Verified Solution • 2025–26 Session moderate

QJEEM24Mac9dd: JEE Main 2024 Mathematics - Class 11 JEEM24Mac9dd Solution: Let a variable line passing through the centre of the circle x…

Let a variable line passing through the centre of the circle x2+y2−16x−4y=0, meet the positive co-ordinate axes at the points A and B. Then the minimum value of OA+OB, where O is the origin, is equal to

Multiple Choice Options

  • A 12
  • B 20
  • C 24
  • D 18

Step-by-Step Verified Solution

(y−2)=m(x−8)⇒x-intercept ⇒(−2m+8)⇒y-intercept ⇒(−8 m+2)⇒OA+OB=−2 m+8−8 m+2f′(m)=2 m2−8=0⇒m2=14⇒m=−12⇒f(−12)=18⇒ Minimum =18

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