Page 1 Material downloaded from http://myCBSEguide.com and http://onlineteachers.co.in Portal for CBSE Notes, Test Papers, Sample Papers, Tips and Tricks 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]Read More

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