Question

Line segment joining A(5,a) and B(2,-3) is divided in the ratio 2:1 by a point
P on the x-axis.​

Answer 1

SOLUTION

GIVEN

Line segment joining A(5,a) and B(2,-3) is divided in the ratio 2:1 by a point P on the x-axis.

TO DETERMINE

The value of a

EVALUATION

Here it is given that the line segment joining A(5,a) and B(2,-3) is divided in the ratio 2 : 1 by a point P on the x-axis.

So ordinate of P = 0

$\displaystyle \implies \sf{ \frac{ - 3 \times 2 + a \times 1}{2 + 1} =0 }$

$\displaystyle \implies \sf{ \frac{ a - 6}{3} =0 }$

$\displaystyle \implies \sf{ a - 6 =0 }$

$\displaystyle \implies \sf{ a = 6 }$

Hence the required value of a = 6

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