In the given figure sides QP and RQ of ΔPQR are produced to points S and T respectively. If `angleSPR = 135^(@)` and `anglePQT = 110^(@)`, find `anglePRQ.`

In the adjacent figure the sides AB and AC of Delta ABC are produced to points E and D respectively. If bisectors BO and CO of angleCBE and angleBCD respectively meet at point O, then prove that angleBOC = 90^(@)-(1)/(2) angleBAC .

In the given figure if line segments PQ and RS intersect at point T, such that anglePRT = 40^(@), angleRPT = 95^(@) and angleTSQ = 75^(@) , find angleSQT

In the given figure triangle ABC side AC has been produced to D. angleBCD = 125^(@) and angleA:angleB= 2 : 3 , find the measure of angleA and angleB

It is given that angleXYZ= 64^(@) and XY is produced to point P. A ray YQ bisects angleZYP . Draw a figure from the given information. Find angleXYQ and reflex angleQYP .

In the given figure DeltaABC is equilateral on side AB produced. We choose a point such that A lies between P and B. We now denote 'a' as the length of sides of DeltaABC , r_1 as the radius of incircle DeltaPAC and r_2 as the ex-radius of DeltaPBC with respect to side BC. Then r_1 + r_2 is equal to

The velocity of a particle moving in a straight path is given by v=16t-4t^(2) where v and t measured in ft/s and second units respectively. If the initial displacement be 10 ft, find the displacement of the particle in t seconds.

Three points P,Q ,R lie on a circle. The two perpendiculars PQ and PR and the point P intersect the circle at the points S and T respectively. Prove that RQ=ST

In equilateral triangle ABC with interior point D, if the perpendicular distances from D to the sides of 4,5, and 6, respectively, are given, then find the area of triangleA B Cdot

Find the value of lambda so that the points P ,Q ,R and S on the sides O A ,O B ,OC and A B , respectively, of a regular tetrahedron O A B C are coplanar. It is given that (O P)/(O A)=1/3,(O Q)/(O B)=1/2,(O R)/(O C)=1/3 and (O S)/(A B)=lambdadot (A) lambda=1/2 (B) lambda=-1 (C) lambda=0 (D) for no value of lambda