Q19 of 184 Page 10

The coordinates of A, B, C, D are (6, 3), (-3, 5), (4, -2) and (x, 3x) respectively. If , find x.

Given A, B, C, and D are (6, 3), (-3, 5), (4, -2) and (x, 3x) respectively.


and ∆DBC = 2∆ABC


To find: Find x.


Since Area of triangle


Now, The area of ∆DBC




= 11x – 7 sq units


Now, The area of ∆DBC





According to question, ∆DBC = 2∆ABC



⇒ 49 = 4(11x – 7)


⇒ 49 = 44x – 28


⇒ 44x = 77



Hence,


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