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Two men A and B start with velocities v ...

Two men A and B start with velocities v at the same time from the junction of two roads inclined at `45^@` to each other.If they travel by different roads,find the rate at which they are being separated.

Text Solution

Verified by Experts

With the given details, we can create a right angle triangle.
Please refer to video for the figure.
From the figure,
`(OP)/(OQ) = tan45^@ = 1`
`:. OP = OQ`
Let `OP = OQ = k`
Then, `PQ = sqrt(k^2+k^2) = ksqrt2`
Now, in right angle triangle `OPQ`,
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