Questions
A curve having the condition that the slope of tangent at some point is two times the slope of the straight line joining the same point to the origin of coordinates is
detailed solution
Correct option is C
Since, slope of line joining to point P(x, y) and origin is y/xSlope of tangent at P is dydxIt is given that,dydx=2yx⇒dyy=2dxx⇒∫dyy=2∫dxx⇒logy=2logx+logC⇒y=x2Cwhich represents the equation of a parabola.Talk to our academic expert!
Similar Questions
The length of latus rectum of the conic passing through the origin and having the property that normal at each point (x, y) intersects the x-axis at is:
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