Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Need explanation for: 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 :

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 :

  • Option 1)

    \frac{3\sqrt5}{2}

  • Option 2)

    \sqrt10

  • Option 3)

    2\sqrt10

  • Option 4)

    3\sqrt\frac{5}{2}

 

Answers (2)

best_answer

This is the Euler's line  \frac{2x-3}{3}=3 \Rightarrow x=6

\frac{2y+5}{3}=3 \Rightarrow y=2

point :(6,2)

Distance AB = \sqrt({9^{2}}+ 3^{2}) = \sqrt{90}= 3\sqrt10

radius \frac{3\sqrt10}{2}= 3\sqrt{\frac{5}{2}}

 

Euler line -

In any non equilateral triangle the circumcentre (O), the centriod (G) and the orthocentre (H) are collinear and G divides OH in ratio 1:2

- wherein

 

 


Option 1)

\frac{3\sqrt5}{2}

Option 2)

\sqrt10

Option 3)

2\sqrt10

Option 4)

3\sqrt\frac{5}{2}

Posted by

Plabita

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JoSAA Counselling 2025 LIVE: BTech registration starts at josaa.nic.in for IIT, NIT, IIIT admissions
anam-khan

Kota: 17-year old student from UP preparing for JEE dies of electrocution in hostel
anam-khan

CSAB 2025 counselling dates out for special, supernumerary rounds through JEE Mains

Latest Question