Question

The sum of the subtangent and subnormal to the curve at is

Hint:

### We are given the equations of x and y. We are also given the value of θ. We have to find the sum of length of subnormal and length of subtangent at given value of θ.

## The correct answer is:

### x = c[2cosθ - log(cosecθ + cotθ)

y = csin2θ

A tangent to the curve is given by the slope at the point. The slope is given by

let's differentiate x w.r.t θ.

We will differentiate y w.r.t θ

Now, let us denote slope by m

m = √3

y_{1 }=(y)_{θ=π/3} =

So, the answer is 2c

For such questions, we should know the formula of subtangent and subnormal

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For such questions, we should know the formulas of subnormal and subtangent.

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