Points and Straight Lines: A point on the straight line 3x+5y=15 which is equidistant from the… | JEE Main 2019

JEE Main 2019 (Online) 8th April Morning ShiftQuestion 1

A point on the straight line $3x+5y=15$ which is equidistant from the coordinate axes will lie only in :

Points and Straight Lines

$1^{st}$ and $2^{nd}$ quadrants✓ Correct answer$1^{st}$, $2^{nd}$ and $4^{th}$ quadrants$1^{st}$ quadrant$4^{th}$ quadrant

Solution

$y=x$ gives $\left(\frac{15}8,\frac{15}8\right)$ (1st quadrant); $y=-x$ gives $\left(-\frac{15}2,\frac{15}2\right)$ (2nd quadrant).

Points and Straight Lines - JEE Mathematics question (JEE Main 2019 (Online) 8th April Morning Shift)