Questions
A curve y=f(x) has the property that if the tangent drawn at any point p(x,y) on the curve meets the co-ordinate axes at A and B, then P is the midpoint of AB. If y(1)=1 then y(2)
a
1
b
2
c
12
d
-2
detailed solution
Correct option is C
Equation tangent at P is y-y=m(x-x)----(1) It meets x -axes at Ax−yy1,0B0,y−xy1P -is the midpoint of AB¯⇒x−yy1=2x⇒ydx+xdy=0⇒xy=c2 If x=y=1⇒xy=1 If x=2→y=1/2Talk 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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