Home
Class 12
MATHS
The equation of a circle is x^2+y^2=4. F...

The equation of a circle is `x^2+y^2=4.` Find the center of the smallest circle touching the circle and the line `x+y=5sqrt(2)`

A

`((7)/( 2 sqrt(2)),( 7)/( 2 sqrt( 2)))`

B

`((3)/(2), ( 3)/( 2))`

C

`(-(7)/( 2 sqrt(2)),( -7)/ (2 sqrt( 2)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-2|50 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 Videos

  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

The centre of the smallest circle touching the circles x^2+ y^2-2y -3=0 and x^2 +y^ 2-8x -18y +93= 0 is:

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y

Consider four circles (x+-1)^2+(y+-1)^2=1 . Find the equation of the smaller circle touching these four circles.

Find the equation of image circle of the circle x^(2)+y^(2)-2x=0 in the line x+y-2=0

Find the center of the smallest circle which cuts circles x^2+y^2=1 and x^2+y^2+8x+8y-33=0 orthogonally.

Find the equation of the family of circles touching the lines x^2-y^2+2y-1=0.

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

Find the equation of a circle with center (4, 3) touching the line x+y=1

Find the equation of a circle with center (4, 3) touching the circle x^2+y^2=1

Find the center of circle (x+2)^2+(y+4)^2=16

VMC MODULES ENGLISH-CIRCLES-LEVEL-1
  1. A foot of the normal from the point (4, 3) to a circle is (2, 1) and a...

    Text Solution

    |

  2. If the common chord of the circles x^(2) + ( y -lambda)^(2) =16 and x^...

    Text Solution

    |

  3. The equation of a circle is x^2+y^2=4. Find the center of the smallest...

    Text Solution

    |

  4. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  5. A square is formed by following two pairs of straight lines y^(2) - 14...

    Text Solution

    |

  6. A square is inscribed in the circle x^2+y^2-2x+4y-93=0 with its sides ...

    Text Solution

    |

  7. The area bounded by circles x^2 +y^2=r^2, r = 1, 2 and rays given by 2...

    Text Solution

    |

  8. The equation of circle touching the |y| = x at a distance sqrt2 units ...

    Text Solution

    |

  9. The line y=mx+c cuts the circle x^2 + y^2 = a^2 at two distinct points...

    Text Solution

    |

  10. If the centroid of an equilateral triangle is (1,1) and having two ...

    Text Solution

    |

  11. The equation of the circle inscribed in the triangle formed by the coo...

    Text Solution

    |

  12. The equation of a circle with origin as centre and passing through t...

    Text Solution

    |

  13. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  14. Using integration, find the area of the triangle formed by negative x-...

    Text Solution

    |

  15. The sides of a square are x =4, x = 7, y =1 and y = 4 . The equation...

    Text Solution

    |

  16. The coordinates of the points on the circles x^(2) +y^(2) =9 which are...

    Text Solution

    |

  17. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  18. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

    Text Solution

    |

  19. If the tangent from a point p to the circle x^2+y^2=1 is perpendicula...

    Text Solution

    |

  20. If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the ...

    Text Solution

    |