Please refer to Coordinate Geometry HOTs Class 10 Mathematics provided below with Coordinate Geometry. All HOTs for Class 10 Mathematics with answers provided below have been designed as per the latest syllabus and examination petter issued by CBSE, NCERT, KVS. Students of Standard 10 Mathematics should learn the solved HOTS for Class 10 Mathematics provided below to gain better marks in examinations.

**Coordinate Geometry Class 10 Mathematics HOTs**

**Question of 1 Marks**

**Question.****Find the area of ∆ABC where A (2,3), B (-2,1) and C (3,-2)**

## Answer

11sq. units

**Question.****Find the distance between the prints A(10 Cosθ) and B(0,10 Sinθ)**

## Answer

10

**Question.****Find the area of the triangle formed by the points O (0,0), A(a,0) and B(0,h).**

## Answer

ab/2

**Question.****Find the co-ordinates of the point which divides the line-segment joining the point (1,3) and (2,7) in the ratio 3:4**

## Answer

10/7, 33/7

**Question.****Find the co-ordinates of vertex B of the equilateral triangle OAB in the fig.**

## Answer

(4,-2)

**Question.****Find the distance of the point (3,-4) from y-axis** **If A(3,2) , B(-2,1) are two vertices of ∆ABC whose centroid G has the co-ordinates (5/3, 1/3). Find the co-ordinates of the third vertex C.**

## Answer

3 units

**Question.****AB is the diameter of a circle whose centre is (2,-3). If the co-ordinates of A.B are (1,4), then find the co-ordinates of A.**

## Answer

(3,-10)

**Question of 2 Marks**

**Question.****Find the point of trisection of the line-segment joining the points (-3,4) and (1,-2).**

## Answer

**Question.****Find the ratio in which the line-segment joining the points (-3,-4) and (1,-2) is divided by y-axis**

## Answer

3:1

**Question.****If the area of a triangle formed by (x, 2x), (-2, 6) and (3,1) is 5 square units, then find the value of x.**

## Answer

x = 2

**Question.****In the figure BOA is a right triangle and C is the midpoint of hypt AB. Show that it is equidistant from the vertices O,A and B**

## Answer

**Question.****If the centroid of the triangle formed by the points (a,b), (b,c) and (c,a) at the origin, then find the value of a ^{3} + b^{3} + c^{3}**

## Answer

3abc