Home
Class 12
MATHS
Let f(x,y)=0 be the equation of a circle...

Let `f(x,y)=0` be the equation of a circle. If `f(0,lamda)=0` has equal roots `lamda=2,2 and f(lamda,0)=0` has roots `lamda=(4)/(5),5` then the centre of the circle is

A

`(2,(29)/(10))`

B

`((29)/(10),2)`

C

`(-2,(29)/(10))`

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

f(x , y)=x^2+y^2+2a x+2b y+c=0 represents a circle. If f(x ,0)=0 has equal roots, each being 2, and f(0,y)=0 has 2 and 3 as its roots, then the center of the circle is

f(x , y)=x^2+y^2+2a x+2b y+c=0 represents a circle. If f(x ,0)=0 has equal roots, each being 2, and f(0,y)=0 has 2 and 3 as its roots, then the center of the circle is (a) (2,5/2) (b) Data is not sufficient (c) (-2,-5/2) (d) Data is inconsistent

Suppose f(x,y)=0 is the equation of a circle such that f(x,1)=0 has equal roots (each equal to 2) and f(1,x)=0 also has equal roots (each equal to zero). The equation of circle is

f(x, y) = 0 is a circle such that f(0, lambda) = 0 and f(lambda, 0)=0 have equal roots and f(1, 1)= -2 then the radius of the circle is : (A) 4 (B) 8 (C) 2 (D) 1

If the equation has no real root, then lamda lies in the interval

If the difference of the roots of x^(2)-lamdax+8=0 be 2 the value of lamda is

Let a in R and f : R rarr R be given by f(x)=x^(5)-5x+a , then (a) f(x)=0 has three real roots if a gt 4 (b) f(x)=0 has only one real root if a gt 4 (c) f(x)=0 has three real roots if a lt -4 (d) f(x)=0 has three real roots if -4 lt a lt 4

IF the equation of conic 2x^2+xy+3y^2-3x+5y+lamda=0 represent a single point, then find the value of lamda

Let f(x)=x^(2)+ax+b , where a, b in R . If f(x)=0 has all its roots imaginary, then the roots of f(x)+f'(x)+f''(x)=0 are

If the following equations x+y-3z = 0, (1+lamda)x + (2+lamda) y - 8z = 0, x-(1+lamda)y + (2+lamda)z = 0 are consistent then the value of lamda is

VMC MODULES ENGLISH-CIRCLES-LEVEL-1
  1. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

  2. Find the equation of the circle whose radius is 3 and which touches ...

    Text Solution

    |

  3. Let f(x,y)=0 be the equation of a circle. If f(0,lamda)=0 has equal ro...

    Text Solution

    |

  4. Find the equation of the circle passing through the point of intersect...

    Text Solution

    |

  5. Find the equation of the circle passing through the intersection of th...

    Text Solution

    |

  6. The angle subtended by the chord x +y=1 at the centre of the circle x^...

    Text Solution

    |

  7. The locus of the centre of the circles which touches both the axes is ...

    Text Solution

    |

  8. The circumcentre of the triangle formed by the lines, xy + 2x + 2y + 4...

    Text Solution

    |

  9. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  10. The line ax+by+by+c=0 is normal to the circle x^(2)+y^(2)+2gx+2fy+d=0...

    Text Solution

    |

  11. If the points (2, 0), (0, 1), (4, 5)and (0, c) are concyclic, then th...

    Text Solution

    |

  12. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |

  13. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

    Text Solution

    |

  14. The equation of the circle which touches the axes of coordinates an...

    Text Solution

    |

  15. The circle x^(2)+y^(2)+4x-7y+12=0 cuts an intercept on Y-axis is of le...

    Text Solution

    |

  16. The shortest distance from the point (2,-7) to thwe circe x^(2)+y^(2)-...

    Text Solution

    |

  17. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  18. Prove that the length of the common chord of the two circles : (x-a)...

    Text Solution

    |

  19. Find the number of common tangents that can be drawn to the circles...

    Text Solution

    |

  20. Show that the circles x^(2) + y^(2) + 2 x -6 y + 9 = 0 and x^(2) +y^(2...

    Text Solution

    |