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Principal Solution of Trigonometric Equation

The distance ...

Question

The distance between the circumcentre and the orthocentre of a $Δ A B C$ is

R \sqrt{1 - 4 s i n A s i n B s i n C}

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R \sqrt{1 - 4 c o s A c o s B c o s C}

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R \sqrt{1 - 8 s i n A s i n B s i n C}

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R \sqrt{1 - 8 c o s A c o s B c o s C}

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Solution

The correct option is C $R \sqrt{1 - 8 c o s A c o s B c o s C}$
Therefore , Correct Answer is $D$

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Similar questions

$I n Q > N o .1, Write the distance between the circumcentre and orthocentre of Δ O A B .$

O

△ A B C

R_{1}, R_{2}, R_{3}

O B C, O C A

O A B

\frac{a}{R_{1}} + \frac{b}{R_{2}} + \frac{c}{R_{3}} =

△ A B C

R = 3

O

H

\frac{1}{64} (A H^{2} + B C^{2}) (B H^{2} + A C^{2}) (C H^{2} + A B^{2})

3^{k}

k

P (3, 0), Q (0, 0)

R (\frac{3}{2}, \frac{- 3 \sqrt{3}}{2})

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