Home
Class 12
MATHS
A foot of the normal from the point (4, ...

A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle has the equation `2x-y-2=0`. Then the equation of the circle is :

A

`x^(2) + y^(2)+2x-1=0`

B

`x^(2) + y^(2) -2x -1=0`

C

`x^(2) +y^(2) -2 y-1=0`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
b
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 normal at the point (3, 4) on a circle cuts the circle at the point (-1,-2). Then the equation of the circle is

If the line 2x-y+1=0 touches the circle at the point (2,5) and the centre of the circle lies in the line x+y-9=0. Find the equation of the circle.

The line 2x-y+1=0 touches a circle at the point (2, 5) and the centre of the circle lies on x-2y=4 . The diameter (in units) of the circle is

If the lines x+y+3=0 and 2x-y-9=0 lie along diameters of a circle of circumference 8pi then the equation of the circle is :

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10 pi , then the equation of the circle is

If the lines 3x + y = 11 and x - y = 1 are the diameters of a circle of area 154 sq. units, then the equation of the circle is

The equation of radical axis of two circles is x + y = 1 . One of the circles has the ends ofa diameter at the points (1, -3) and (4, 1) and the other passes through the point (1, 2).Find the equations of these circles.

Line 2x+3y+1=0 is a tangent to the circle at (1,-1). This circle is orthogonal to a circle which is drawn having diameter as a line segment with end points (0, -1) and (-2, 3). Then the equation of the circle is

If (a, 0) is a point on a diameter of the circle x^(2)+y^(2)=4 , then the equation x^(2)-4x-a^(2)=0 has

A circle touches y-axis at (0, 2) and has an intercept of 4 units on the positive side of x-axis. The equation of the circle, is

VMC MODULES ENGLISH-CIRCLES-LEVEL-1
  1. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

    Text Solution

    |

  2. Two tangents to the circle x^2 +y^2=4 at the points A and B meet at P(...

    Text Solution

    |

  3. A foot of the normal from the point (4, 3) to a circle is (2, 1) and a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |