In `DeltaPQR, `/_P= 60^@, `/_R =30^@` find whether the vertex Q on the circle with PR as diameter

In DeltaABC , /_ A= 60^@ , /_B= 70^@ . Find whether the vertex C is inside or outside the circle with AB as diameter.

A(-2,3) , B(6,9)' be two points a) Find the coordinates of the centre of the circle with diameter 'AB'. Compute the diameter. b) If 'C' and 'D' are '(-3,5)' and '(5,-1)'. Justify whether 'CD' is a diameter? c) If 'P' and 'Q' are '(5,10)' and '(-1,2)'. Justify whether 'PQ' is a diameter?

In triangle ABC, /_ A=30^circ, /_ B=60^circ . If we draw a circle with A B as diameter, say whether it passes through C? Why?

The inverse of the proposition (p wedge ~q) r is

The vertices of Delta PQR are P (2, 1),Q (-2,3) and R (4,5).find the equation of the median through the vertex R.

PQRS is cyclic, /_P = 3x , /_Q= y , /_R = x , /_S = 5y . Find the angles Draw circle mark P, Q,R,S on it, complete PQRS. Enter the given angles What is 3x+x ? Find x. what is y+5y ? Find y. Find the angles

In the parallelogram PQRS, P(-3,2) Q(2,7), S(1, 9) are three vertices. Find the length of the diagonal PR.