Question

If the relation between subnormal 'SN' and subtangent 'ST' at any point on the curve by is then

Hint:

### We are given a curve. We are given the relation between the subtangent and the subnormal. We have to find the ratio of the variables p and q. We will first find the values of subtangent and subnormal using the formulae. Then we will find the ratio.

## The correct answer is:

### The given curve is .

The relation between subtangent "ST" and subnormal is "SN" is p(SN) = q(ST)^{2}.

We have to find the ratio of .

Subtangent: It is the projection of tangent on x-axis from the x intercept to point of tangency.

Subnormal: It is the projection of normal on x-axis from the x intercept to point of tangency.

The formula of subtangent is ST=

The formula of subnormal is SN =

we will differentiate the curve w.r.t x

Now, p(SN) = q(ST)^{2}

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

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