12th Maths – 30 Days – Scoring Worksheet – Day 5


XII Mathematics

30 Days –Scoring Worksheet – Day 5


Part I – 5 Marks

Identify     the
type of conic and find centre, foci, vertices, and directrices

9x2 – y2
– 36x – 6y + 18 = 0

Find the equations of tangent and normal to
the parabola x2 + 6x + 4y + 5 = 0 at (1 , -3 )

A bridge has a parabolic arch that is 10m
high in the centre and 30m wide at the bottom. Find the height of the arch 6m
from the centre, on either sides.        

At a water fountain, water attains a
maximum height of 4m at horizontal distance of 0.50 m from       its origin. If the path of water is a
parabola,        find the          height of water at a horizontal
distance of 0.75 m from the point of origin.

On lighting a rocket cracker it gets
projected in a parabolic path and reaches a maximum height of 4m when it is 6m
away from the point of projection. Finally it reaches the ground 12m away from
the starting point. Find the angle of projection.


S.Saravana Kumar Msc., B.Ed., PGDCA

Jazz Public Mat Hr Sec School, Melur , Madurai Dist


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