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Q.

Let the area of a ∆PQR with vertices P(5, 4), Q(–2, 4) and R(a, b) be 35 square units. If its orthocenter and centroid are O2,145 and C(c, d) respectively, then c + 2d is equal to

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a

2

b

7/3

c

8/3

d

3

answer is B.

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Detailed Solution

Question Image

Equation of lines QR = 5x + 2y + 2 = 0
Equation of lines PR = 10x –3y – 38 = 0
∴ Point R (2, –6)
Centroid =5−2+23,4+4−63=53,23c+2d=53+43=3

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