#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.

Click to Chat

1800-1023-196

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# How to find equation of the locus of any point

## 1 Answers

11 years ago

Hi

In mathematics, a locus  is a collection of points which share a property. The term locus is usually used of a condition which defines a continuous figure or figures, that is, a curve. For example, in two-dimensional space a line is the locus of points equidistant from two fixed points or from two parallel lines.

There are different ways of defining locus.

i) When a point moves so as to always satisfy a given condition, or conditions, the path it traces out is called its locus under these conditions.

ii) If a point moves according to some given geometrical conditions, then the path traced out by the moving point is called its locus.

iii) The locus of a point is the path traced by it, when it moves under a given condition or conditions.

The locus or graph of a equation in two variables is the curve or straight line containing all the points, and only the points whose coordinates satisfy the equation.

The conic sections may be defined in terms of loci:

• A circle is the locus of points where the distance from a certain point is equidistant to all points on the locus and the distance between the certain point and the locus is called as the radius.
• An ellipse is the locus of points, the sum of the distances from which to the foci is a given value.
• A hyperbola is the locus of points, the difference of the distances from which to the foci is a given value.
• A parabola is the locus of points, the distances from which to the focus and to the directrix are equal.

## ASK QUESTION

Get your questions answered by the expert for free