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Question:

A point on the straight line 3x+5t=15 which is equidistant from the coordinate axes lies only on:

1stand2ndquadrants

1st,2ndand4thquadrant

1stquadrant

4thquadrant

Solution:

Correct option is A. 1stand2ndquadrants
Now ,|15−3t5|=|t| ⇒15−3t5=t or 15−3t5=−t
∴t=158 or t=−152
So,P(158,158)∈1stquadrant or P(−152,152)∈2ndquadrant