In ` A B C` , the bisector of `/_B` meets `A C` at `Ddot` A line `P Q A C` meets `A B , B Ca n dB D` at `P ,Qa n dR` respectively, Show that `P RdotB Q=Q RdotB P` (ii) `A BxC Q=B CxA P`

In the figure bisector of /_B & /_D of quadrilateral ABCD meet CD and AB produced at P and Q respectively. Prove that /_P+/_Q=1/2(/_ABC+/_ADC).

In the figure bisector of /_B & /_D of quadrilateral ABCD meet CD and AB produced at P and Q respectively. Prove that /_P+/_Q=1/2(/_ABC+/_ADC).

In A B C and P Q R Figure, A B=P Q ,B C=Q R and C B and R Q are extended to X and Y respectively and /_A B X =/_P Q Ydot Prove that A B C~=P Q Rdot Figure

In Figure,bisectors of /_B and /_D of quadrilateral ABCD meet CD and AB produced at P and Q respectively.Prove that /_P+/_Q=(1)/(2)(/_ABC+/_ADC)

Two triangle ABC and D B C lie on the same side of the base B C . From a point P on B C ,P Q A B AND P R B D ARE DRAWN. They meet A C in Q and D C in R respectively. Prove that Q R A Ddot

In a triangle A B C , let P a n d Q be points on A Ba n dA C respectively such that P Q || B C . Prove that the median A D bisects P Qdot

The pth, qth and rth terms of an A.P. are a, b and c respectively. Show that a(q – r) + b(r-p) + c(p – q) = 0

In a ABC, the internal bisectors of /_B and /_C met at P and the external bisectors of /_B and /_C meet at Q. Prove that /_BPC+/_BQC=180^(@)

The sides A B and A C of a A B C are produced to P and Q respectively. If the bisectors of /_P B C AND /_Q C B intersect at O , then /_boc=90^0-1/2/_A GIVEN : A A B C in which sides A B and A C are produced to P and Q respectively. The bisectors of /_P B C and /_Q C B intersect at Odot

p A N D q are any two points lying on the sides D C a n d A D respectively of a parallelogram A B C Ddot Show that a r( A P B)=a r ( B Q C)dot