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Exercise 7. Find the distance between the points 0, 0 and 36, Can you now find the distance between the two towns A and B class 10th ncert 7.2 github 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, 52, 3and - 2, be representing the vertices A, B, and C of the 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 are 3, 46, 79, 4 and 6, 1. By using distance formula, we. It can be observed that all sides of class 10th ncert 7.2 github 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 reasons 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 the 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 class 10th ncert 7.2 github 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 square, 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 the 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 Q 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, y 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 ratio Let P xy be the required point.

Using the section formula, we get Therefore, the point is 1, 3. Find the class 10th ncert 7.2 github of the points of trisection of the line 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 Class 10th ncert 7.2 github 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 a blue flagexactly halfway between the 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, Find the ratio in which class 10th ncert 7.2 github line segment joining the points -3, 10 and 6, � 8 is divided by -1, 6. Let the ratio in which the line class 10th ncert 7.2 github joining -3, 10 class 10th ncert 7.2 github 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 x-axis.

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, x -axis divides it in the ratio Class 10th ncert 7.2 github 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 the 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 - class 10th ncert 7.2 github, 2 and B 2, 8 into four equal parts. From the figure, it can 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 the 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. Find 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 areas. Let the vertices of the triangle be A 4, -6B 3, -2and C 5, 2.

Class 10th ncert 7.2 github area of both sides is .

Update:

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Let and. Using Section Formula to find coordinates of point which divides join of �1, 7 and 4, �3 in the ratio , we get. Therefore, the coordinates of point are 1, 3 which divides join of �1, 7 and.

We want to find coordinates of the points of trisection of the line segment joining 4, �1 and �2, �3. Let coordinates of point C be and let coordinates of point D be. Using Section Formula to find coordinates of point C which divides join of 4, �1 and �2, �3 in the ratio , we get.

Using Section Formula to find coordinates of point D which divides join of 4, �1 and �2, �3 in the ratio , we get. Therefore, coordinates of point C are 2, and coordinates of point D are 0,. Niharika runs 14 th of the distance AD on the 2 nd line and posts a green flag. Therefore, the coordinates of point where she stops are 2 m, 25 m. Preet runs 15th of the distance AD on the eighth line and posts a red flag.

After joining these points a triangle is obtained by her. What type of triangle is it? What values are depicted in the question? The coordinates of the houses of Mona and Nishi are 7, 3 and 4, �3 respectively. The coordinates of their school are 2, 2. If they both start for school at the same time in the morning and reaches at the same time, who walks fast?

If 1, 2 , 4, y , x, 6 and 3, 5 are the vertices of a parallelogram taken in order, find x and y. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is 2, -3 and B is 1, 4. Find the coordinates of the points which divide the line segment joining A -2, 2 and B 2, 8 into four equal parts. Find the area of a rhombus if its vertices are 3, 0 , 4, 5 , -1, 4 and -2, -1 taken in order.

Solution: Ex 7.

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