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Saturday, 31 October

JEE Main 2023 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 10 April 2023, Shift 2, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

Let A be the point (1,2)(1, 2) and B be any point on the curve x2+y2=16x^2 + y^2 = 16. If the centre of the locus of the point P, which divides the line segment AB in the ratio 3:23:2 is the point C(α,β)C(\alpha, \beta), then the length of the line segment AC is
  1. (1)355\frac{3\sqrt{5}}{5}Official answer
  2. (2)255\frac{2\sqrt{5}}{5}
  3. (3)455\frac{4\sqrt{5}}{5}
  4. (4)655\frac{6\sqrt{5}}{5}

Official answer

Option 1

NTA final key.

Chapter
Conic Sections
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.