Questions
A curve having the condition that the slope of the tangent at some point is two times the slope of the straight lines joining the same point to the origin of co-ordination is a/an
a
circle
b
ellipse
c
parabola
d
hyperbola
detailed solution
Correct option is C
Let p(x,y) be any point on the curve, then dydx=2yx→∫dyy=2∫dxx⇒logy=logcx2→y=cx2 is a parabola.Talk to our academic expert!
Similar Questions
The equation of the family of curves which intersect the hyperbola xy=2 orthogonally is
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