Question

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If A and B are (-2,-2) and (2,-4)respectively .Find the coordinates of P such that AP=3/7 AB and P lies on the line segment.
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Answer 1

$\huge\fcolorbox{cyan}{black}{Answer}$

Given:-

❑ Here the coordinates of A and B are (-2,-2) and (2,-4) respectively.

❑ Since AP = 3/7 AB

To find:-

❑ Coordinate of P.

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▸▸ Here AP : PB = 3 : 4 ( As it is given that AP is 3/7 so PB = 4/7 because AP + BP = 3/7 + 4/7 = 1)

✔ So here point P divides the line segment AB in the ratio of 3:4

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❥ Now lets find the coordinates of P.

$☆ Section \: formula = ( \frac{m_1x_2 + m_2x_1}{m_1 + m_2} )(\frac{m_1y_2 + m_2y_1}{m_1 + m_2} )$

➭ Here m1 is 3 and m2 is 4. x1 is -2 , x2 is 4 and y1 is -2 , y2 is -4

➭ Let us put this in formula

$➦ \large( \frac{3 \times 2 + 4 \times ( - 2)}{3 + 4} ) ,( \frac{3 \times ( - 4) + 4 \times ( - 2)}{3 + 4} )$

$➦ \large( \frac{6 - 8}{7} ) ,( \frac{ - 12 - 8}{7} )$

$➦ \large( \frac{ - 2}{7} ) ,( \frac{ - 20}{7} )$

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➻So the coordinates of P are -2/7 and -20/7.

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➦What is section formula.

➳ The coordinates of point P(x , y) which divides the line segment joining the points A (x1 , y1) and B (x2 , y2) internally in the ratio m1 : m2 is called section formula.

Answer 2

Answer:

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