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The Orthocentre

The line Ax +...

Question

The line Ax + By + C = 0 cuts the x- axis at P and y - axis at Q. Find the co - ordinates of the ortho - centre of the $Δ$ OPQ.

A

(0, 0)

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B

(2, 0)

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C

(0, 4)

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D

(4, 0)

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Solution

The correct option is A $(0, 0)$
Since the $Δ O P Q$ is a right angle triangle and the orthocentre of a right triangle passes through origin.
Hence orthocentre of $Δ O P Q$ is $(0, 0)$ .

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