# S.L. Loney Locus. Equation to A Locus Solutions (Chapter 3)

SL Loney Elements of Coordinate Geometry Solutions Chapter 3 deals with finding the equation to a locus. Using the process, you could easily sketch the loci when an equation is given. These SL Loney Solutions for Chapter 3 ‘Locus – Equation to a Locus’ is a detailed and step-by-step guide to all your queries. Also, the main benefit of these solutions is that you can prepare not only for your academic exams but also for the competitive exams like NEET, JEE Mains, and JEE Advanced.

Some of the main topics of Chapter 3 – Locus – Equation to a Locus include Parabola, equation to a straight line, equation to a curve, geometrical locus, and more. Practising this chapter will make you understand the concepts of the locus in detail. These solutions are the comprehensive solutions provided by Instasolv which covers the latest syllabus of NCERT and some additional concepts.

In the SL Loney Elements of Coordinate Geometry Solutions for Chapter 3 ‘Locus – Equation to a Locus’, there are a total of 1 exercise with 23 questions. The questions of this exercise are solved perfectly by the subject matter experts at Instasolv. The exercise consists of different types of questions including the short answer type, long answer type, and high order thinking questions. Solving the questions of this exercise will help you understand how clear your concepts are. You can follow the SL Loney Solutions provided by Instasolv for free.

**Important Topics for SL Loney Elements of Coordinate Geometry Solutions Chapter 3: Locus – Equation to A Locus**

There are several important concepts of SL Loney Elements of Coordinate Geometry Solutions for Chapter 3: Locus – Equation to A Locus. Those concepts are explained below:

**The Equation to a Curve**

The equation to a curve is defined as the relation which occurs between the coordinates of any point available on the curve and which embraces for no other points excluding those lying on the curve.

**How to Find the Equation to a Curve?**

- To find the equation to a curve, you need to follow the following steps:
- Write the equation in slope-intercept form i.e. y = mx + b
- In this equation, b represents the y-intercept
- The x-intercept refers to a point existing on the line (x,0).
- Substitute this point into the slope-intercept equation and then solve for ‘m’ to find the slope.

**Parabola**

In coordinate geometry, a parabola refers to a plane curve which is mirror-symmetrical and is just about U-shaped. It outbursts various other superficially diverse mathematical descriptions, which can all be verified to describe exactly the similar curves. One description of a parabola includes a point and a line.

To find the standard equation of a Parabola, let the vertex be (h, k) and p refers to the distance between the vertex and the focus and p ≠ 0.

**Locus**

In geometry, a locus is defined as a set of all points, whose position fulfils or is calculated by one or more definite conditions. In other words, locus refers to the set of the points that fulfil some property is frequently called the locus of a point sustaining this property.

**The Equation to a Locus**

The equation to a locus refers to the equation which defines the relation between the coordinates of the loci to its moving point. Let P (x, y) be any location of the moving point on its locus. Then, the distance of P from the x-axis is defined as y and its distance from the y-axis is defined as x. For example, 3y – 4x = 7, which is the requisite equation to the locus of the moving point.

**The Equation to a Curve**

An equation that states the relationship between the coordinates of every point in the curve.

**Cartesian coordinate system**

A Cartesian coordinate system refers to a coordinate system that identifies each point exclusively in a plane by a set of algebraic coordinates, which are the retained distances to the point from two static perpendicular oriented lines, calculated in the similar unit of length.

In coordinate geometry, the X-axis and Y-axis are perpendicular to each other and further these axes divide the coordinate plane into four quadrants. This X-axis and Y-axis are together known as coordinate axes. Generally, both the axes meet at the origin. They are commonly represented by the x-axis, y-axis, and z-axis.

**Exercise-wise Discussion for SL Loney Elements of Coordinate Geometry Solutions Chapter 3: Locus – Equation to A Locus**

- The SL Loney Coordinate Geometry Solutions for Chapter 3 ‘Locus – Equation to a Locus’ consists of one main exercise with a total of 23 questions.
- These are short answer type and high order thinking questions based on the important topics of the chapter.
- These questions are considered important if you are preparing for competitive exams like JEE and NEET.
- In these questions, you need to sketch the loci of the equation given.
- There are also some questions available in which you need to obtain the equations provided by locus.
- We offer step-by-step solutions for the questions provided in the MS Chauhan textbook as per guidelines released by CBSE and the latest syllabus of CBSE.

## Why Use SL Loney Elements of Coordinate Geometry Solutions Chapter 3: Locus – Equation to A Locus by Instasolv?

The benefits of SL Loney Elements of Coordinate Geometry Solutions are provided below. Just have a look!

- SL Loney Solutions for Chapter 3 ‘Locus – Equation to a Locus’ contains all the solutions to the maths problems provided in the textbook of SL Loney.
- These solutions are the comprehensive solutions provided by Instasolv which covers the latest syllabus of NCERT.
- These solutions have been prepared by the team of expert teachers.
- The SL Loney Locus – Equation to a Locus Solutions helps you revise the complete chapter in minutes.
- SL Loney Elements of Coordinate Geometry Solutions are available to you on our web page for free.
- Referring to these solutions you can easily prepare for your CBSE as well as entrance exams like IIT JEE and NEET.