NCERT solutions for class 10 Maths chapter 7 exercise 7.4, 7.3, 7.2 and 7.1 of coordinate geometry in Hindi and English medium PDF form to free download. NCERT solutions for all subject of class 10 * click here*. Information, question answers and other helping contents are given below to read online. There is overall summery about

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## NCERT solutions for class 10 Maths chapter 7

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### Class 10 Maths Solutions – Coordinate Geometry

#### English Medium

**Exercise 7.1****Exercise 7.2****Exercise 7.3****Exercise 7.4****NCERT Book in Hindi & English Medium**- Hindi Medium solutions will be uploaded in June, 2017.

#### Previous Years Questions

##### One mark questions

- If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k? [CBSE 2017]

##### Three marks questions

- The area of a triangle is 5 sq units. Two of its vertices are (2, 1) and (3, -2). If the third vertex is (7/2, y), find the value of y. [CBSE 2017]
- Show that triangle ABC, where A(-2, 0), B(2, 0), C(0, 2) and triangle PQR where (-4, 0), Q(4, 0), R(0, 4) are similar triangles. [CBSE 2017]

##### Four marks questions

- If a≠b≠0, prove that the points (a, a^2), (b, b^2), (0, 0) will not be collinear. [CBSE 2017]

In class 9, we have studies that the distance of a point from the y-axis is called its x-coordinate, or abscissa (**abscissa** is a Latin word which means cut off) and the distance of a point from the x-axis is called its y-coordinate, or ordinate (ordinate is a Latin word which means keep it in order). Abscissa and ordinate collectively forms coordinate of a point in Cartesian system. The coordinates of a point on the x-axis are of the form (x, 0), and of a point on the y-axis are of the form (0, y). For more question on coordinate geometry, go through NCERT exemplar problems for **class 10 Maths**.

#### Objectives of Coordinate Geometry

To find the distance between two different points whose co-ordinates are given and finding the co-ordinates of a point, which divides the line segment joining two points in a given ratio internally. To find the co-ordinates of the mid-point of the join of two points to get the co-ordinates of the centroid of a triangle with given vertices.

#### Important Results in Coordinate Geometry

- The co-ordinates of the origin are (0, 0)
- The y co-ordinate of every point on the x-axis is 0 and the x co-ordinate of every point on the y-axis is 0.
- The two axes XOX’ and YOY’ divide the plane into four parts called quadrants.
- The distance of the line segment joining two points (x1, y1) and (x2, y2) is given by:

- The co-ordinates of a point, which divides the line segment joining two points (x1, y1) and (x2, y2) in a ratio m : n internally are given by:

- The co-ordinates of the mid-point of the line segment joining two points (x1, y1) and (x2, y2) are given by:

- The co-ordinates of the centroid of a triangle whose vertices are (x1, y1), (x2, y2) and (x3, y3) are given by:

- If ABC be any triangle whose vertices are A(x1, y1), B(x2, y2) and C(x3, y3), then area of triangle is given by:

**Historical Facts!**

**Rene Descartes** (1596 – 1650) was a French philosopher, mathematician whose work ‘La geometrie’ includes his application of algebra to geometry from which we now have Cartesian geometry.