Home
Class 11
MATHS
A triangle with vertices (4,0) ,(-1,-1) ...

A triangle with vertices (4,0) ,(-1,-1) (3,5) is

A

isoceles and right angles

B

isoscles but not right angled

C

right angled but not isosceles

D

neither right angeld nor isosceles

Text Solution

Verified by Experts

The correct Answer is:
A
Let AbC be the triabngle with vertifces A(4,0),B(-1,-1) and C(3,5). Then,
`AB=AC=sqrt(26) and BC=sqrt(52)`
Clearly, `AB^(2)+AC^(2)=BC^(2)`
Hence, the triangle is right-angled isosceles triangle
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|29 Videos

  • CARTESIAN CO-ORDINATE SYSTEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|6 Videos

  • BINOMIAL THEOREM AND ITS APPLCIATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

Similar Questions

Explore conceptually related problems

The perimeter of a triangle with vertices (0,4),(0,0) and (3,0) is

The perimeter of a triangle with vertices (0,4), (0,0) and (3,0) is

The orthocentre of the triangle with vertices (0,0),(3,4), and (4,0) is (a) (3,5/4) (b) (3,12) (c) (3,3/4) (d) (3,9)

The incentre of a triangle with vertices (7, 1),(-1, 5) and (3+2sqrt(3),3+4sqrt(3)) is

Find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(1, 5, 5).

A triangle ABC with vertices A(-1,0),B(-2,3/4) & C(-3,-7/6) has its orthocentre H, then the orthocentre of triangle BCH will be

Consider a triangle with vertices A(1,2),B(3,1) and C(-3,0) . Find the equation of altitude through vertex A .

The area of a triangle with vertices at (-4,-1), (1,2) and (4,-3) is a. 17 b. 16 c. 15 d. none of these

Show that the triangle with vertices A (3,5,-4), B (-1, 1,2) C (-5,-5,-2) is isosceles.

area of the triangle with vertices A(3,4,-1), B(2,2,1) and C(3,4,-3) is :

OBJECTIVE RD SHARMA ENGLISH-CARTESIAN CO-ORDINATE SYSTEM -Exercise
  1. A triangle with vertices (4,0) ,(-1,-1) (3,5) is

    Text Solution

    |

  2. If the vertices of a triangle are at O(0, 0), A (a, 0) and B (0, a). T...

    Text Solution

    |

  3. The angles A, B and C of a DeltaABC are in A.P. If AB = 6, BC =7,then...

    Text Solution

    |

  4. If the distance between the points P (a cos 48^@, 0) and Q(0, a cos 12...

    Text Solution

    |

  5. If the centroid of the triangle formed by the points (a ,\ b),\ (b ...

    Text Solution

    |

  6. Write the coordinates of the orthocentre of the triangle formed by ...

    Text Solution

    |

  7. If O is the origin P(2,3) and Q(4,5) are two, points, then OP*OQ cos ...

    Text Solution

    |

  8. If O is the origin and P(x(1),y(1)), Q(x(2),y(2)) are two points then ...

    Text Solution

    |

  9. If P(3,7) is a point on the line joining A(1,1) and B(6,16), then the ...

    Text Solution

    |

  10. The coordinates of the centrid of a triangle having its circumcentre a...

    Text Solution

    |

  11. The mid-point of the sides of a DeltaABC are D(6,1) ,E(3,5) and F(-1,-...

    Text Solution

    |

  12. If the coordinates of orthocentre O' are centroid G of a DeltaABC are ...

    Text Solution

    |

  13. The ratio in which the y-axis divides the line segement joining (4,6),...

    Text Solution

    |

  14. If C and D are the points of internal and external division of line se...

    Text Solution

    |

  15. If the centroid of a triangle is (1,\ 4) and two of its vertices...

    Text Solution

    |

  16. A triangle with vertices (4, 0), (-1,-1), (3,5), is

    Text Solution

    |

  17. The angle through which the coordinates axes be rotated so that xy-ter...

    Text Solution

    |

  18. In order to make the first degree terms missing in the equation 2x^2+7...

    Text Solution

    |

  19. When the origin is shifted to a suitable point, the equation 2x^2+y^2-...

    Text Solution

    |

  20. If by shifting the origin at (1,1) the coordinates of a point P become...

    Text Solution

    |

  21. By rotating the coordinates axes through 30^(@) in anticlockwise sens...

    Text Solution

    |