In triangle `DeltaPQR`, the atitudes from `P,Q and R` measure `5, 4 and 4`, respectively. The value of `sqrt(21(QR)^2)` is

In a triangle PQR,the equations of PQ and PR are 5x-y+4=0 and 3x+4y-4=0 respectively.If the median through P cuts QR at (1,5), then theequation of the side QR is

In a triangle PQR . the co-ordinate of the point P and Q are (-2,4) and (4,-2) respectively . If the equation of the perpendicular bisector PR is 2x-y+2=0 , then centre of the circumcircle of the DeltaPQR is

In a non right angled triangle DeltaPQR , let p,q,r denote the lengths of the sides opposite to the angle P,Q,R respectively. The median from R meets the side PQ at S, the perpendicular from P meets the side QR at E, and RS and PE intersect at O. if p=sqrt(3),q=1 and the radius of the circumcircle of the DeltaPQR equals to 1, then which of the followign options is/are correct?

The coordinates of points P, Q, R and S are (-3, 5), (4, -2), (p, 3p) and (6, 3) respectively, and the ares of DeltaPQR and DeltaQRS are in ratio 2:3. Find p .

The coordinates of points P, Q, R and S are (-3, 5), (4, -2), (p, 3p) and (6, 3) respectively, and the ares of DeltaPQR and DeltaQRS are in ratio 2:3. Find p .

If the mid-points P, Q and R of the sides of the Delta ABC are (3, 3), (3, 4) and (2,4) respectively, then Delta ABC is