# If Three Points (0, 0), ( 3 , √ 3 ) and (3, λ) Form an Equilateral Triangle, Then λ = - Mathematics

MCQ

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

#### Options

• 2

• -3

• -4

•  None of these

#### Solution

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)

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 6 Co-Ordinate Geometry
Q 9 | Page 63