If `P-Q-R` and `d(P, Q) =2 , d(Q,R)=7` Then find d(P,R)

If P:Q = 2:9 and Q :R = 3:7, find P:R.

If P=3Q = 7R, find P:Q:R.

In Figure, if P Q_|_P S ,\ P Q S R ,\ /_S Q R=28^0a n d\ /_Q R T=65^0, then find the values of x\ a n d\ y

If P + Q = R and P - Q = S, prove that R^2 + S^2 = 2(P^2 + Q^2)

In Figure, side Q P\ a n d\ R Q of P Q R are produced to point S\ a n d\ T respectively. If /_S P R=135^0a n d\ /_P Q T=110^@ , find /_P R Q

P Q R S is a cyclic quadrilateral such that P R is a diameter of the circle. If /_Q P R=67^0\ a n d\ /_S P R=72^0, then /_Q R S= (a) 41^0 (b) 23^0 (c) 67^0 (d) 18^0

sides Q P and R Q of P Q R are produced to point S and T respectively. If /_S P R=135^0 and /_P Q T=110^0, find /_P R Qdot

In triangle P Q R , if P Q=R Q\ a n d\ L ,\ M\ a n d\ N are the mid-points of the sides P Q ,\ Q R\ a n d\ R P respectively. Prove that L N=M N .

In Figure, If P Q=P T\ a n d\ /_T P S=/_Q P R , prove that \ P R S is isosceles

If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a n dc r are in G.P., then p/r+r/p is equal to a/c-c/a b. a/c+c/a c. b/q+q/b d. b/q-q/b