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```        The parabolas y2=4ax and x2=4by intersect orthogonally at point P(x1,y1) where x1,y1 is not equal to 0 then find the relation between a and b.
(A)b=a2
(B)b=a3
(C)b3=a2
(D)None of these
```
7 years ago

147 Points
```										Dear Jayati
y2=4ax
x2=4by
solve the curve for point of intersection
x1 =4(ab2)1/3
y1 =4(ba2)1/3
now slope of tangent at these points are
slope on curve y2=4ax , m1 =2a/y1
slope  on curve x2=4by , m2 =x1/2b
m1 * m2 =-1
ax1/by1 =-1
a4(ab2)1/3/b4(ba2)1/3=-1
a2 +b2 =0
which is not possible
so option d is correct
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed  solution very  quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation. All the best. Regards,Askiitians ExpertsBadiuddin
```
7 years ago
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