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Let C be the set of curves having the pr...

Let C be the set of curves having the property that the point of intersection of tangent with y-axis is equidistant from the point of tangency and origin (0,0)
If `C_(3) in C`
`C_(3):` is passing through (2,4). If `(x)/(a)+(y)/(b)=1.` is tangent to `C_(3)`, then

A

`25a+10b^(2)-ab^(2)=0`

B

`25a+10b-13ab=0`

C

`13a+25b-16ab=0`

D

`29a+b-13ab=0`

Text Solution

Verified by Experts

The correct Answer is:
A
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