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Point P  lies on the line l\{(x, y) \mid 3 x+5 y=15\}. If P is also equidistant from the coordinate axes, then P can be located in which of the four quadrants

 

Option: 1

 I only


Option: 2

 II only


Option: 3

 I or II only
 


Option: 4

 IV only


Answers (1)

best_answer

Let (x, y) lies in the I quadrant.


Hence, x=y=a>0 (say)
 \begin{gathered} 3 a+5 a=15 \\ a=\frac{15}{8} \end{gathered}
Hence, P\left(\frac{15}{8}, \frac{15}{8}\right)
Note that P can lie either on y=x  or y=-x in tht IV quadrant only.
Solving y=-x and the line x= -\frac{15}{2}
Hence, P=\left(-\frac{15}{2}, \frac{15}{2}\right)

Posted by

Kuldeep Maurya

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