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Question: Orthocentre of the triangle whose vertices are (1, 1) (3, 5) and (3, 0) is-...

Orthocentre of the triangle whose vertices are (1, 1) (3, 5) and (3, 0) is-

A

(– 1, 1)

B

(1, –1)

C

(1, 1)

D

None of these

Answer

(1, 1)

Explanation

Solution

Slope of AB = 5−13−1\frac{5 - 1}{3 - 1}= 2

Slope of AC = 1−01−3\frac{1 - 0}{1 - 3}= – 12\frac{1}{2}

Q AB ^r AC

\ orthocentre is (1, 1)