Questions
The points on the curve where normal to the curve makes equal intercepts with the axes is /are
a
(4/9,±8/27)
b
(3,±33)
c
(1,±1)
d
None of these
detailed solution
Correct option is A
Let foot of normal be (x1,y1) . Theny12=x13 …....(i) Normal makes equal intercepts on axes⇒ −dxdy=±1 ⇒ dxdy=±1 ⇒ 3x22y|(x1,y1)=±1 ⇒9x144y12=1 ⇒x1=4/9, y1=±8/27 Hence; required points are (4/9,±8/27) .Talk to our academic expert!
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