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.
The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has
- unique solution
- two solutions
- no solution
- infinite number of solutions
View Solution
2.
A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is
- $60^\circ$
- $45^\circ$
- $30^\circ$
- $90^\circ$
View Solution
3.
The following data shows the number of family members living in different bungalows of a locality:

Number of Members 0−2 2−4 4−6 6−8 8−10 Total
Number of Bungalows 10 p 60 q 5 120

If the median number of members is found to be 5, find the values of p and q.
View Solution
4.
Find the mean and mode of the following data:
Class 15--20 20--25 25--30 30--35 35--40 40--45
Frequency 12 10 15 11 7 5
View Solution
5.
The given figure shows a circle with centre O and radius 4 cm circumscribed by $\triangle ABC$. BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.
View Solution
6.
Given that $\sin \theta + \cos \theta = x$, prove that $\sin^4 \theta + \cos^4 \theta = \dfrac{2 - (x^2 - 1)^2}{2}$.
View Solution

Number of Members	0−2	2−4	4−6	6−8	8−10	Total
Number of Bungalows	10	p	60	q	5	120

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.
The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

2.
A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

3.
The following data shows the number of family members living in different bungalows of a locality:

Number of Members 0−2 2−4 4−6 6−8 8−10 Total
Number of Bungalows 10 p 60 q 5 120

If the median number of members is found to be 5, find the values of p and q.

4.
Find the mean and mode of the following data:
Class 15--20 20--25 25--30 30--35 35--40 40--45
Frequency 12 10 15 11 7 5

5.
The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.

6.
Given that $\sin \theta + \cos \theta = x$, prove that $\sin^4 \theta + \cos^4 \theta = \dfrac{2 - (x^2 - 1)^2}{2}$.

Similar Mathematics Concepts

Comments

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Class	15--20	20--25	25--30	30--35	35--40	40--45
Frequency	12	10	15	11	7	5

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.The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

2.A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

3.The following data shows the number of family members living in different bungalows of a locality: Number of Members0−22−44−66−88−10TotalNumber of Bungalows10p60q5120If the median number of members is found to be 5, find the values of p and q.

4.Find the mean and mode of the following data:Class15--2020--2525--3030--3535--4040--45Frequency1210151175

5.The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.

6.Given that $\sin \theta + \cos \theta = x$, prove that $\sin^4 \theta + \cos^4 \theta = \dfrac{2 - (x^2 - 1)^2}{2}$.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
The system of equations $2x + 1 = 0$ and $3y - 5 = 0$ has

2.
A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

3.
The following data shows the number of family members living in different bungalows of a locality:

Number of Members 0−2 2−4 4−6 6−8 8−10 Total
Number of Bungalows 10 p 60 q 5 120

If the median number of members is found to be 5, find the values of p and q.

4.
Find the mean and mode of the following data:
Class 15--20 20--25 25--30 30--35 35--40 40--45
Frequency 12 10 15 11 7 5

5.
The given figure shows a circle with centre O and radius 4 cm circumscribed by \(\triangle ABC\). BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.

6.
Given that $\sin \theta + \cos \theta = x$, prove that $\sin^4 \theta + \cos^4 \theta = \dfrac{2 - (x^2 - 1)^2}{2}$.