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Find the points on the X-axis which are at distance of `2sqrt(5)` from the point (7,-4) . How many such points are there ? |
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Answer» Let P (x,0) be the required point on X-axis. Let A be the point (7,-4) Given that, `" "PA=2sqrt5` `implies" "PA^(2)=20` `implies" "(x-7)^(2)+(0+4)=20` `implies" "(x-7)^(2)=20-16=4` `implies" "x-7=+-2` `implies" "x=9or x=5` `therefore` There are two such points. and points are `(9,0) and(5,0).` |
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