NCERT Solutions for class 10 Maths chapter 7: Coordinate Geometry

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The NCERT solutions for class 10 maths chapter 7 Coordinate Geometry are provided in the article to help students prepare for their class 10 maths board exam. Coordinate Geometry is a branch of geometry that helps in determining the position of points in a plane with the help of ordered pair of numbers called coordinates.

Chapter 7 Coordinate Geometry is a part of Unit 3 Coordinate Geometry as per the class 10 syllabus 2022-23. This chapter carries a weightage of 06 marks in cbse class 10 maths board exam. The important topics from this chapter includes distance formula, section formula and area of a triangle.

Download: NCERT Solutions for Class 10 Maths Chapter 7 pdf

NCERT Solutions for Class 10 Maths Chapter 7

Class 10 Maths Chapter 7 Coordinate Geometry: Important Topics

The important topics of chapter 7 coodinate geometry are given below:

Distance Formula – In coordinate geometry, distance formula is used to find the distance between two points in a coordinate plane. It is derived with the help of Pythagoras theorem.

Distance formula, for two points say P and Q with coordinates (x₁,y₁) and (x₂,y₂) respectively, is given by;

$PQ = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Section Formula – Section formula is used to find the coordinates of the point that divides a line segment into two ratios.

Section formula, for a point P dividing a line segment AB with A (x₁,y₁) and B (x₂,y₂) in the ratio m₁:m₂ , is given by;

$P(x,y) = (\frac{m_1x_2 + m_2x_1}{m_1 + m_2} , \frac{m_1y_2 + m_2y_1}{m_1 + m_2})$

Area of a Triangle – Area of a Triangle can be calculated when coordinates of the vertices of the triangle are given.

The formula for calculating area of a triangle ABC with vertices A (x₁,y₁), B (x₂,y₂) and C (x₃,y₃) is given by;

$Area = \frac{1}{2} [x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2)]$

NCERT Solutions for Class 10 Maths Chapter 7 Exercises:

The NCERTsolutions of all the exercises of class 10 maths chapter 7 Coordinate Geometry are given below:

Read Also:

Two-Dimensional Coordinate Geometry	Coordinate Geometry MCQs	Coordinate Geometry Important Questions
Quadrant	Centroid	Ordinate
Triangles	Polar Coordinates	Geometry Formula

Study Materials for Class 10 Maths:

Algebra	Mensuration Formula	Number System
Geometry	Important Formulas in Maths	Class 10 Maths Notes

CBSE X Related Questions

1.
In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.
View Solution
2.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
View Solution
3.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.
View Solution
4.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals
- $x^2 + 5x - 4$
- $(x + 3) (-x + 8)$
- $a(x^2 + 5x - 24)$
- $x^2 - 24$
View Solution
5.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is
- $1$
- $-5$
- $25$
- $\sqrt{5}$
View Solution
6.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.
View Solution

View All

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NCERT Solutions for class 10 Maths chapter 7: Coordinate Geometry

NCERT Solutions for Class 10 Maths Chapter 7

Class 10 Maths Chapter 7 Coordinate Geometry: Important Topics

NCERT Solutions for Class 10 Maths Chapter 7 Exercises:

CBSE X Related Questions

1.
In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.

2.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

3.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

4.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

5.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

6.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

Similar Mathematics Concepts

Comments

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NCERT Solutions for class 10 Maths chapter 7: Coordinate Geometry

NCERT Solutions for Class 10 Maths Chapter 7

Class 10 Maths Chapter 7 Coordinate Geometry: Important Topics

NCERT Solutions for Class 10 Maths Chapter 7 Exercises:

CBSE X Related Questions

1.In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.

2.The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

3.Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

4.If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

5.The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

6.A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
In the given figure, $AB \parallel DE$ and $AC \parallel DF$. Show that $\Delta ABC \sim \Delta DEF$. If $BC = 10\text{ cm}$, $EB = CF = 5\text{ cm}$ and $AB = 7\text{ cm}$, then find the length $DE$.

2.
The dimensions of a window are $156\text{ cm} \times 216\text{ cm}$. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.

3.
Two water taps together can fill a tank in $8\frac{8}{9}$ hours. The tap of larger diameter takes 4 hours less than the smaller one to fill the tank separately. Find the time in which each tap can separately fill the tank.

4.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

5.
The value of p for which roots of the quadratic equation $x^2 - px + 6 = 0$ are rational, is

6.
A chord of a circle, of radius 14 cm, subtends an angle of $60^\circ$ at the centre. Find the area of the smaller sector and perimeter of the smaller segment.