Find the co-ordinates of the orthocenter of the triangle whose vertices are A(2,−2), B(1,1) and C(−1,0).

5.3 · Q57

Q. Find the co-ordinates of the orthocenter of the triangle whose vertices are A(2,-2), B(1,1) and C(-1,0).

Maharashtra MsbshseTextbookSubjectiveImportance★★★★★est

42% · 57/136 Questions

🔒 Locked · start free trial →

You're viewing a preview — the full solution, concept, methods & PYQ mapping are locked.

Start your 14-day free trial to unlock the full solution →

Vertices $A(2,-2)$ , $B(1,1)$ , $C(-1,0)$ . Altitude from $A \perp BC$ : slope $BC=\dfrac{0-1}{-1-1}=\dfrac12$ , so altitude slope $=-2$ : $y+2=-2(x-2) \Rightarrow 2x+y-2=0$ ...(i).

Altitude from $B \perp AC$ : slope $AC=\dfrac{0+2}{-1-2}=-\dfrac23$ , so altitude slope $=\dfrac32$ : $y-1=\dfrac32(x-1) \Rightarrow 3x-2y-1=0$ ...(ii). …

Start your 14-day free trial to unlock the full solution →

←Previous questionQ56 — Find the equations of perpendicular bisectors of sides of the triangle…→Next questionQ58 — N(3,−4) is the foot of the perpendicular drawn from the origin to line…

Q.Find the co-ordinates of the orthocenter of the triangle whose vertices are A(2,−2), B(1,1) and C(−1,0).

Concept understanding — Slope of a Line

Q.Find the co-ordinates of the orthocenter of the triangle whose vertices are A(2,−2), B(1,1) and C(−1,0).

🎓Unlock everything free for 14 days

Unlock everything free for 14 days