For any three sets. `P, Q and R, S` is an element of `(P Delta Q) Delta R`, then S may belong to

For any three sets P, Q and R, P-(QcapR) is

P Q R is a triangle is which P Q=P R\ a n d\ S is any point on the side P Q . Through S , a line is drawn parallel to Q R and intersecting P R\ at Tdot Prove that P S=P T

In a triangle P Q R , let /_P Q R=30o and the sides P Q and Q R have lengths 10sqrt(3) and 10, respectively. Then, which of the following statement(s) is (are) TRUE? /_Q P R=45o (b) The area of the triangle P Q R is 25sqrt(3) and /_Q R P=120o (c) The radius of the incircle of the triangle P Q R is 10sqrt(3)-15 (d) The area of the circumcircle of the triangle P Q R is 100 pi

P Q R is a triangle in which P Q=P R and S is any point on the side P Q . Through S , a line is drawn parallel to Q R and intersecting P R at Tdot Prove that P S=P Tdot

A straight line through the vertex P of a triangle P Q R intersects the side P Q at the point S and the circumcircle of the triangle P Q R at the point Tdot If S is not the center of the circumcircle, then 1/(P S)+1/(S T) 2/(sqrt(Q S x S R)) 1/(P S)+1/(S T) 4/(Q R)

Let U = the set of all triangles , P = the set of all isosceles triangles, Q - the set of all equilateral triangles , R = the set of all right angled triangles. What do the sets P uu Q represents ?

In P Q R , S is any point on the side Q R . Show that P Q+Q R+R P >2P S

Let p,q,r be the sides opposite to the angles P,Q, R respectively in a triangle PQR if r^(2)sin P sin Q= pq , then the triangle is