Maths-
General
Easy
Question
A tangent to the curve, Y=f(x) at P(x, Y) meets X‐axis at A and Y‐axis at B If AP:BP=1: 3 and f(1)=1, then the curve also passes through the point
The correct answer is:
We have
When 
Therefore, point A is 
,
When 
Therefore, point 
is 
.
Point 
divides AB in the rratio 1: 3.
Therefore,
Now,
On integrating, we get
In 
When we substitute the values from the given options, only option (C) ssatisfies the above equation.
Hence, the correct answer is option (c).
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