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Find the locus of the point of intersect...

Find the locus of the point of intersection of the perpendicular tangents of the curve `y^2+4y-6x-2=0` .

Text Solution

Verified by Experts

The correct Answer is:
2x+5=0
We know that perpendicular tangents meet at the directrix.
The given parabola is `y^(2)+4y-4x-2=0`
`or" "(y+2)^(2)=6(x+1)`
The equation of directrix is
`x+1=-(6)/(4)orx=-(5)/(2)`
`or" "2x+5=0`
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