Home
Class 11
MATHS
If the two sides of rhombus are x+2y+2=0...

If the two sides of rhombus are x+2y+2=0 and 2x+y-3=0, then find the slope of the longer diagonal.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

Two sides of a rhombus lyin in the first quadrant are given by 3x-4y=0 and 12x-5y=0 . If the length of the longer diagonal is 12 units, find the equationsof the other two sides of the rhombus.

Two sides of a rhombus lying in the first quadrant are given by 3x-4y=0a n d12 x-5y=0 . If the length of the longer diagonal is 12, then find the equations of the other two sides of the rhombus.

The equation of the two adjacent sides of a parallelogram are 4x+ 5y = 0 and 7x + 2y =.0and equation of one of the diagonal is 1 lx + 7y = 9, find the equation of other diagonal.

The equations of two adjacent side of a parallelogram are 4x+5y=0 and 7x+2y=0 . If the equation of its one diagonal be 11x+7y=9 , find the equation of its other diagonal.

Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If the equation of one diagonal is 11 x+7y=9, find the equation of the other diagonal.

If one of the sides of a square is 3x-4y-12=0 and the center is (0,0) , then find the equations of the diagonals of the square.

The two adjacent sides of parallelogram are y = 0 and y=sqrt3(x-1) . If equation of one diagonal is sqrt3y=(x+1) , then equation of other diagonal is

Two sides of a rhombus are along the lines x - y + 1 = 0 and 7 x - y - 5 = 0 . If its diagonals intersect at ( - 1, -2) , then which one of the following is a vertex of this rhombus ?

The side of a square are x = 1, x = 3, y = 2 and y = 4. Find the equation of the circle drawn on the diagonals of the square as its diameter

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. If a and b are two arbitray constants, then prove that the straight li...

    Text Solution

    |

  2. Find the incentre of a triangle formed by the lines x "cos" (pi)/(9) +...

    Text Solution

    |

  3. If the two sides of rhombus are x+2y+2=0 and 2x+y-3=0, then find the s...

    Text Solution

    |

  4. The lines x+y-1=0,(m-1)x+(m^2-7)y-5=0, and (m-2)x+(2m-5)y=0 are (a)con...

    Text Solution

    |

  5. In triangle ABC, the equation of the right bisectors of the sides AB a...

    Text Solution

    |

  6. If (x/a)+(y/b)=1 and (x/c)+(y/d)=1 intersect the axes at four concylic...

    Text Solution

    |

  7. Show that the straight lines given by x(a+2b)+y(a+3b)= a + b for diffe...

    Text Solution

    |

  8. The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . ...

    Text Solution

    |

  9. Let ax+by+c=0 be a variable straight line, where a, b and c are 1^(st)...

    Text Solution

    |

  10. Angle made with the x-axis by a straight line drawn through (1, 2) so ...

    Text Solution

    |

  11. Prove that all the having sum of the intercepts on the axes equal to h...

    Text Solution

    |

  12. Three straight lines 2x+11y - 5 = 0 , 24 x + 7y - 20 = 0 and 4x - 3y ...

    Text Solution

    |

  13. Find the straight line passing through the point of intersection of li...

    Text Solution

    |

  14. Three lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 form the three sides of tw...

    Text Solution

    |

  15. Consider a family of straight lines (x+y)+lambda(2x-y+1)=0. Find the...

    Text Solution

    |

  16. Find alpha if (alpha, alpha^2) lies inside the triangle having sides a...

    Text Solution

    |

  17. If 5a+4b+20c=t,then the value of t for which the line ax+by+c-1=0 alwa...

    Text Solution

    |

  18. If the chord y = mx + 1 subtends an angle of measure 45^0 at the major...

    Text Solution

    |

  19. If x/l+y/m=1 is any line passing through the intersection point of the...

    Text Solution

    |

  20. Two sides of a rhombus OABC (lying in the first or third quadrant) of ...

    Text Solution

    |