jee-advanced 2001 Q31

jee-advanced · India · screening Standard trigonometric equations Tangent Lines and Tangent Lengths

31. Let $P Q$ and $R S$ be tangents at the extremities of the diameter $P R$ of a circle of radius $r$. If PS and RQ intersect at a point X on the circumference of the circle, then 2 r equals :
(A) $\sqrt { } ( \mathrm { PQ } . \mathrm { RS } )$
(B) $( P Q + R S ) / 2$
(C) $( 2 \mathrm { PQ } \cdot \mathrm { RS } ) / ( \mathrm { PQ } + \mathrm { RS } )$
(D) $\sqrt { } ( ( P Q 2 + R S 2 ) / 2 )$

31. Let $P Q$ and $R S$ be tangents at the extremities of the diameter $P R$ of a circle of radius $r$. If PS and RQ intersect at a point X on the circumference of the circle, then 2 r equals :\\
(A) $\sqrt { } ( \mathrm { PQ } . \mathrm { RS } )$\\
(B) $( P Q + R S ) / 2$\\
(C) $( 2 \mathrm { PQ } \cdot \mathrm { RS } ) / ( \mathrm { PQ } + \mathrm { RS } )$\\
(D) $\sqrt { } ( ( P Q 2 + R S 2 ) / 2 )$\\

Paper Questions

Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21 Q22 Q23 Q24 Q25 Q26 Q27 Q28 Q29 Q30 Q31 Q32 Q33 Q34 Q35