SATHEE: Straight Line Question 242

Straight Line Question 242

The number of equilateral triangles with $ y=\sqrt{3}(x-1)+2 $ and $ y=-\sqrt{3}\sqrt{x} $ as two of its sides is

Options:

A) 0

B) 1

C) 2

D) None of these

Show Answer

Answer:

Correct Answer: D

Solution:

[d] The sides given are $ y=\sqrt{3}(x-1)+2 $ and $ y=-x. $ Lines are at an angle $ 60{}^\circ $ to each other. Now any line parallel to acute angle bisector will make equilateral triangle with these lines as its two sides. Therefore, infinitely many lines.

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Straight Line Question 242

The number of equilateral triangles with $ y=\sqrt{3}(x-1)+2 $ and $ y=-\sqrt{3}\sqrt{x} $ as two of its sides is

Options:

Answer:

Solution:

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