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QJEEM24Ma1ba1: JEE Main 2024 Mathematics - Class 11 JEEM24Ma1ba1 Solution: Let C be a circle with radius 10 units and centre at the…

Let C be a circle with radius 10 units and centre at the origin. Let the line x+y=2 intersects the circle C at the points P and Q. Let MN be a chord of C of length 2 unit and slope −1. Then, a distance (in units) between the chord PQ and the chord MN is

Multiple Choice Options

  • A 3−2
  • B 2−3
  • C 2−1
  • D 2+1

Step-by-Step Verified Solution

 Let the line by x+y=λ

JEE Main 2024 (Online) 4th April Evening Shift Mathematics - Circle Question 14 English Explanation

∴|λ2|=3∴λ=±32

∴ distance between lines x+y=2 and x+y=32 is

32−22=3−2

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