Find the distance between the following pairs of points :(a, b),

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsShort Answer Type

111. Find the distance between the following pairs of points :
(2, 3), (4, 1)
1709 Views

112. Find the distance between the following pairs of points :
(– 5, 7), (– 1, 3)
1641 Views

Advertisement

113. Find the distance between the following pairs of points :
(a, b), (– a, – b)


Let the given points be A (a, b) and B(-a, -b)
We know that the distance between two points A (a, b) and B(-a, -b) is given by

AB space equals space square root of open parentheses straight x subscript 2 plus straight x subscript 1 close parentheses squared plus left parenthesis straight y subscript 2 minus straight y subscript 1 right parenthesis squared end root
therefore space space AB space equals space square root of open parentheses negative straight a minus straight a close parentheses squared plus left parenthesis negative straight b minus straight b right parenthesis squared end root
space space space space space space space space space space space equals space square root of left parenthesis negative 2 straight a right parenthesis squared plus left parenthesis negative 2 straight b right parenthesis squared end root
space space space space space space space space space space space equals space square root of 4 straight a squared plus 4 straight b squared end root
space space space space space space space space space space space space equals space square root of 4 left parenthesis straight a squared plus straight b squared right parenthesis end root
space space space space space space space space space space space space equals space square root of 4 left parenthesis straight a squared plus straight b squared right parenthesis end root
space space space space space space space space space space space space space space equals space 2 square root of straight a squared plus straight b squared end root

988 Views

Advertisement
114.

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.

843 Views

Advertisement
115.

Determine if the points (1, 5), (2, 3) and (– 2, – 11) are collinear

1618 Views

116.

Check whether (5, – 2), (6, 4) and (7, – 2) are the vertices of an isosceles triangle.

369 Views

117.

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 formula, find which of them is correct.


Fig. 7.8

133 Views

118.

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(-1, -2), (1, 0), (-1, 2), (-3, 0)

140 Views

Advertisement
119.

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(–3, 5), (3, 1), (0, 3), (–1, – 4)

167 Views

120.

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer:
(4, 5), (7, 6), (4, 3), (1, 2) 

154 Views

Advertisement