Question

If three points (0, 0), \[\left( 3, \sqrt{3} \right)\]  and (3, λ) form an equilateral triangle, then λ =

 

पर्याय

• 2

• -3

• -4

•  None of these

Answer 1

We have an equilateral triangle ΔABC  whose co-ordinates are A (0, 0); B ` ( 3 ,sqrt(3))" and " C (3 , λ )` .

Since the triangle is equilateral. So,

`AB^2 = Ac^2`

So,

`(3 - 0)^2 + (sqrt(3) - 0)^2 = (3 - 0)^2 + (lambda - 0)^2`

Cancel out the common terms from both the sides,

Therefore,

`lambda = sqrt(3)`