Question
For the curve y2 = (x + a)3 the square of the sub tangent varies as
- x
- y
- subnormal
- xy
Hint:
We are given a equation of curve. We have to tell with which option square of the subtangent varies. We will use the concepts of subnormal and subtangent to find the solution.
The correct answer is: subnormal
We will use the concept of subtangent and subnormal to solve the question.
Subnormal is the projection of normal on x-axis when it intercepts x-axis.
Subtangent is the projection of tangent on x-axis when it intercepts x-axis.
If y is any curve, the formula of length of subtangent and subnormal is as follows:
The given curve is
y2 = (x + a)3
Subnormal = 
(x + a)2
Now, we will find the length of subtangent
So, we can see the square of the subtangent varies with subnormal.
For such questions, we should know the concept of subnormal and subtangent.
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