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A line intersects the Y- axis and X-axis...

A line intersects the Y- axis and X-axis at the points P and Q, respectively. If (2,-5) is the mid- point of PQ, then the coordinates of P and Q are, respectively.

Text Solution

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We know that at Y-axis, x-coordinate is zero and at X-axis, y-coordinate is zero.
So, let `" "P = (O,y)`
and `" " Q=(x,O)`
Since M (2,- 5) is the mid-point formula,
`(0+x)/(2)=2,(y+0)/(2)=-5`
`implies" "x=4," "y=-10`
`therefore" "P-=(0,-10)andQ-=(4,0)`
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