Q. 1. Find the distance between the following pairs of points: (i) (2,3), (4,1), (ii) (–5,7), (–1,3), (iii) (a, b), (–a, –b); Q. 2. Find the distance between the points (0,0) and (36,15). Can you now find the distance between the two towns A and B discussed in Section 7.2?; Section–7.2- A town B is located 36km east and 15km north of the town A. How would you find the distance from town A from town B without actually measuring it.; Q. 3. Determine if the points (1,5), (2,3) and (–2, –11) are collinear.; Q. 4. Check whether (5,–2), (6,4) and (7, –2) are the vertices of anisosceles triangle.; Q. 5. In a classroom, 4 friends are seated at the points A, B, C and D as shown in the figure. Champa and Chameli walk into the class and after observing for a few minutes Champa asks Chameli,”Don’t you think ABCD is a square?” Chameli disagrees. Using distance formula, find which of them is correct.; Q. 6. Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: (i) (–1, –2), (1,0), (–1,2), (–3,0), (ii) (–3,5), (3,1), (0,3), (–1, –4), (iii) (4,5), (7,6), (4,3), (1,2); Q. 7. Find the point on the x-axis which is equidistant from (2, –5) and (–2,9); Q. 8. Find the values of y for which the distance between the points P(2, –3) and Q(10,y) is 10 units.; Q. 9. If Q(0,1) is equidistant from P(5,-3) and R(x,6), find the values of x. Also find distances QR and PR.; Q. 10. Find a relation between x and y such that the point (x,y) is equidistant from the points (3,6) and (-3,4)
