Two sides of a triangle are $3 x - y + 3 = 0$ and $3 x + 4 y + 3 = 0$ and lts orthocentre is $(- 2, - 3)$ . Then, the triangle is

obtuse angled

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acute angled

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right-angled

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isosceles

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Solution

The correct option is B right-angled
We will first check whether, the orthocenter lies on any given side of the triangle.
Here, $(- 2, - 3)$ lies on the side $3 x - y + 3 = 0$
$∴$ The triangle must be right-angled.

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