Let P be an interior point of a triangle ABC , Let Q and R be the reflections of P in AB and AC , respectively if Q .A , R are collinear then `angle A ` equals -

Let P be an interior point of a triangle ABC. Let Q andR be the reflections of P in AB and AC, respectively.If Q,A,R are collinear then ZA equalsB.60^(@)D.120^(@)30^(@)90^(@)

If points Q and R reflections of point P(-3,\ 4) in X and Y axes respectively, what is Q R ?

In a triangle A B C , let P and Q be points on AB and AC respectively such that P Q || B C . Prove that the median A D bisects P Q .

In a ? ABCD , AB | | DC. P and Q are the mid-points of AB and DC respectively AC, BD meet at O.Show that P , O , Q are collinear.

In the given triangle P, Q and R are the mid points of sides AB, BC and AC respectively. Prove that triangle PQR is similar to triangle ABC.

In a right triangle ABC right-angled at B, if P and Q are points on the side AB and AC respectively, then___

Let P be a point inside a triangle ABC with /_ABC=90^(@) . Let P_(1) and P_(2) be the images of P under reflection in AB and BC respectively. The distance between the circumcenters of triangles ABC and P_(1) P_(2) is

In a Delta ABC , let P and Q be points on AB and AC respectively such that PQ || BC . Prove that the median AD bisects PQ.

The sides AB,BC and AC of a triangle ABC touch a circle with centre O and radius r at P Q,and R respectively.

If P, Q and R are interior angle of a trianglePQR , then tan((P+Q)/2) equals