Home
Class 12
MATHS
The extremities of a diameter of a circl...

The extremities of a diameter of a circle have coordinates A(-4,3) and B(12,-1). Show that the length of its intercept on Y-axis is `4sqrt(3)`.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE -I|89 Videos
  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE II|169 Videos
  • CIRCLES

    AAKASH SERIES|Exercise EXERCISE 1.4 ( LONG ANSWER QUESTIONS)|3 Videos
  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos
  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

Similar Questions

Explore conceptually related problems

The extermities of a diameter of a circle have coordinate (-4,-3) and (12,-1). The length of the segment cut off by the circle on y -axis is

If (1,2) (2,a) are extremities of a diameter of the circle x^(2)+y^(2)_3x-4y+6=0 then a=

The equation of a circle touching the coordinate axes and the line 3x-4y=12 is

The centre of the circle touching the y-axis at (0,3) and making an intercept 2 unit on positive x-axis is

If (2,3) is an extremity of a diameter of the circle x^(2)+y^(2)-5x-8y+21=0 , then the other extremity of the diameter is

What is the other end of the diameter of the Circle, whose centre is (1,2) and one end point of the diameter is (3,4)?

Find the equation of the circle whose extremities of a diameter are (1, 2) and (4, 5)

The intercepts of the straight line passing through the points (1,2) and (-4,3) are

The centre of the circle touching y-axis at (0,4) and making an intercept 2 units on the positive x-axis is

Equation of circle which touch X-axies at (3,0) and making Y-intercept of length 8 units is

AAKASH SERIES-CIRCLES-ADDITIONAL EXERCISE
  1. If the lines 3x-4y+4=0 and 6x-8y-7=0 , x^(2)+y^(2)+16x+12y+c=0 are tan...

    Text Solution

    |

  2. The area of the quadrilateral formed by the tangents from the point (4...

    Text Solution

    |

  3. The extremities of a diameter of a circle have coordinates A(-4,3) and...

    Text Solution

    |

  4. Show that the equation of the circles touching the Y-axis at (0,3) and...

    Text Solution

    |

  5. Show that the point of intersection of the line 4x-3y-10=0 and the cir...

    Text Solution

    |

  6. Show that the equation of a line passing through the point (11,-2) and...

    Text Solution

    |

  7. If x+3y=0 is a tangent to the circle with centre at (-1,2) then show t...

    Text Solution

    |

  8. Show that the radius of the circle lying in the first quadrant, passin...

    Text Solution

    |

  9. A circle touches Y-axis at (0,3) and makes an intercept 2 units on the...

    Text Solution

    |

  10. Two circles, each of radius 5 have a common tangent at (1,1), whose eq...

    Text Solution

    |

  11. Show that the angle between the tangents drawn from (-1,3) to the circ...

    Text Solution

    |

  12. If the circles (x-1)^(2)+(y-3)^(2)=4r^(2) and x^(2)+y^(2)-8x+2y+8=0 in...

    Text Solution

    |

  13. Show that the centre of the circle passing through the points (0,0) an...

    Text Solution

    |

  14. If two distinct chords, drawn from the point (p,q) on the circle x^(2)...

    Text Solution

    |

  15. A circle touches the X-axis and also touches externally the circle wit...

    Text Solution

    |

  16. Let C be the circle with centre (0,0) and radius 3. Show that he equat...

    Text Solution

    |

  17. From the origin chords are drawn to the circle (x-1)^(2)+y^(2)=1. Show...

    Text Solution

    |

  18. Through a fixed point (h,k) secants are drawn to the circle x^(2)+y^(2...

    Text Solution

    |

  19. Show that the area of the triangle formed by the tangents from the poi...

    Text Solution

    |

  20. Tangents are drawn from each point on the line 2x+y=4 to the circle x...

    Text Solution

    |