You visited us 1 times! Enjoying our articles? Unlock Full Access!

Distance Formula

A is point on...

Question

A is point on x-axis and B is a point on y-axis. If the abscissa of A be a and the ordinate of B be -a. then find the length of segment AB.

Open in App

Solution

$A i s a p o i n t o n x - a x i s w i t h a b c i s s a a s o c o o r d i n a t e o f A i s (a, 0) a n d B i s t h e p o i n t o n Y - a x i s w h o s e o r d i n a t e i s - a s o i t s c o o r d i n a t e i s (0, - a) A B = \sqrt{(0 - a)^{2} + (- a - 0)^{2}} A B = \sqrt{a^{2} + a^{2}} = \sqrt{2 a^{2}} = a \sqrt{2} u n i t s$

Suggest Corrections

Similar questions

5

- 12

A

x -

- 8

B

y -

15

A B

Find the ordinate of the point whose abscissa is -5 and lies on the x-axis.

A

y -

5

B

(- 3, 1)

A B

Join BYJU'S Learning Program