Maths-

General

Easy

Question

# The length of the normal to the curve at any point varies as

- Ordinate
- Abscissa
- Square of the abscissa
- Square of the ordinate

Hint:

### We are given a curve. We have to tell how the length of the normal varies. We will use the formula of length to normal to find the answer.

## The correct answer is: Square of the ordinate

### The given curve is

Ordinate means the y-axis

And abscissa means x-axis

The formula of length of the normal at point (x,y) is given by

Here, m =

Now, we will find the value of

We will substitute this value in the formula of length.

Length is proportional to y_{1}^{2} as "a" is constant.

We can see the length of the normal depends on the square of y. It means the length of normal varies square of ordinate.

For such questions, we should know the formula of length of normal.

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