The points (3, 4) and (-4, 3) lie on the same side of the line 2x - y + 3 = 0.
False
Two points (x1,y1) and (x2,y2) are on the same side of ax + by +c = 0 if ax1+by1+c and ax2+by2+c have the same sign. We will substitute the points in the given line and check the signs.
(3, 4 ) → 2 × 3 - 4 + 3 = 5 ⇒ +ve
(-4, 3) → 2 × - 4 - 3 + 3 = -8 ⇒ -ve
⇒ They will lie on opposite sides.