Home
Class 11
MATHS
If the area of the quadrilateral whose a...

If the area of the quadrilateral whose angular points taken in order are (1,2),(-5,6),(7,-4),(k,-2) be zero, prove that k=3.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION AND EXPRESSION

    PATHFINDER|Exercise QUESTION BANK|270 Videos

  • SAME SPECIAL SEQUENCE

    PATHFINDER|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3).

Find the area of the vertices A,B,C and D of the quadrilateral whose vertices have coordinates (1,1) ,(3,4),(5,-2) and (4,-7).

Find the area of the quadrilateral formed by the Points (1,4), (-2,1), (2,-3) and (3,3).

( c) Find the area of the quadrilateral formed by the four points (4,3),(2,5),(0,2) and (2,0) successively.

Area of the regular hexagon whose diagonal is the join of (2, 4) and (6,7) is

Four vertices of a quadrilateral are (1,2), (-5,6), (7,-4) and (k,-2) and its area is zero. Find the value of k.

The area of a quadrilateral is 28 square unit. If the coordinates of its angular points be (-1,6) (-2,-4) , (3,-2) and (a,b) , then show that , 2a+b=6 or , 2a+b=2

Find the area of the parallelogram whose two adjacent sides are 3i+4j and 5i+7j+2k.

Name the type of quadrilateral formed, if any, by the points, and give reasons for your answer. (4, 5), (7, 6), (4, 3), (1, 2)

Find the area of the parallelogram whose whose vertices are the points (0,-3,-1), (2,1,-1),(3,-3,2)and (1,-7,2) taken in order .

PATHFINDER-RECTANGULAR CO-ORDINATES-QUESTION BANK
  1. Three points (0,0),(3,sqrt3),(3,lambda) form an equilateral triangle. ...

    Text Solution

    |

  2. The point (22,23) divides the join of P(7,5) and Q externally in the r...

    Text Solution

    |

  3. Find out in centre of the triangle formed by (1,2),(3,4) and (2,3).

    Text Solution

    |

  4. The medians of a triangle meet at (0,-3) and two vertices are at (-1,4...

    Text Solution

    |

  5. The points (-a,-b),(a,b),(0,0) and (a^(2),ab), a ne 0, b ne 0 are alwa...

    Text Solution

    |

  6. Find the area of the triangle with vertices at the points (a,b+c),(b,c...

    Text Solution

    |

  7. Find the area of the triangle with vertices at (-4,1),(1,2),(4,-3).

    Text Solution

    |

  8. The points A(-2,3),B(3,4),C(x,y) form an equilateral triangle. Find x ...

    Text Solution

    |

  9. Find the ratio in which the segment joining the points (5,6) and (2,-3...

    Text Solution

    |

  10. Find the ratio in which the segment joining the points (5,6) and (2,-3...

    Text Solution

    |

  11. Prove that the points A(-2,-1) B(1,0), C(4,3) and D(1,2) are the verti...

    Text Solution

    |

  12. Find the equation of the lines joining the centroid G with the vertice...

    Text Solution

    |

  13. Find the equation of the right bisector of the line joining (1,1) and ...

    Text Solution

    |

  14. If the area of the quadrilateral whose angular points taken in order a...

    Text Solution

    |

  15. Find the co-ordinates of the point which divided the join of P(5,-2) a...

    Text Solution

    |

  16. Find the co-ordinates of the point which divided the join of P(5,-2) a...

    Text Solution

    |

  17. Show that the quadrilateral with vertices A(3,2), B(0,5), C(-3,2), D(0...

    Text Solution

    |

  18. A and B are points (3,4) and (5,-2), find the co-ordinate of the point...

    Text Solution

    |

  19. Find the ratio in which the line joining (-5,1) and (1,-3) divides the...

    Text Solution

    |

  20. Find the centre and radius of the circumcircle of the triangle whose v...

    Text Solution

    |