If for a ABC - A - B - C -0 then the triangle isA- All of theseB- Right angledC- Acute angledD- Obtuse angled

The correct option is C Acute angled cotA. cotB. cotC 0 ⇒ cotA 0,cotB 0, and cotC 0 Because two or more of cotA,cotB,cotC cannot be negative at the same t ...

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Standard XII

Mathematics

General Solution of Trigonometric Equation

If for a ABC ...

Question

If for a $△ A B C, c o t A . c o t B . c o t C > 0$ then the triangle is

Right angled

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Acute angled

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Obtuse angled

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All of these

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Solution

The correct option is B
Acute angled

$c o t A . c o t B . c o t C > 0 \Rightarrow c o t A > 0, c o t B > 0, a n d c o t C > 0$
Because two or more of cotA,cotB,cotC cannot be negative at the same time in a triangle

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If for a △ABC,cotA. cotB. cotC>0 then the triangle is

The correct option is B Acute angled cotA. cotB. cotC>0 ⇒cotA>0,cotB>0, and cotC>0 Because two or more of cotA,cotB,cotC cannot be negative at the same time in a triangle

If for a $△ A B C, c o t A . c o t B . c o t C > 0$ then the triangle is

The correct option is B
Acute angled

$c o t A . c o t B . c o t C > 0 \Rightarrow c o t A > 0, c o t B > 0, a n d c o t C > 0$
Because two or more of cotA,cotB,cotC cannot be negative at the same time in a triangle