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Standard XI

Mathematics

Section Formula

If coordinate...

Question

If coordinates of the points A and B are (2, 4) and (4, 2) respectively and point M is such that A-M-B also AB =

3 AM, then the coordinates of M are

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Solution

The correct option is A

Since AB = 3 AM

$\Rightarrow$ AM + MB = 3 AM $\Rightarrow$ MB = 2AM

Hence ratio AM : MB = 1 : 2.

Therefore the point M $(\frac{8}{3}, \frac{10}{3})$ .

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If coordinates of the points A and B are (2, 4) and (4, 2) respectively and point M is such that A-M-B also AB = 3 AM, then the coordinates of M are

The correct option is A Since AB = 3 AM ⇒ AM + MB = 3 AM ⇒ MB = 2AM Hence ratio AM : MB = 1 : 2. Therefore the point M(83,103).

If coordinates of the points A and B are (2, 4) and (4, 2) respectively and point M is such that A-M-B also AB =

3 AM, then the coordinates of M are

The correct option is A

Since AB = 3 AM

$\Rightarrow$ AM + MB = 3 AM $\Rightarrow$ MB = 2AM

Hence ratio AM : MB = 1 : 2.

Therefore the point M $(\frac{8}{3}, \frac{10}{3})$ .