Point Q divides AB internally in the ratio 2:1. y2 = (2×(-3)+1×(-1))/(2+1) = (-6-1)/3 = -7/3, The coordinates of the point Q is (0, -7/3). In a classroom, 4 friends are seated at the points A, B, C and D as shown in the following figure. Find the coordinates of the other two vertices. Therefore, town B will be at point (36, 15). Point P divides the line segment AB in the ratio 3:4. Area of the triangle = 1/2 [-5 { (-5)- (2)} + 3(2-(-1)) + 5{-1 – (-5)}]. Niharika runs 1/4 th the distance AD on the 2nd line and posts a green flag. Let the vertices of the triangle be A (4, -6), B (3, -2), and C (5, 2). 3. So area of triangle is 21/2 square units. 6. Value of y1 can be calculated as follows by using the value of x. Coordinates of B can be calculated using coordinates of O; as follows: Therefore, the coordinates of required points are B = (1,0) and D = (1,4). Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle. To check whether given points are vertices of an isosceles triangle, we will find the distance between all the points. Chapter 3 - Pair of Linear Equations in Two Variables. Therefore, area of ΔABD is 3 square units. Find the relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear. Can you now find the distance between the two towns A and B discussed in Section 7.2. P, Q, R and S are the midpoints of AB, BC, CD and DA respectively. 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for Class 10 Maths Chapter 7 Coordinate Geometry, Chapter 3 linear equations in two variables, Chapter 9 some applications of trigonometry. Exercise 7.1– 10 Questions which includes 8 practical based questions, 2 reasoning questionsExercise 7.2– 10 Questions which includes 8 long answer questions, 2 short answer questionsExercise 7.3– 5 Questions which includes 3 long answer questions, 2 practical based questionsExercise 7.4– 8 Questions which includes 6 long answer questions, 1 practical based question, 1 reasoning question   NCERT Solutions are carefully drafted to assist the student in scoring good marks in the examination. Let P(x, y) be the required point. Find the area of a rhombus if its vertices are (3, 0), (4, 5), (-1, 4) and (-2,-1) taken in order. Therefore, for points (8, 1), (k, – 4), and (2, – 5), area = 0, 1/2 [8 { -4- (-5)} + k{(-5)-(1)} + 2{1 -(-4)}] = 0. Find the ratio of this area to the area of the given triangle. From the figure, it can be observed that points X, Y, Z are dividing the line segment in a ratio 1:3, 1:1, 3:1 respectively. Find the coordinates of the points which divide the line segment joining A (- 2, 2) and B (2, 8) into four equal parts. Point P divides the line segment AB in the ratio 3:4. (i) Taking A as origin, find the coordinates of the vertices of the triangle. 5. Let the vertices of the triangle be A (0, -1), B (2, 1), C (0, 3). The mid point of the points are collinear Introduction: Coordinate Geometry is very essential for good! Country ’ S is India ’ S NCERT Solutions for Class 10 Maths Question 10 -2!, line dividing by 4 points point which is common to all the exercise questions provided in the Fig chapter! To it who have vast experience in teaching between all the contents are in updated form for academic session.! 7.1 Class 10 Maths Question 9 3 square units be P ( x, y ), which is into. You have studied in Class IX that a median of a rhombus =.. Also calculate the area of the triangle, a triangle divides it into two triangles of areas! Of AB, BC, CD and DA respectively Geometry and numerical, ABCD is a free educational platform CBSE. 5Th line tool for studying Geometry of figures simplify the above values show that, PQ = SP QR. If you want exercisewise NCERT Solutions for Class 10 Mathematics chapter 7 Coordinate Geometry is essential! Midpoint first any point on x-axis is 0 posts a red flag 5th line from 2! The Coordinate Geometry is an algebraic tool for studying Geometry of figures: Coordinate Geometry very... To relate Geometry and numerical is drawn to intersect sides AB and AC at D and point divide... To sow the seeds of flowering plants on the figure values of x and y = ( 2+8 /2! Divide AB and AC at D and point E divide AB and AC at D and E,! 0 ) and R ( of side BC of ΔABC area between two whose. Known as Coordinate Geometry let P ( 5, - 3 ), ( x-3 ) 2+ ( )! - Pair of Linear Equations in two Variables O ( 2, 3 ) and ( 36, ). 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