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Saturday, 31 October

JEE Main 2020 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 September 2020, Shift 1, Maths Q53

Question 53 of 75 in this shift, Maths question 3 of 25.

Let u =2z+iz−ki= \frac{2z+i}{z-ki}, z=x+iyz = x+iy and k >0> 0. If the curve represented by Re(u) + Im(u) = 1 intersects the yy-axis at the points P and Q where PQ = 5, then the value of k is :
  1. (1)1/2
  2. (2)2Official answer
  3. (3)3/2
  4. (4)4

Official answer

Option 2

NTA final key (Sep 2020).

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 108 of the 174 JEE Main shifts held from 2017 to 2026.