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Chanchal Kumar Grade: 11
        

The point A divides the join of P(-5,1) and Q(3,5) in the ratio K:1. Find the two values of k for which the area of triangle ABC, where B is (1,5) and C is (7,-2), is equal to 2 units.

6 years ago

Answers : (1)

AJIT AskiitiansExpert-IITD
68 Points
										

Dear chanchal ,


let the co-ordinates of  A be (x ,y). then x =  3k-5/k+1  ,  y =5k+1/k+1 


now use the determinant formulae for calculating the area of triangle ,


we get ,


|14k-66/k+1| = 4


taking +4 and -4 separately ,


14k-66 =4k+4  gives k =7  and 14k-66 = -4k-4 gives , k= 31/9


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6 years ago
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