Home
Class 12
MATHS
The distance of the mid -point of line j...

The distance of the mid -point of line joining two ponts (4,0) and (0,4) from the centre of the circle `x^(2)+y^(2)=16` is

A

`sqrt2`

B

`2sqrt2`

C

`3sqrt2`

D

`3sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
mid-point of (4,0)and (0,4) is (2,2). `therefore` required distance =sqrt((2-0)^(2)+(2-0)^(2)=)sqrt8=2sqrt2
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL DISTRIBUTION

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|6 Videos

  • CONTINUITY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|16 Videos

Similar Questions

Explore conceptually related problems

The distance of the mid point of the line joining the points (a sin theta, 0)and (0, a cos theta) from the origin is

If (1,(p)/(3)) is the mid-point of the line segment joining the points (2,0) and (0,(2)/(9)), then show that the line 5x+3y+2=0 passes through the point (-1,3p)

The projection of the line joining the ponts (3,4,5) and (4,6,3) on the line joining the points (-1,2,4) and (1,0,5) is

If (x,y) be on the line joining the two points (1,-3) and (-4,2), prove that x+y+2=0

If the shortest distance of the parabola y^(2)=4x from the centre of the circle x^(2)+y^(2)-4x-16y+64=0 is "d" ,then d^(2) is equal to:

Find the distance of the point (1,2) from the mid-point of the line segment joining the points (6,8) and (2,4)

Let P be the point on the parabola y^(2) = 4x which is at the shortest distance from the centre S of the circle x^(2) + y^(2) - 4x - 16y + 64 = 0 . Let Q be the point on the circle dividing the lie segment SP internally. Then

The mid-point of the line joining the common points of the line 2x-3y+8=0" and "y^(2)=8x, is

Let P be the point on parabola y^(2)=4x which is at the shortest distance from the center S of the circle x^(2)+y^(2)-4x-16y+64=0 let Q be the point on the circle dividing the line segment SP internally.Then

The tangent from the point of intersection of the lines 2x – 3y + 1 = 0 and 3x – 2y –1 = 0 to the circle x^(2) + y^(2) + 2x – 4y = 0 is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-CIRCLE AND CONICS-All Questions
  1. If the equation of tangent to the circle x^2+y^2-2x+6y-6=0 and paralle...

    Text Solution

    |

  2. Circles are drawn through the point (2, 0) to cut intercept of length ...

    Text Solution

    |

  3. The distance of the mid -point of line joining two ponts (4,0) and (0,...

    Text Solution

    |

  4. Find the equation of a circle with centre (h, k) and touching the...

    Text Solution

    |

  5. The straight line x+y-1=0 meets the circle . x^2 +y^2-6x-8y=0 at A and...

    Text Solution

    |

  6. The -equation (x-x1)(x-x2)+(y-y1)(y-y2)=0 Represents a circle whose ce...

    Text Solution

    |

  7. The equation of the circle having x-y-2=0 and x-y+2=0 as two langents ...

    Text Solution

    |

  8. If the line y = 7x - 25 meets the circle x^(2) + y^(2) = 25 in the poi...

    Text Solution

    |

  9. The nearest point on the circle x^2 +y^2-6x + 4y-12=0 from (-5,4) is

    Text Solution

    |

  10. One of the diameters of the circle x^2+y^2-12x+4y+6=0 is given by

    Text Solution

    |

  11. A parabola has the origin as its focus and the line x""=""2 as the ...

    Text Solution

    |

  12. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  13. The directrix of the parabola y^(2)+4x+3=0is

    Text Solution

    |

  14. If the distance between the foci and the distance between the directri...

    Text Solution

    |

  15. The focal distance of a point on the parabola y^2= 16x whose ordinat...

    Text Solution

    |

  16. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  17. If ea n de ' the eccentricities of a hyperbola and its conjugate, p...

    Text Solution

    |

  18. If the eccentricity of a hyperbola is sqrt(3), the eccentricity of its...

    Text Solution

    |

  19. If (-1,-2sqrt2)is one of exteremity of a focal chord of the parabola ...

    Text Solution

    |

  20. The latus rectum of a parabola whose focal chord is PSQ such that SP =...

    Text Solution

    |