2
1. Find the length of the tangent from a point 17 cm away from
the centre of circle of radius 8 cm.
If the median of the observations x, 3x, 5x and 7x is 12, then
find the mean of them.
3. Bavi said that cos xº=4/3 does not exists for some value of
angle x, why ? Explain.
4. In A ABC, DE II BC and D, E points are lies on AB, AC respectively,
then show that triangle ABC ~ A ADE
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Answer:
1. Draw a circle with centre O.
Such that AB is a tangent of the circle and OB is the radius of the circle = 8 cm. And join AO such that AO = 17 cm.
Now in triangle AOB.
AB = under root (AO)^2 - (OB)^2 cm.
= under root (17)^2 - (8)^2 cm.
= under root 289 - 64 cm.
= under root 225 cm.
= 15 cm.
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