ABCD is a trapezium such that `A B||C Da n dC B` is perpendicular to them. If `/_A D B=theta,B C=p ,a n dC D=q` , show that `A B=((p^2+q^2)sintheta)/(pcostheta+qsintheta)`

ABCD is a trapezium such that AB,DC.are parallel and BC is perpendicular to them. If angleADB=theta, BC= p and CD=q , show that AB= ((p^2+q^2)sintheta)/(pcostheta+qsintheta

ABCD is a trapezium such that AB and CD are parallel and B C_|_C D . If /_A D B""=theta,""B C""=""p""a n d""C D""=""q , then AB is equal to (1) (p^2+q^2costheta)/(pcostheta+qsintheta) (2) (p^2+q^2)/(p^2costheta+q^2sintheta) (3) ((p^2+q^2)sintheta)/((pcostheta+qsintheta)^2) (4) ((p^2+q^2)sintheta)/(pcostheta+qsintheta)

A B C D is a trapezium in which A B D C . P and Q are points on sides A D and B C such that P Q A B . If P D=18 , B Q=35 and Q C=15 , find A D .

A B C D is a trapezium in which A B D C . P and Q are points on sides A D and B C such that P Q A B . If P D=18 , B Q=35 and Q C=15 , find A D .

If p sintheta+qcostheta=3&qsintheta-pcostheta=2 , then p^(2)+q^(2)=?

In Figure, A P\ a n d\ B Q are perpendiculars to the line segment A B\ a n d\ A P=B Q . Prove that O is the mid-point of line segment A B\ a n d\ P Q

In Figure, line l is the bisector of angle A a n d B is any point on ldotB P a n d B Q are perpendiculars from B to the arms of Adot Show that: A P B ~= A Q B BP=BQ or B is equidistant from the arms of /_A

In Figure, line l is the bisector of angle A\ a n d\ B is any point on ldotB P\ a n d\ B Q are perpendiculars from B to the arms of Adot Show that: A P B\ ~= A Q B BP=BQ or B is equidistant from the arms of /_A

In Figure, A D\ _|_C D\ and C B\ _|_ CD If A Q=B P\ a n d\ D P=C Q , prove that /_D A Q=/_C B P dot