
0%

The locus of the point of intersection of the perpendicular tangents to the parabola x² = 4ay is

0%
Axis of the parabola
0%
Directrcix of the parabola
0%
Focal chord of the parabola
0%
Tangent at vertex to the parabola

The angle between the tangents drawn from the origin to the parabola y² = 4a(x –a) is

0%
0%
2)
0%
0%

Maths-Conic Section-17706.png

0%
0%
2)
0%
0%

Maths-Conic Section-17712.png

0%
0%
2)
0%
0%

Maths-Conic Section-17718.png

0%
They both touch each other at P
0%
They cut at right angles at P
0%
The tangents to each curve at P make complementary angles with the x-axis
0%
None of the above

Maths-Conic Section-17720.png

0%
0%
2)
0%
0%

Maths-Conic Section-17726.png

0%
(3, –4), (13, 4)
0%
(–3, –4), (13, –4)
0%
(3, 4), (–13, 4)
0%
(5, –8), (–5, 8)

If the parabola y² passes through the point (1, –2), then the tangent at this point is

0%
x + y – 1 = 0
0%
x – y – 1 = 0
0%
x + y + 1 = 0
0%
x – y + 1 = 0

The equation of the tangent to the parabola y² = 16x, which is perpendicular to the line y = 3x + 7 is

0%
y – 3x + 4 = 0
0%
3y – x + 36 = 0
0%
3y + x – 36 = 0
0%
3y + x + 36 = 0

Maths-Conic Section-17730.png

0%
0%
2)
0%
0%

Maths-Conic Section-17736.png

0%
y = x + 1
0%
y = x + 2
0%
y = x – 2
0%
y = –x + 2

Maths-Conic Section-17738.png

0%
A straight line
0%
A circle
0%
A parabola
0%
Two straight lines

The line x – y + 2 = 0 touches the parabola y² = 8x at the point

0%
(2, –4)
0%
2)
0%
0%
(2, 4)

The tangent to the parabola y² = 4ax at the point (a, 2a) makes with x-axis an angle equal to

0%
0%
2)
0%
0%

The coordinates of a moving point P are (2t² + 4, 4t + 6). Then its locus will be

0%
Circle
0%
Straight line
0%
Parabola
0%
Ellipse

0:0:1

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