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JEE Main 2026 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 2 April 2026, Shift 1, Maths Q2

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

Let

x

and

y

be real numbers such that

50\left(\frac{2x}{1+3i}-\frac{y}{1-2i}\right)=31+17i

,

i=\sqrt{-1}

. Then the value of

10(x-3y)

is :

(1) $20$
(2) $31$
(3) $35$
(4) $75$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.