JEE Main 2026 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 8 April 2026, Shift 2, Maths Q2

Question 2 of 75 in this shift, Maths question 2 of 25, Section A.

The number of values of

z \in \mathbb{C}

, satisfying the equations

|z - (4 + 8i)| = \sqrt{10}

and

|z - (3 + 5i)| + |z - (5 + 11i)| = 4\sqrt{5}

, is :

(1)0
(2)2Official answer
(3)1
(4)4

Official answer

Option 2

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Ellipse Eccentricity
Idea tested: Focal distance property

Same idea in other shifts

Asked 3× in all

4 Apr 2025, Shift 2 · Q11The centre of a circle C is at the centre of the ellipse $E:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ , $a>b$ . Let C pass through the foci $F_1$ …HardSingle correct
3 Aug 2021, Shift 2 · Q74If an ellipse passes through the point $(4, 1)$ and has foci at $(\pm3, 0)$ , then its eccentricity isMediumSingle 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.