Home
Class 11
MATHS
Find the equations to the diagonals of t...

Find the equations to the diagonals of the rectangle the equations of whose sides are `x=a ,x=a^(prime),y=ba n dy=b^(prime)`

Text Solution

Verified by Experts

Equation of CD
`(y-b)=(b'-b)/(a'-a)(x-a)`
Equation of BD
`(y-b')=(b-b')/(a'-a)(x-a)`.
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos

  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

Find the area of the triangle, the equations of whose sides are y=x, y=2x and y-3x=4.

Find the equations of the medians of a triangle,the equations of whose sides are: 3x+2y+6=0,2x-5y+4=0 and x-3y-6=0

The equation of the circumcircle of the triangle,the equation of whose sides are y=x,y=2x,y=3x+2, is

Find the equations of the circles drawn on the diagonals of the rectangle as its diameter whose sides are x=6,x=-3,y=3 and y=-1

Find the orthocentre of the triangle the equations or whose sides are x+y=1,2x+3y=6 and 4x-y+4=0

Find the equaiton of the circle drawn on a diagonal of the rectangle as its diameter whose sides are : x=5, x=8, y=4, y=7

Find the equation of the circle drawn on the diagonal of the rectangle as its diameter whose sides are x = 4 , x = - 2 and y = 5 and y = - 2.

find the length of the diagonal of a rectangle whose sides are 8 m and 6m.

Find the equations of the diagonals of the square formed by the lines x=o,y=0,x=1 and y=1

Find the equation of the circle circumscribing the rectangle whose sides are : x=4, x=-5, y=5, y=-3

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Find the equations the straight lines which go through the origin and ...

    Text Solution

    |

  2. A line is such that its segment between the lines 5x" "" "y" "+" "4...

    Text Solution

    |

  3. Find the equations to the diagonals of the rectangle the equations of ...

    Text Solution

    |

  4. A rectangle has two opposite vertices at the points (1,2)a n d(5,5)dot...

    Text Solution

    |

  5. Find the coordinates of the vertices of a square inscribed in the tria...

    Text Solution

    |

  6. If the intercept of a line between the coordinate axes is divided by ...

    Text Solution

    |

  7. A straight line moves so that the sum of the reciprocals of its interc...

    Text Solution

    |

  8. Find the equations of lines parallel to 3x-4y-5=0 at a unit distance f...

    Text Solution

    |

  9. If the length of the perpendicular from the point (1,1) to the line a...

    Text Solution

    |

  10. If t1 and t2 are roots of eth equation t^2+lambdat+1=0, where lambda i...

    Text Solution

    |

  11. Show that the locus of the mid-point of the segment intercepted betwee...

    Text Solution

    |

  12. Find the equation of the line which passes through P(1,-7) and meets t...

    Text Solution

    |

  13. The area of the triangle formed by the coordinates axes and a line is ...

    Text Solution

    |

  14. Find the equations of the line which passes through the point (3,4) an...

    Text Solution

    |

  15. For what values of a and b the intercepts cut off n the coordinate a...

    Text Solution

    |

  16. Find the equation of the straight line which passes though (1,-3) and ...

    Text Solution

    |

  17. If the line (x/a)+(y/b)=1 moves in such a way that (1/(a^2))+(1/(b^2))...

    Text Solution

    |

  18. If the sum of the distances of a moving point in a plane from the axes...

    Text Solution

    |

  19. Find the equation of the straight lines each of which passes through ...

    Text Solution

    |

  20. The equation of straight line which passes through the point (-4,3) su...

    Text Solution

    |