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
y1 =(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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