JEE Main 2019 Mathematics question
Two vertices of a triangle are (0, 2) and (4, 3). If its orthocenter is at the origin, then its third vertex lies in which quadrant:
Answer: (C)
Solution
AH is the y-axis ⇒ BC horizontal: C = (h, 3); CH ⊥ AB ⇒ 3/h = −4 ⇒ C(−3/4, 3).