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The equation of the sides AB,BC,CA of a triangle ABC are 2x+y=0, x+py=q , x-y=3 respectively. The point P is (2,3) Find 1) If P is the centroid, then find p+q 2) If P is the orthocentre, the find p+q 3) If P is the circumcentre, then find p+q

The equation of the sides AB,BC,CA of a triangle ABC are 2x+y=0, x+py=q , x-y=3 respectively.
The point P is (2,3)
Find
1) If P is the centroid, then find p+q
2) If P is the orthocentre, the find p+q
3) If P is the circumcentre, then find p+q

Grade:11

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4407 Points
4 years ago
if p is centroid find point of intersection of lines
A(1,-2) B(q/1-2p,-2q/1-2p) C(q-3/1+p,q-6-3p/1+p)
now put x1+x2+x3/3=2
and y1+y2+y3=3 to get p and q

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