XII Mathematics
30 Days –Scoring Worksheet - Day 9
Part 5 Marks
1. Find the foci, vertices and length of major and minor axis of the conic
4x 2 + 36 y 2 + 40x − 288y + 532 = 0
2. Find the centre, foci, and eccentricity of the hyperbola 11x 2 − 25y2 − 44x + 50 y − 256 = 0
3. Find the equations of tangent and normal to the ellipse x 2 + 4 y2 = 32 when θ = π/4
4. Show that the line x − y + 4 = 0 is a tangent to the ellipse x 2 + 3y2 = 12 . Also find the coordinates of the point of contact.
5. Find the equations of the tangent and normal to hyperbola 12x 2 − 9 y2 = 108 at θ = π/3
S.Saravana Kumar M.Sc., B.Ed., PGDCA.,
PG Asst., Jazz Public Mat Hr Sec School, Melur , Madurai Dist
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