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.
Aarush bought 2 pencils and 3 chocolates for Rs 11 and Tanish bought 1 pencil and 2 chocolates for Rs 7 from the same shop. Represent this situation in the form of a pair of linear equations. Find the price of 1 pencil and 1 chocolate, graphically.
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2.
The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :
- 0
- 1
- 3
- 2
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3.
Through the mid-point Q of side CD of a parallelogram ABCD, the line AR is drawn which intersects BD at P and produced BC at R. Prove that \(AQ = QR\).
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4.
Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).
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5.
Which of the following sequence is \(\textit{not }\)an A.P. ?
- \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
- \( -1.2, -3.2, -5.2, -7.2, \dots \)
- \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
- \( 1^2, 3^2, 5^2, 7^2, \dots \)
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6.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
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