Question bank/JEE Main/Mathematics

An equilateral triangle ABC is inscribed in the parabola
[IMAGE] and one of the sides of the equilateral triangle
has the gradient 2. If the sum of x -coordinates of all the vertices of
the triangle is expressed in the form of [IMAGE] (where
[IMAGE] are co prime natural number), then the value of

A6B2C4D8

Show answer and solution▾

[IMAGE] To find [IMAGE] And [IMAGE] Hence, [IMAGE] Now, [IMAGE] Taking the +ve sign, we get
[IMAGE] Taking -ve sign, we get
[IMAGE] We get,

Source: Grass-G / M-14 Mathematics Paper 7 Nov.docx