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JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 April 2026, Shift 1, Maths Q9

Question 9 of 75 in this shift, Maths question 9 of 25, Section A.

Let the mid points of the sides of a triangle ABC be

\left(\frac{5}{2}, 7\right)

,

\left(\frac{5}{2}, 3\right)

and

(4, 5)

. If its incentre is

(h, k)

, then

3h+k

is equal to :

(1) $11$
(2) $12$
(3) $13$ Official answer
(4) $14$

Official answer

Option 3

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Incenter via Equidistance

Same idea in other shifts

Asked 2× in all

8 Apr 2023, Shift 2 · Q12Let $A(0, 1)$ , $B(1, 1)$ and $C(1, 0)$ be the mid-points of the sides of a triangle with incentre at the point $D$ . If the focus of the…HardSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.