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 AB-

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Standard X

Mathematics

Mid Point Formula

If A and B ar...

Question

If A and B are (− 2, − 2) and (2, − 4), respectively, find the coordinates of P such that and P lies on the line segment AB.

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Solution

The coordinates of point A and B are (−2, −2) and (2, −4) respectively.

Since ,

Therefore, AP: PB = 3:4

Point P divides the line segment AB in the ratio 3:4.

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Question 8
If A and B are (–2, –2) and (2, –4) respectively, find the coordinates of P such that $A P = \frac{3}{7} A B$ and P lies on the line segment AB.

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If A and B are (− 2, − 2) and (2, − 4), respectively, find the coordinates of P such that and P lies on the line segment AB.

The coordinates of point A and B are (−2, −2) and (2, −4) respectively. Since , Therefore, AP: PB = 3:4 Point P divides the line segment AB in the ratio 3:4.

The coordinates of point A and B are (−2, −2) and (2, −4) respectively.

Since ,

Therefore, AP: PB = 3:4

Point P divides the line segment AB in the ratio 3:4.