Home
Class 12
MATHS
Let the orthocentre and centroid of a tr...

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

Text Solution

AI Generated Solution

To solve the problem, we need to find the radius of the circle having line segment AC as the diameter, where A is the orthocenter and C is the circumcenter of the triangle. ### Step-by-Step Solution: 1. **Identify the Given Points**: - Orthocenter \( A(-3, 5) \) - Centroid \( B(3, 3) \) ...
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

If the orthocentre and centroid of a triangle are (-3, 5, 1) and (3, 3, -1) respectively, then its circumcentre is

If the centrroid and circumentre of a triangle are (3,3) and (6,2) respectively, then the orthocentre, is

If the coordinates of orthocentre O' are centroid G of a DeltaABC are (0,1) and (2,3) respectively, then the coordinates of the circumcentre are

In a triangle ABC,A=(-3,4), B(0,5) and the centroid of the triangle is ( 7/4 ,4).Then the Cordinates of vertex C is

If a vertex, the circumcenter, and the centroid of a triangle are (0, 0), (3,4), and (6, 8), respectively, then the triangle must be (a) a right-angled triangle (b) an equilateral triangle (c) an isosceles triangle (d) a right-angled isosceles triangle

If the middle points of the sides of a triangle are (-2,3),(4,-3),a n d(4,5) , then find the centroid of the triangle.

If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 and x - y = 0 then the orthocentre of the triangle lies on the line/lines

Two vertices of a triangle are (3,-2) and (-2,3) and its orthocentre is (-6,1) . Then the third vertex of this triangle can not lie on the line

Find the centroid of the triangle whose orthocentre is (-3,5) and circumcentre is (6,2).

If two vertices of a triangle are (-2,3) and (5,-1) the orthocentre lies at the origin, and the centroid on the line x+y=7 , then the third vertex lies at

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q....

    Text Solution

    |

  2. Let f(x)=x^2+ 1/x^2 and g(x)=x-1/x, x in R-{-1,0,1}. If h(x) = f(x)/...

    Text Solution

    |

  3. Let the orthocentre and centroid of a triangle be A(-3,5) and B(3,3) ...

    Text Solution

    |

  4. If L1 is the line of intersection of the planes 2x-2y+3z-2=0x-y+z+1=0 ...

    Text Solution

    |

  5. The length of the projection of the line segment joining the points (5...

    Text Solution

    |

  6. The integral int (sin^2xcos^2x)/(sin^5x+cos^3xsin^2x+sin^3xcos^2x+cos^...

    Text Solution

    |

  7. Let vec u be a vector coplanar with the vectors vec a = 2 hat i + 3 ha...

    Text Solution

    |

  8. A bag contains 4 red and 6 blach balls O balls is drawn at random from...

    Text Solution

    |

  9. PQR is a triangular park with PQ=PR=200m . A T.V tower stands at the m...

    Text Solution

    |

  10. The Boolean expression ~(pvvq)vv(~p^^q) is equivalent to (1) ~p (2) p ...

    Text Solution

    |

  11. If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos...

    Text Solution

    |

  12. If underset(i=1)overset(9)sum (x(i)-5) " and" underset(i=1)overset(9)s...

    Text Solution

    |

  13. There are 5 girls and 7 boyes and 2 girls is to be formed such that n...

    Text Solution

    |

  14. if vecA=i-j, vecB=i+j+k are two vectors and vecC is another vector suc...

    Text Solution

    |

  15. f(x)={ 5 ; xle1, a+bx; 1lt x lt 3, b+5x; 3le x lt5, 30 xge5 then

    Text Solution

    |

  16. Average height & variance of 5 students in a class is 150 and 18 respe...

    Text Solution

    |

  17. a,b,c are in G.P. and a+b+c=xb, x can not be (a) 2 (b) -2 (...

    Text Solution

    |

  18. {(2^(403))/(15)}=(k)/(15) then find k. (a) 2 (b) 8 (c) 1 (d...

    Text Solution

    |

  19. lim(y->o)(sqrt(1+sqrt(1+y^(4)))-sqrt(2))/(y^(4))= (a) (1)/(4sqrt(...

    Text Solution

    |

  20. If eccentricity of the hyperbola (x^(2))/(cos^(2) theta)-(y^(2))/(sin^...

    Text Solution

    |