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 – 
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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