CBSE Class 11-science Answered
Find the points on the y-axis, whose distances from the line
are 5 units.
![](http://images.topperlearning.com/topper/questions/11286_image018.gif)
Asked by Topperlearning User | 20 Oct, 2016, 06:26: AM
The given line is
![](https://images.topperlearning.com/topper/questions/11286_image018.gif)
![Double click to edit](https://images.topperlearning.com/topper/questions/11286_8a1fdba5bd39fa1a24fd94a6dca0408a.png)
Let any point on the y-axis be (0, y).
Perpendicular distance from (0, y) to the given line
![open vertical bar fraction numerator 6 y minus 48 over denominator square root of 6 squared plus 8 squared end root end fraction close vertical bar equals 5
open vertical bar 6 y minus 48 close vertical bar equals 5 cross times 10 equals 50](https://images.topperlearning.com/topper/tinymce/cache/06895cced6abc3213a564534e360718f.png)
![T a k i n g space left parenthesis plus right parenthesis space s i g n comma space w e space g e t
6 y minus 48 equals 50
rightwards double arrow y equals 49 over 3
N o w space t a k i n g space left parenthesis minus right parenthesis space s i g n comma space w e space g e t
6 y minus 48 equals minus 50
rightwards double arrow y equals minus 1 third
T h e r e f o r e comma space t h e space p o i n t s space a r e space open parentheses 0 comma space 49 over 3 close parentheses space a n d space open parentheses 0 comma space minus 1 third close parentheses space](https://images.topperlearning.com/topper/tinymce/cache/edbb33a512a01191c9ecc2eb86ac0c86.png)
Answered by | 20 Oct, 2016, 08:26: AM
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