Question 5
Calculate the length (in cm) of PQ. if the radius of the circle is 7 cm and the line through the centre 0 meets the tangent at point P such that OP = 25 cm.
Solution
Given : OQ = 7 cm and OP = 25 cm
To find : PQ = ?
Solution : In right $$\triangle$$ POQ
=> $$(PQ)^2=(OP)^2-(OQ)^2$$
=> $$(PQ)^2=(25)^2-(7)^2$$
=> $$(PQ)^2=625-49=576$$
=> $$PQ=\sqrt{576}=24$$ cm
=> Ans - (C)
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