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Which of the following is an equation of a curve that intersects at right angles every curve of the family y=(1/x)+k (where k takes all real values)?

Ay=-x
By=-x^2
Cy=(-1/3)x^3
Dy= (1/3)x^3
Ey=lnx

Verified Answer :

syed514

If you set the equations equal to each other, you can find common points.

So, it should be d.y= (1/3)x^3

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