If a △ ABC have vertices A(−1,7), B(−7,1) and C(5, −5), then its orthocenter has coordinates:
If a △ ABC have vertices A(−1,7), B(−7,1) and C(5, −5), then its orthocenter has coordinates:
Option 1 -
(-5/3, 5/3)
Option 2 -
(-3,3)
Option 3 -
(3, -3)
Option 4 -
(5/3, -5/3)
Asked by Shiksha User
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1 Answer
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Correct Option - 2
Detailed Solution:m? = 6/-12 = -1/2
∴ Equation of AD is y-7 = 2 (x+1)
y = 2x+9
m? = 12/-6 = -2
∴ Equation of BE is y-1 = 1/2 (x+7)y
y = x/2 + 9/2
by (1) and (2)
2x+9 = (x+9)/2
=> 4x+18 = x+9
=> 3x = 9 => x=-3
∴ y=3
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