Home
Class 11
MATHS
The vertices of a parallelogram A B C D ...

The vertices of a parallelogram `A B C D` are `A(3,1),B(13 ,6),C(13 ,21),` and `D(3,16)dot` If a line passing through the origin divides the parallelogram into two congruent parts, then the slope of the line is (a) `(11)/(12)` (b) `(11)/8` (c) `(25)/8` (d) `(13)/8`

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Vertices of a parallelogram taken in order are A( 2,-1,4)B(1,0,-1)C( 1,2,3) and D. Distance of the point P ( 8, 2,-12) from the plane of the parallelogram is

Find the area of the quadrilateral A B C D having vertices A(1,1),B(7,-3),C(12 ,2), and D(7, 21) .

Show that the points A(7, 3), B(6, 1), C(8, 2) and D(9, 4) taken in that order are vertices of a parallelogram.

A line with positive rational slope, passes through the point A(6,0) and is at a distance of 5 units from B (1,3). The slope of line is

Two vertices of the parallelogram ABCD are A( 8 , 14 , 12) and B( 4 , 6 , 4) and its diagonals intersect at ( 3 , 5 , 5) , find the coorinates of vertices C and D .

Find the area of a triangle whose vertices are A(3,2),B(11 ,8) and C(8,12)dot

Find the slope of the line passing through the given two point A(-1.4, -3.7), B(-2.4, 1.3)

Prove that the point A (7, 3), B (9, 6), C (10, 12) and D(8, 9) when joined consecutively produce a parallelogram.

The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at the point (a) (1/2 ,3/4) (b) (1,3) (c) (3,1) (d) (3/4 ,1/2)

The common chord of the circle x^2+y^2+6x+8y-7=0 and a circle passing through the origin and touching the line y=x always passes through the point. (a) (-1/2,1/2) (b) (1, 1) (c) (1/2,1/2) (d) none of these

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If a straight line through the origin bisects the line passing through...

    Text Solution

    |

  2. Let Ar ,r=1,2,3, , be the points on the number line such that O A1,O ...

    Text Solution

    |

  3. The vertices of a parallelogram A B C D are A(3,1),B(13 ,6),C(13 ,21),...

    Text Solution

    |

  4. Point A and B are in the first quadrant,point O is the origin. If the ...

    Text Solution

    |

  5. In a A B C ,A-=(alpha,beta),B-=(1,2),C-=(2,3), point A lies on the li...

    Text Solution

    |

  6. If y=ae^(mx)+be^(-mx), then (d^2y)/dx^2-m^2y is equals to (a)....

    Text Solution

    |

  7. The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the ...

    Text Solution

    |

  8. The points (0,8/3),(1,3) and (82 ,30) are the vertices of (A) an obtu...

    Text Solution

    |

  9. Consider the triangle whose vetices are (0,0) , (5,12) and (16,12).

    Text Solution

    |

  10. A Point A divides the join of P(-5,1) and Q(3.5) in the ratio k:1. The...

    Text Solution

    |

  11. Find the equation of the circle having center at (2,3) and which tou...

    Text Solution

    |

  12. If the lines x+y=6 and x+2y=4 are diameters of the circle which passes...

    Text Solution

    |

  13. Find the equation of the circle with radius 5 whose center lies on the...

    Text Solution

    |

  14. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  15. Find the image of the circle x^2+y^2-2x+4y-4=0 in the line 2x-3y+5=0

    Text Solution

    |

  16. If x^2+y^2-2x+2a y+a+3=0 represents the real circle with nonzero radiu...

    Text Solution

    |

  17. Find the equation of the circle having radius 5 and which touches line...

    Text Solution

    |

  18. If the equation p x^2+(2-q)x y+3y^2-6q x+30 y+6q=0 represents a circle...

    Text Solution

    |

  19. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  20. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |