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### Question

#### At any point on a curve if the subtangent and subnormal are equal then at that point the length of the tangent is equal to

### Hint:

We are given that the length of the subtangent and subnormal of a curve are equal at point P. We have to find the length of tangent.

#### The correct answer is:

#### The given point where the subtangent and subnormal is equal is (x_{1}, y_{1}).

Subtangent is the projection of tangent on x-axis.

Subnormal is the projection of normal on x-axis.

The formula of subtangent is

The formula of subnormal is

The formula for length of tangent at point (x_{1}, y_{1})

Subtangent = Subnormal

This is the required answer.

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

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