Sadhana Bhadoriya

Ex – 7.1 Que No. 10 Q.10) Find a relation between x and y such that the point (x, y) is equidistant from the point (3, 6) and (– 3, 4). Solution:-

Ex – 7.1 Que No. 9 Q.9) 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. Solution:-

Ex – 7.1 Que No. 8 Q.8) Find the values of y for which the distance between the points P(2, – 3) and Q(10, y) is 10 units. Solution:-

Ex – 7.1 Que No. 7 Q.7) Find the point on the x-axis which is equidistant from (2, –5) and (–2, 9). Solution:-

Ex – 7.1 Que No. 6 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) Solution:- (ii). (–3, 5), (3, 1), (0, 3), (–1, – 4) Solution:- (iii). (4, 5), (7, 6),

Ex – 7.1 Que No. 5 Q.5) In a classroom, 4 friends are seated at the points A, B, C and D as shown in Fig. 7.8. 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

Ex – 7.1 Que No. 4 Q.4) Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle. Solution:-

Ex – 7.1 Que No. 3 Q.3) Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear. Solution:-

Ex – 7.1 Que No. 2 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. Solution:-

Ex – 7.1 Que No. 1 Q.1) Find the distance between the following pairs of points : i. (2, 3), (4, 1) Solution:- ii. (– 5, 7), (– 1, 3) Solution:- iii. (a, b), (– a, – b) Solution:-