Home
Class 12
MATHS
If A=(-3,4), B=(-1,-2), C=(5,6), D=(x,-4...

If `A=(-3,4), B=(-1,-2), C=(5,6)`, `D=(x,-4)` are vertices of a quadrilateral such that `triangle A B D=2 Delta A C D,` then `x=`

A

6

B

9

C

69

D

96

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 Videos

Similar Questions

Explore conceptually related problems

If A(-5, 7), B(-4,-5), C(-1, -6) and D(4,5) are the vertices of a quadrilateral, then, find the area of the quadrilateral ABCD.

If the points A(1,1), B(-1,-1), C=(-sqrt(3), sqrt(3)) are the vertices of a triangle, then the triangle is

If A(-2, -1) B(a, 0) C(4, b) and D(1 , 2) are the vertices of a parallelogram. Find a and b

Let A(3,2), B(4, 1),C(3,1), and D(2, 4) be the vertices of a quadrilateral ABCD. Find the area of the quadrilateral formed by joining the midpoints of the sides of the quadrilateral ABCD.

If A=(6,3), B=(-3,5), C=(4,-2) and D=(x, 3 x) are four points, if [ar(Delta D B C)]/ [ar(Delta A B C)]=(1)/(2), then x=

Prove that the points A(1,-3),B(-3,0)and C(4,1) are the vertices of a right isosceles triangle .

Let A=[(2,-1),(3,4)], B=[(5,2),(7,4)], C=[(2,5),(3,8)] . Find a matrix D such that CD=AB .

Prove that the points A(0,-1),B(-2,3),C(6,7) and D(8,3) are the vertices of a rectangle ABCD .

Show that the points A(1,3),B(2,6),C(5,7) and D(4,4) are the vertices of a rhombus .

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. The angle between the lines formed by joining the points (2,-3),(-5,1)...

    Text Solution

    |

  2. The variable line (x)/(a)+(y)/(b)=1 is such that a+b=10 . The locus of...

    Text Solution

    |

  3. If A=(-3,4), B=(-1,-2), C=(5,6), D=(x,-4) are vertices of a quadrilate...

    Text Solution

    |

  4. The angle between the lines x cos alpha + y sin alpha = a and x sin be...

    Text Solution

    |

  5. The coordinates of the foot of the perpendicular from the point (2,3) ...

    Text Solution

    |

  6. If 2 x+3 y+4=0 is the perpendicular bisector of the segment joining th...

    Text Solution

    |

  7. The point of intersection of the lines (x + 1)/(3) = (y + 3)/(5) = (z...

    Text Solution

    |

  8. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

    Text Solution

    |

  9. A=(-9,0) and B=(-1,0) are two points. If P(x, y) is a point such that ...

    Text Solution

    |

  10. Let a and b non zero reals such that a ne b then the equation of the l...

    Text Solution

    |

  11. The reflection of the point (6,8) in the line x=y is

    Text Solution

    |

  12. The equation of the line passing through the intersection of the lines...

    Text Solution

    |

  13. If the lines y=4-3 x, a y=x+10 and 2 y+b x+9=0 represent the three con...

    Text Solution

    |

  14. The equation of the line making an intercept of 3 units on Y -axis and...

    Text Solution

    |

  15. The ratio in which the line y=x divides the segment joining (2,3) and ...

    Text Solution

    |

  16. If the points (1, 2) and (3, 4) were to be on the same side of the lin...

    Text Solution

    |

  17. The vertices of a triangle are (6, 0), (0, 6) and (6, 6). The distance...

    Text Solution

    |

  18. If the point x(1)+t(x(2)-x(1)), y(1)+t(y(2)-y(1)) divides the join of ...

    Text Solution

    |

  19. The co-ordinates of the image of the origin O. w.r.t. st. line x+y+1=0...

    Text Solution

    |

  20. A straight rod of length 9 units slides with its ends A, B always on t...

    Text Solution

    |