Coordinate Geometry Ex 7.1 Question 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) Solution: Question 2. Find the distance between the points (0, 0) and (36, 15). Solution: Question 3. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear. Solution: Question 4. Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle. Solution: Question 5. In a classroom, 4 friends are seated at the points A, B, C and D as shown in the given 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. Solution: Question 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), (