## Coordinate Geometry Solutions for RS Aggarwal Class 10 Chapter 16 Free PDF Download

## FAQs on RS Aggarwal Class 10 Solutions - Coordinate Geometry

**1. Find if the points (5,-2),(6,4) and (7,-2) are the sides of an isosceles triangle.**

Ans: To find if the three points are the endpoints of an isosceles triangle. Let us find the length of each side of the triangle.

Let the points (5,-2),(6,4) and (7,-2) be the vertices of a triangle PQR.We will use the distance formula to determine the distance between the respective points

Length of PQ= Distance between the points (5,-2) and(6,4).

PQ = √((5-6)^{2}+(-2-4)^{2} )= √((-1)^{2}+(-6)^{2})

PQ = √(1+36) =√37

Length of QR= Distance between the points (6,4) and (7,-2).

QR = √((6-7)^{2}+(4-(-2)^{2} )= √((-1)^{2}+(-6)^{2})

QR = √(1+36) =√37

Length of PR = distance between the points (5,-2) and (7,-2).

PR = √((5-7)^{2}+(-2-2)^{2} )= √((-2)^{2}+(0)^{2})

PR = √4 = 2

The sides PQ and QR are of the same length. Therefore, the triangle PQR is an isosceles triangle.

**2. Find the equation of the line parallel 2x-y=4 and passing through the points(2,-1).**

The slope of a line parallel to another line is equal to its slope. So the slope of the line parallel to the line 2x-y=4 will be equal to its slope.

Converting into slope-intercept, y=mx+c form.

y = 2x-4

The slope of the line is 2.

m=2.

It passes through the points, (2,-1)

x_{1}=2

y_{2}=-1

To find the equation of the line, Put the values into the equation-

(y-y_{1})=m(x-x_{1})

( y - (-1)) = m(x-2)

y+1=2(x-2)

y+1 =2x -4

y - 2x=5, is the equation of the line passing through the points(2,-1) and parallel to the line 2x-y=4

**3. What are the applications of Coordinate Geometry mentioned in RS Aggarwal Class 10 Solutions - Coordinate Geometry?**

Coordinate Geometry helps one to understand the coordinates of a point of a curve. You can find questions based on application of Coordinate Geometry in RS Aggarwal Class 10 Solutions - Coordinate Geometry. Questions such as find the distance between two points, find the third coordinate of the triangle, find the area of the triangle and more more. Students should refer to Vedantu for more such study material and exams tips for their preparation and revision purpose. This will be very helpful and time saving.

**4. I am weak in Coordinate Geometry. How should I practice this chapter?**

Practice is the key to master Coordinate Geometry chapter from RS Aggarwal. The exercise is designed in such a way that students will encounter easy questions first. This will boost their confidence and then they will be given tougher questions. Hence, Vedantu recommends students to go through all the questions from the exercise and refer to the solutions given by Vedantu. The solutions are concise and easy to understand with a good explanation of every step carried out to reach the solutions.

**5. What are the important formulas for Coordinate Geometry mentioned in RS Aggarwal Class 10 Solutions - Coordinate Geometry?**

There are a few important formulae that students have to keep in mind while solving the questions based on Coordinate geometry. Distance between two points formula, midpoint formula and formula when a point divides a line in a certain ratio are very useful in this chapter. However, other simple and basic formulas such as area of triangle, Square and rectangle will also be helpful. Vedantu wishes students good luck for their exams and helps them in preparation and revision of all subjects.