Let A( , −2), B( , 6) and C( /4, −2) be vertices of a ABC. If (5, /4) is the circumcentre of ABC, then which of the following is NOT correct about ABC:

JEE Main 2022 Mathematics question

Mathematics Solution of Triangles JEE Main 2022

Let , −2), , 6) and , −2) be vertices of a . If (5, ) is the circumcentre of , then which of the following is NOT correct about :

(1)area is 24
(2)perimeter is 25Correct
(3)circumradius is 5
(4)inradius is 2

Answer: (2)

Solution

AC is horizontal and AB is vertical, so the triangle is right-angled at A, and the circumcentre is the midpoint of , , 2). So and , giving . The vertices are A(8,

See the full step-by-step solution

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

Create a free account

Question ID VK-035058