Home
Class 12
MATHS
Cicles drawn on the diameter as focal d...

Cicles drawn on the diameter as focal distance of any point lying on the parabola `x^(2)-4x+6y+10 =0` will touch a fixed line whoose equation is -

A

y=2

B

y=-1

C

x+y=2

D

x-y=2

Text Solution

Verified by Experts

The correct Answer is:
B
`x^(2)-4x+6y+10=0`
`rArr(x-2)^(2)=-6(y+1)`
circle drawn on focal distance as diameter always touch the tanget at the vertex
i.e., `y+1=0" " rArry=1`
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST 4

    CAREER POINT|Exercise MATHS|30 Videos

  • MOCK TEST 6

    CAREER POINT|Exercise Part (C) (MATHS)|30 Videos

Similar Questions

Explore conceptually related problems

Circles drawn on the diameter as focal distance of any point lying on the parabola x^(2)-4x+6y+10=0 will touch a fixed line whose equation is

Focal distance of a point p(x_(1),y_(1)) on the parabola x^(2)=4ay is

What is the focal distance of any point P(x_(1), y_(1)) on the parabola y^(2)=4ax ?

Prove that the focal distance of the point (x,y) on the parabola x^(2)-8x+16y=0 is |y+5|

The focal distance of a point on a parabola y^2=8x is 8. Find it .

Circles are drawn with diameter being any focal chord of the parabola y^(2)-4x-y-4=0 with always touch a fixed line.Find its equation.

Find the points on the parabola y^(2)-2y-4x=0 whose focal length is 6.

The number of normals drawn from the point (6,-8) to the parabola y^(2)-12y-4x+4=0 is

Circle dawn with diameter as a focal chord of the parabola y^(2)-4x-y-4=0 which always touch the a line 16x+k=0 then the numerical value of 'k' must be

Circle dawn with diameter as a focal chord of the parabola y^(2)-4x-y-4=0 which always touch the a line 16x+k=0 then the numerical value of k must be

CAREER POINT-MOCK TEST 5-Part (C) (MATHS)
  1. Dual of (x'^^y')=xvvy is

    Text Solution

    |

  2. The locus of the centere of a circle which passes through the point (0...

    Text Solution

    |

  3. Cicles drawn on the diameter as focal distance of any point lying on ...

    Text Solution

    |

  4. The distance of a point, P,on the ellpise x^(2)+3y^(2)=6 lying in th...

    Text Solution

    |

  5. Total number of integral values of 'a' so that x^(2)-(a+1)x+a-1=0 has ...

    Text Solution

    |

  6. If a,b,c,d are such unequal real numbers that (a^(2)+b^(2)+c^(2))p^(2)...

    Text Solution

    |

  7. If (x) donotes the greates integer lex, then the value of int(4)^(10)...

    Text Solution

    |

  8. The area of the portion of the circle x^(2)+y^(2)=1 which lies inside ...

    Text Solution

    |

  9. Solution of the differential equation x dy -y dx = 0 represents-

    Text Solution

    |

  10. k=lim(xtooo)[(sum(k=1)^(1000)(x+k)^(m))/(x^(m)+10^(1000))] (mgt101) is...

    Text Solution

    |

  11. if roots of ax^(2)+bx+c=0 where epsiR^(+), are two positive consecutiv...

    Text Solution

    |

  12. If cos^(-1)(cosx)=sqrt(1sin2x)AAxepsi(0,2pi), then no. of solution =

    Text Solution

    |

  13. For a what value (s) of a, will the two points (1,a,1) and (-3,0,a) li...

    Text Solution

    |

  14. The number of integer values of x for which the inequality "log "(10) ...

    Text Solution

    |

  15. If three vectors (sec^(2)A) hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,...

    Text Solution

    |

  16. Maximum value of the expression (10x^(12))/(x^(24)+2x^(12)+3x^(16)+...

    Text Solution

    |

  17. if f be a differentiable function such that f(x) =x^(2)int(0)^(x)e^(-t...

    Text Solution

    |

  18. For what values of a, m and b, Lagrange's mean value theerorem is appl...

    Text Solution

    |

  19. The value of x for which f(x)=(sin.({x})/({x})+cos.({x})/({x})) is max...

    Text Solution

    |

  20. If l^r(x) means logloglog.......x being repeated r times, then int [ (...

    Text Solution

    |