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Algebra

If a normal chord of y^2=4ax subtends an right angle at the vertex of the parabola, then it's slope is equal to?
A) +-1
B) +-root2
C) +-2
D) None

Profile image of FansAsFriends for'evr
7 Years agoGrade
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1 Answer

Profile image of kkbisht
7 Years ago
the answer is ± \sqrt{}2
explanation:  Let the normal chord at A( at2,2at) meet the parabola at the point B(at21,2at1) and since \angle AOB=\pi/2
therefore tt1=-4 and also the condition for t1= -t -2/t
therefore we have  -4/t =-t -2/t ( using tt1=-4 ) => 2/t=t => t2=2 => t= +-\sqrt{}2
 
kkbisht

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