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Exercise 7. Find the distance between the following pairs of points: i 2, 3 , 4, 1 ii -5, 7 , -1, 3 iii a, b , -a, -b Solution:. Find the distance between the points 0, 0 and 36, Determine if the points 1, 5 , 2, 3 and -2, are collinear.
Check whether 5, -2 , 6, 4 and 7, -2 are the vertices of an isosceles triangle. In a classroom, 4 friends are seated at the points A, B, C and D as shown in the given figure. Using distance formula, find which of them is correct. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer. Find the point on the x-axis which is equidistant from 2, -5 and -2, 9.
Find the values of y for which the distance between the points P 2, -3 and Q 10, y is 10 units. If Q 0, 1 is equidistant from P 5, -3 , and R x, 6 , find the values of x.
Also, find the distances QR and PR. Find a relation between x and y such that the point x, y is equidistant from the points 3, 6 and -3, 4.
Find the coordinates of the points of trisection of the line segment joining 4, -1 and -2, 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 each. What is the distance between both the flags?
If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag? Solution: The blue flag is in the 5th line, at a distance of Find the ratio in which the line segment joining the points -3, 10 and 6, -8 is divided by -1, 6. Find the ratio in which 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.
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