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NCERT Solutions for Class 10 Maths Chapter 7 Coordinate Geometry (Ex ) Exercise

Exercise 7. Find mahs distance between the points 0, 0 and 36, Can you now find the distance class 10 maths ch 7 ex 7.4 solutions the two towns Coass and B discussed in Section 7. Distance between points 0, 0 and 36, 15 Yes, Assume town A at origin point 0, 0. Therefore, town B will be at point 36, 15 with respect to town A.

And hence, as calculated above, the distance between town A and B will be 39 km. Let the points 1, 5c, 3and - 2, be representing the vertices A, B, and C of class 10 maths ch 7 ex 7.4 solutions given triangle respectively. Check whether 5, � 26, 4 and 7, � 2 are the vertices of an isosceles triangle.

Let the points 5, � 26, 4and 7, � 2 are representing the vertices A, B, and C of the given triangle respectively. In a classroom, 4 friends are seated at the points A, B, C and D as shown in the following figure. Using distance formula, find which of them is correct.

Clearly from the figure, the coordinates of points A, B, C and D wolutions 3, 46, 79, 4 and 6, 1. By using distance dolutions, we. It can be observed that all sides of this quadrilateral ABCD are of the same length and also the diagonals are of the same length. Name the type of quadrilateral formed, if any, by the following points, and give class 10 maths ch 7 ex 7.4 solutions for your answer: i - 1, � 21, 0- 1, 2- 3, 0 ii - 3, 53, 10, 3- 1, � 4 iii 4, 57, 64, 31, 2.

Let 7. points � 1, � 21, 0� 1, 2and � 3, 0 be representing the vertices A, B, C, and D of the given quadrilateral respectively. It can be observed that all sides of this quadrilateral are of the same length and also, the diagonals are of the same length. Therefore, the given points are the vertices of a square. It can be observed that all sides of this quadrilateral are of different lengths.

Therefore, it can be said that it is only a general quadrilateral, and not specific such as maghs, rectangle. It can be observed that opposite sides of this quadrilateral are of the same length. However, the diagonals are of different lengths. Therefore, the given points are silutions vertices of a parallelogram. Find the point on the x -axis which is equidistant from 2, � 5 and - 2, 9. We have to find a point on x -axis.

Therefore, its y-coordinate will be 0. Find the values of y for which the distance between the points P 2, � 3 and Q 10, y is 10 units. It is given that the distance between 2, � 3 and 10, y is If Amths 0, 1 is equidistant from P 5, � 3 and R x6find the values of x. Also find the distance QR and PR. When point R is 4, 6. Find a relation between x and y such that the point x, solutons is equidistant from the point 3, 6 and - 3, 4. Point xy is equidistant from 3, 6 and � 3, 4.

Find the coordinates of the point which divides the join of - 1, 7 and 4, � 3 in the ssolutions Let P x mathhs, y be the required point. Using the section formula, we get Therefore, the point is 1, 3. Find the coordinates of the points of trisection of the class 10 maths ch 7 ex 7.4 solutions segment joining 4, -1 and -2, Let P x 1y 1 and Q x 2y 2 are the points of trisection of the line segment joining the given points i. Therefore, point P divides AB internally in the ratio To conduct Sports Day activities, in your rectangular shaped school ground ABCD, lines have been drawn with chalk powder at a distance of 1 m.

What is the distance between both the flags? If Rashmi has to post class 10 maths ch 7 ex 7.4 solutions blue flagexactly halfway between splutions line segment joining the two flags, where should she post her flag?

Therefore, the coordinates of this point G is 2, Therefore, the coordinates of this point R are 8, Coass the ratio in which the line segment joining the points -3, 10 and 6, � 8 is divided by -1, 6. Let the ratio in which the line segment joining -3, 10 and 6, -8 is divided by point -1, 6 be k : 1. Find the ratio in which the line segment joining A 1, � 5 and B - 4, 5 is divided by the clasw. Also find the coordinates of the point of division.

Let the ratio in which the line segment joining A 1, � 5 and B � 4, 5 is divided by x-axisbe. Therefore, 77 -axis divides it in the ratio If 1, 24, yx6 and 3, 5 are the vertices of a parallelogram taken in order, find x and y.

Mid point of diagonal AC is. Find the coordinates of a point A, where AB is class 10 maths ch 7 ex 7.4 solutions diameter of circle whose centre is 2, � 3 and B is 1, 4. Let the coordinates of point A be xy. Mid-point of AB is 2, � 3which is the center of the circle. Find the coordinates of the points which divide the line segment joining A - 2, 2 and B 2, 8 into four equal parts.

Solutionx the figure, it class 10 maths ch 7 ex 7.4 solutions be observed that points X, Y, Z are dividing the line segment in a ratio, respectively.

Find the area of a rhombus if its vertices are 3, 04, 5-1, 4 and -2,-1 taken in order. Find the area of the triangle formed by joining the mid-points of solution sides of the triangle whose vertices are 0, -12, 1 and 0, 3. Find the ratio of this area to the area of the given triangle. Let the vertices of the triangle be A 0, -1B 2, 1C 0, 3. Let D, E, F be the mid-points of the sides of this triangle.

Coordinates of D, E, and F are given by. Marhs the area of the quadrilateral whose vertices, taken in order, are -4, -2-3, -53, -2 and 2, 3. You have studied in Class IX that a median of a triangle divides it into two triangles of equal xe. Let silutions vertices of the triangle be A claas, -6B 3, -2and Clasa 5, 2. The area of both sides is .

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Offline Apps based on these solutions are also for new session. Join the Discussion Forum to discuss your doubts and respond the questions asked by your friends. 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. If the distance between the points 4, k and 1, 0 is 5, then what can be the possible values of k?

The area of a triangle is 5 sq units. Two of its vertices are 2, 1 and 3, If a point A 0,2 is equidistant from the points B 3,p and C p,5 then find value of p and the length of AB.

What is the ordinate of any point on x-axis? What is the distance of point 3,�4 from y-axis? What is the abscissa of any point on y-axis? What is the distance of point 3,2 from x-axis? A teacher asked three students to stand to form a triangle at the points P �1, 3 , Q 1,�1 and R 5, 1. Suddenly a fourth boy came and shows his interest in participating the activity. She asked him to stand at point mid way between Q and R. What is his distance from P.

Class 10 Maths Exercise 7.

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