**XII Mathematics**

**30 Days –Scoring Worksheet – Day 3**

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__Part I – 3 Marks__

1)

A semielliptical archway over a one-way

road has a height of 3m and a width of 12m. The truck has a width of 3m and a

height of 27 m. Will the truck clear the opening of the archway?

2)

The maximum and minimum distances of the

Earth from the Sun respectively are 152 x 10^{6}km and 94.5 × 10^{6} km. The Sun is at one focus

of the elliptical orbit. Find the distance from the Sun to the other focus

3)

A concrete bridge is designed as a

parabolic arch. The road over bridge is 40m long and the maximum height of the

arch is 15m. Write the equation of the parabolic arch.

4)

Find the equation of the parabola end

points of latus rectum( 4, – 8)and ( 4 , 8)

5)

Find the vertices, foci for the hyperbola

9x^{2}-16y^{2}=144

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

Jazz Public Mat Hr Sec School, Melur , Madurai Dist

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