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Find the image of point P(3,-1) in the p...

Find the image of point P(3,-1) in the point A (-5, 2).

Text Solution

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Let `P'(alpha, beta)` be the image of point P.
Now, A is the mid-point of PP'.
Therefore, `" "(-5,2)=((3+alpha)/(2),(-1+beta)/(2))`
`rArr" "-5=(3+alpha)/(2)rArr" "3+alpha=-10 rArr" "alpha=-13`
and `" "2=(-1+beta)/(2)rArr" "-1+beta=4 rArr" "beta=5`
`therefore` Co-ordinates of required point =(-13, 5)
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