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# Conic Section - MCQ, Sample Test paper, Mathematics, Class XI Class 11 Notes | EduRev

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## Class 11 : Conic Section - MCQ, Sample Test paper, Mathematics, Class XI Class 11 Notes | EduRev

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TEST PAPER-05
CLASS - XI MATHEMATICS (Conic Section)

1.
Find the centre of the circles ( )
2
2
1 2 x y + - =
( ) ( ) ( ) ( ) ( ) ( ) ( ) 1,0   0,1   1, 2  A B C D None of these
[1]
2.
Find the radius of circles ( )
2
2
1 2 x y + - =
( ) ( ) ( ) ( ) 2   2   2 2   A B C D None of these
[1]
3.
Find the length of latcus rectum of
2
22 x y = -
( ) ( ) ( ) ( ) 11   22   22   A B C D - None of these
[1]
4.
Find the length of latcus rectum of
2 2
25 4 100 x y + =
( ) ( ) ( ) ( )
3 1 8
units    units    units
5 5 5
A B C D None of these
[1]
5.
Find the lengths of axes & length of lat us rectum of the hyperbola,
2 2
1
9 16
y x
- =
[4]
6.
Find the eccentricity of the hyperbola of
2 2
1
9 16
y x
- =
[4]
7. Find the equation of the hyperbola with centre at the origin, length of the
trans verse axis 6 & one focus at ( ) 0, 4
[4]
8.
Find the equation of the ellipse, the ends of whose major axis are ( ) 3,0 ± & at
the ends of whose minor axis are ( ) 0, 4 ±
[4]
9.
Find the equation of the parabola with focus at ( ) 4,0 F & directrix 3 x = -
[4]
10.
If 2 y x = is a chord of the circle
2 2
10 0, x y x + - = find the equation of the circle
with this chord as a diameter
[4]
11. Find the equation of the ellipse with centre at the origin, major axis on the y â€“
axis & passing through the points ( ) ( ) 3, 2  &  1,6
[6]
12.
Prove that the standard equation of an ellipse is
2 2
2 2
1
x y
a b
+ =
Where a & b are the lengths of the semi major axis & the semi- major axis
respectively & a > b.
[6]
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