If the portion of a straight line intercepted between the coordinate axes is divided by the point ( 2 , 3 ) in the ratio 2 : 3 then the product of the intercepts made by this line on the axes is

Question

If the portion of a straight line intercepted between the coordinate axes is divided by the point ( 2 , 3 ) in the ratio 2 : 3 then the product of the intercepts made by this line on the axes is, 25, 29 6, 50, 31 3

MARKS App · Accepted Answer

x -coordinate of P ⇒ 2 = 2 . 0 + 3 . a 2 + 3 ⇒ a = 10 3 y -coordinate of P ⇒ 3 = 2 . b + 3 . 0 2 + 3 ⇒ b = 15 2 So, a b = 10 3 15 2 = 25

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