SATHEE: Straight Line Question 99

Straight Line Question 99

Question: The vertex of an equilateral triangle is (2,-1) and the equation of its base in $ x+2y=1 $ . The length of its sides is [UPSEAT 2003]

Options:

A) $ 4/\sqrt{15} $

B) $ 2/\sqrt{15} $

C) $ 4/3\sqrt{3} $

D) $ 1/\sqrt{5} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ |AD|=| \frac{2-2-1}{\sqrt{1^{2}+2^{2}}} |=\frac{1}{\sqrt{5}} $ $ \tan 60{}^\circ =\frac{AD}{BD} $ Þ $ \sqrt{3}=\frac{1/\sqrt{5}}{BD} $ Þ $ BD=\frac{1}{\sqrt{15}} $ $ BC=2BD=2/\sqrt{15} $ .

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Straight Line Question 99

Question: The vertex of an equilateral triangle is (2,-1) and the equation of its base in $ x+2y=1 $ . The length of its sides is [UPSEAT 2003]

Options:

Answer:

Solution:

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