Home
Class 11
MATHS
Statement 1 : Let the vertices of a A B...

Statement 1 : Let the vertices of a ` A B C` be `A(-5,-2),B(7,6),` and `C(5,-4)` . Then the coordinates of the circumcenter are `(1,2)dot`
Statement 2 : In a right-angled triangle, the midpoint of the hypotenuse is the circumcenter of the triangle.
Only conclusion I follows Only
conclusion II follows
Either I or II follows
Neither I nor II follows

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement 2: a^n+b^n is divisible by a+bifn is odd. Only conclusion I follows Only conclusion II follows Either I or II follows Neither I nor II follows

Statement 1: The number of distinct terms in (1+x+x^2+x^3+x^4)^(1000) is 4001. Statement 2: The number of distinct terms in expansion (a_1+a_2++a_m)^ni s^(n+m-1)C_(m-1)^dot Only conclusion I follows Only conclusion II follows Either I or II follows Neither I nor II follows

Statement-l: If the diagonals of the quadrilateral formed by the lines px+ qy+ r= 0, p'x +q'y +r'= 0 , are at right angles, then p^2 +q^2= p' ^2+q' ^2 . Statement-2: Diagonals of a rhombus are bisected and perpendicular to each other. Only conclusion I follows Only conclusion II follows Either I or II follows Neither I nor II follows

The midpoints of the sides of a triangle are (1, 5, -1), (0, 4, -2) and (2, 3, 4). The coordinates of its vertices are-

If the midpoints of the sides of a triangle are (2,1),(-1,-3),a n d(4,5), then find the coordinates of its vertices.

Prove that A(3,3) B (8,-2) and C(-2,-2) are the vertices of a right - angled isosceles triangle . Also, find the length of the hypotenuse of triangle(ABC)

The coordinate of the vertices B and C of the triangle ABC are (5,2,8) and (2, -3, 4) respectively, if the coordinates of the centroid of the triangle are (3, -1,3), then the coordinates of the vertex A are-

A(2, 3, 1), B(-2, 2, 0) and C(0, 1, -1) are the vertices of the triangle ABC. Show that the triangle ABC is right -angled.

A B C is an isosceles triangle. If the coordinates of the base are B(1,3) and C(-2,7) , the coordinates of vertex A

Find the coordinate of the circumcenter of the triangle whose vertices are A(5,-1),B(-1,5), and C(6,6) . Find its radius also.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A line cuts the x-axis at A(7,0) and the y-axis at B(0,-5). A variable...

    Text Solution

    |

  2. Find the value of k so that point colinear (7,-2), (5,1), (3,k).

    Text Solution

    |

  3. Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5...

    Text Solution

    |

  4. If (x , y) and (X ,Y) are the coordinates of the same point referred t...

    Text Solution

    |

  5. OX and OY are two coordinate axes. On OY is taken a fixed point P(0,c)...

    Text Solution

    |

  6. Two vertices of a triangle are (5,-1) and (-2,3) If the orthocentre of...

    Text Solution

    |

  7. The vertices of a triangle are [a t1t2,a(t1 +t2)], [a t2t3,a(t2 +t3)],...

    Text Solution

    |

  8. If (-6,-4),(3,5),(-2,1) are the vertices of a parallelogram, then the...

    Text Solution

    |

  9. The maximum area of the triangle whose sides a,b and c satisfy 0leqale...

    Text Solution

    |

  10. If (-4,0) and (1,-1) are two vertices of a triangle of area 4s qdotu n...

    Text Solution

    |

  11. Let 0-=(0,0),A-=(0,4),B-=(6,0)dot Let P be a moving point such that th...

    Text Solution

    |

  12. Through the point P(alpha,beta) , where alphabeta>0, the straight line...

    Text Solution

    |

  13. The vertices A and D of square A B C D lie on the positive sides of x-...

    Text Solution

    |

  14. A light ray emerging from the point source placed at P(2,3) is reflect...

    Text Solution

    |

  15. If the origin is shifted to the point ((a b)/(a-b),0) without rotation...

    Text Solution

    |

  16. In Delta ABC, the coordinates of B are (0,0) AB=2,angleABC=pi//3, and ...

    Text Solution

    |

  17. If in triangle ABC, A=(1, 10), circumcentre=(-1/3, 2/3) and orthocentr...

    Text Solution

    |

  18. Find The orthocenter of the triangle formed by (0,0),(8,0),(4,6)

    Text Solution

    |

  19. In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0)...

    Text Solution

    |

  20. If the vertices of a triangle are (sqrt(5,)0) , (sqrt(3),sqrt(2)) , an...

    Text Solution

    |