Home
Class 11
MATHS
A(0,2), B(-2,-1), C(4,0) and D(2,3) are ...

`A(0,2), B(-2,-1), C(4,0) and D(2,3)` are vertices of parallelogram ABCD. If angle between its diagonal is `theta` then prove that `tan theta =3`.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Text based MCQs|25 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Latest Exam MCQs|1 Videos

  • STRAIGHT LINES

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise : 10|26 Videos

  • STATISTICS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|9 Videos

  • TRIGONOMETRIC FUNCTIONS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST)|15 Videos

Similar Questions

Explore conceptually related problems

Show that A(-1,0), B(3,1), C(2,2) and D(-2,1) are the vertices of a parallelogram ABCD.

The points A(4, 5, 10), B(2, 3, 4) and C(1, 2, -1) are three vertices of a parallelogram ABCD, then

Show that the points A(1,2,3) ,B(-1,-2,-1) ,C(2,3,2) and D(4,7,6) are the vertices of a parallelogram ABCD but it is not a rectangle

Prove that the points A(0,1), B(1,4), C(4,3) and D(3,0) are the vertices of a square ABCD.

If tan theta = sqrt2-1 then tan (2theta)=1 .

Three vertices of a parallelogram ABCD are A(1,2), B(2,4) and C(5,9) . Find the coordinates of the fourth vertex D

If the points A(1,-2) , B(2,3), C(a,2) and D(-4, -3) form a parallelogram, find the value of a and height of the parallelogram taking AB as base.

Three vertices of a parallelogram ABCD are A(3, -1, 2), B(1, 2, -4) and C(-1, 1, 2). Find the coordinates of the fourth vertex.

If sintheta + sin^(2)theta = 1 , prove that cos^(2)theta + cos^(4)theta = 1

KUMAR PRAKASHAN-STRAIGHT LINES-Practice Work
  1. A(-2, 1), B(2, 3) and C(-2, -4) are verticies of Delta ABC. Find measu...

    Text Solution

    |

  2. Angle between two lines is 45° and slope of one line is 2 then find sl...

    Text Solution

    |

  3. A(0,2), B(-2,-1), C(4,0) and D(2,3) are vertices of parallelogram ABCD...

    Text Solution

    |

  4. Two lines passes through (0,0), (2,3) and (2,-2), (3,5). Find measure ...

    Text Solution

    |

  5. Obtain the equation of the line which satisfying given condition : (...

    Text Solution

    |

  6. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  7. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  8. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  9. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  10. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  11. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  12. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  13. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  14. Obtain the equation at the line in Ex. (1) to (10) satisfying given co...

    Text Solution

    |

  15. Prove that point (4,1) divides perpendicular line segment joining poin...

    Text Solution

    |

  16. A(5, 2), B(2, 3) and C(6, 5) are the verticies of Delta ABC. Find equa...

    Text Solution

    |

  17. Find equation of line whose sum and product of intercepts on axis are ...

    Text Solution

    |

  18. Line makes right angled triangle with axis whose area is 6 unit and le...

    Text Solution

    |

  19. Find equation of line L whose length of perpendicular from origin is 2...

    Text Solution

    |

  20. In which ratio line x+y=4 divides line segment joining points (-1,1) a...

    Text Solution

    |