Test SeriesFree PYQsExamsPricing

JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

The equation of the circumcircle of an equilateral triangle is and one vertex of the triangle is . The equation of incircle of the triangle is

Answer: (B)

Solution

In an equilateral triangle the incentre is the circumcentre, , and the inradius is half the circumradius: . Since lies on the circumcircle, , i.e. . The incircle is

(x+ + (y+ = Missing argument for \tfrac\tfrac+-c).

Multiply by 4 and expand:

See the full step-by-step solution

Create a free account to read the complete working (6 steps), and practise questions like this in a timed test.

Create a free account

Question ID VK-108904