Home
Class 12
MATHS
2x-y+4=0 is a diameter of a circle which...

`2x-y+4=0` is a diameter of a circle which circumscribes a rectangle ABCD. If the coordinates of A and B are (4,6) and (1,9) resepectively. Find the area of ABCD.

Text Solution

Verified by Experts

The correct Answer is:
18 sq unit
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (THREE DIMENSIONAL COORDINATE GEOMETRY)|10 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise CALCULUS|84 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

ABCD is a rectangular A circle circumscribing the rectangle. The coordinates of A and C are (-3, 4) and (5, 4) respectively. Equation of circle will be -

The sides of the rectangle ABCD are parallel to the axes. If the coordinates of A and C are (12, 3) and (7, 6) respectively, find the coordinates of D.

ABCD is a rectangular A circle circumscribing the rectangle. The coordinates of A and C are (-3, 4) and (5, 4) respectively. Coordinate of centre of the circle will be -

ABCD is a rectangular A circle circumscribing the rectangle. The coordinates of A and C are (-3, 4) and (5, 4) respectively. If (a, 0) is lying inside the circumscribe circle then the expected value of a will be -

One of the diameters of the circle circumscribing the rectangle ABCD is 4y = x + 7. If A and B are (-3, 4), (5, 4) then find the area of the rectangle.

The sides of the rectangle ABCD are parallel to the coordinate axis. If the coordinates of the vertices B and D be (7,3) and (2,6) respectively, find the coordinates of the vertices A and C .

E is the mid - point of the diagonal AC of the rectangle ABCD , if the coordinates of A and E are (7,-8) and (2,-2) , then state which of the following are the coordinates of C ?

The sides of the rectangle ABCD are parallel to the coordinate axes. If the coordinates of the vertices B and D be (7,3) and (2,6) respectively , find the coordinates of the vertices A and C .

One end of a diameter of the circle x^2+y^2-3x+5y-4=0 is (2,1). Find the coordinates of the other end.

The points A,B,C,D have the respective coordinates (-2,-3),(6,-5) , (18,9) and (0,12) . Find the area of the quadrilateral ABCD.

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
  1. Show that the quadrilateral formed by the four lines y=mx+a sqrt(a+m^(...

    Text Solution

    |

  2. Show that the lines x cos alpha+ y alpha=p, x cos (alpha+ (2pi)/(3)) +...

    Text Solution

    |

  3. 2x-y+4=0 is a diameter of a circle which circumscribes a rectangle ABC...

    Text Solution

    |

  4. ABC is right-angle triangle, right -angled at A. The coordinates of B ...

    Text Solution

    |

  5. The line through A( a cos theta,0) and perpendicular to the x-axis mee...

    Text Solution

    |

  6. P and Q are two point on the line x-y+1=0, if O is the origin and bar...

    Text Solution

    |

  7. O(0,0) and A(4,4) are two given points and B is any point. Find the eq...

    Text Solution

    |

  8. Show that the image of the point (h,k) with respect to the striaight l...

    Text Solution

    |

  9. A point moves so that sum of the squares of its distances from the ve...

    Text Solution

    |

  10. Find the locus of mid points of chords of the cirlce. x^(2)+y^(2)=a^(2...

    Text Solution

    |

  11. A straight line is such that its segment between lines 5x-y-4=0 and 3x...

    Text Solution

    |

  12. A rod of length a unit slides on the x-axis and another rod of length ...

    Text Solution

    |

  13. A circle cuts intercepts of length 2a unit and 2b unit from the x-axis...

    Text Solution

    |

  14. Let x^(2)+y^(2)-4x-2y-11=0 be a fixex circle.A pair of tangents to the...

    Text Solution

    |

  15. The circle x^(2)+y^(2)-4x-4y+4=0 is inscribed in a triangle which has ...

    Text Solution

    |

  16. Find the equation of the circle passing through the point (2,0) and to...

    Text Solution

    |

  17. Tangents PQ and PR are drawn from the point (alpha, beta) to the circl...

    Text Solution

    |

  18. Let S-=x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the of the foo...

    Text Solution

    |

  19. The line 2x+3y=12 meets the x-axis at A and the y-axis at B. the line...

    Text Solution

    |

  20. Find the equation of the line passing through the point (2,3) and maki...

    Text Solution

    |