JEE Main 2013MathematicsStraight LinesMediumMCQ

JEE Main 2013 — Straight Lines Question with Solution

JEE Main 2013 (07 Apr)

Question

The x-coordinate of the incentre of the triangle that has the coordinates of midpoints of its sides as 0,1, 1,1 and 1,0 is

Choose an option

Show full solutionCorrect option: D
Correct answer
D 2 - 2

Step-by-step explanation



Let x1, y1, x2, y2 and x3, y3 be the vertices of a triangle,

So,
x1+x2=0, x2+x3=2, x3+x1=2 [mid point formula x1+x22 ]

Similarly,

y1+y2=2, y2+y3=2, y3+y1=0

So, the vertices are 0,0, 0,2, 2,0.

We know that x-coordinate of incentre x¯=ax1+bx2+cx3a+b+c   

a=2,b=2,c=22,x1=0,x2=2,x3=0

∴  x¯=0+4+02+2+22

⇒ x¯=2-2

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Straight Lines chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

About this question

This is a previous-year question from JEE Main 2013, covering the Straight Lines chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.