Verified Solution • 2025–26 Session moderate

QJEEM18Mab31a: JEE Main 2018 Mathematics - Class 11 JEEM18Mab31a Solution: Let the orthocentre and centroid of a triangle be A(-3, 5) and…

Let the orthocentre and centroid of a triangle be A(-3, 5) and B(3, 3) respectively. If C is the circumcentre of this triangle, then the radius of the circle having line segment AC as diameter, is :

Multiple Choice Options

  • A 352
  • B 10
  • C 210
  • D 352

Step-by-Step Verified Solution

In a triangle, orthocentre, centroid and circumcenter are collinear and centroid divides orthocenter and circumcenter in 2 : 1 ratio.

JEE Main 2018 (Offline) Mathematics - Properties of Triangle Question 28 English Explanation

Here AB = 2 BC

AB=(3+3)2+(3−5)2

=36+4

=40

=210

∴ BC =10

∴ AB + BC

=210+10

=310

AC is the diameter of the circle.

∴ Radius =12 AC

=12×310

=352

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