Home
Class 12
MATHS
If a point P has co-ordinates (0, -2) an...

If a point P has co-ordinates `(0, -2) and Q` is any point on the circle`x^2+y^2-5x-y+5=0,` then the maximum value of `(PQ)^2` is : (a) `(25+sqrt6)/2` (b) `14+5sqrt3` (c) `(47+10sqrt6)/2` (d) `8+5sqrt3`

A

`(25+sqrt6)/2`

B

`14+5sqrt3`

C

`(47+10sqrt6)/2`

D

`8+5sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -1)|9 Videos
  • CONIC SECTIONS

    DISHA PUBLICATION|Exercise Exercise : -1 Concept Builder (Topicwise -2)|7 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

If a point P has co-ordinates (0,-2) and Q is any point on the circle x^(2)+y^(2)-5x-y+5=0, then the maximum value of (PQ)^(2) is :( a) (25+sqrt(6))/(2) (b) 14+5sqrt(3)(c)(47+10sqrt(6))/(2) (d) 8+5sqrt(3)

Factorise: 2 sqrt2 x ^(3) + 3 sqrt3 y ^(3) + sqrt5 (5 -3 sqrt6 xy)

6sqrt(3)x^(2)-47x+5sqrt(3)

The length of the tangent from the point (4, 5) to the circle x^2 + y^2 + 2x - 6y = 6 is : (A) sqrt(13) (B) sqrt(38) (C) 2sqrt(2) (D) 2sqrt(13)

The length of the chord of the parabola y^(2)=x which is bisected at the point (2,1) is (a) 2sqrt(3)( b) 4sqrt(3)(c)3sqrt(2) (d) 2sqrt(5)

The line 2x-y+1=0 is tangent to the circle at the point (2,5) and the center of the circle lies on x-2y=4. The radius of the circle is 3sqrt(5)(b)5sqrt(3)(c)2sqrt(5)(d)5sqrt(2)

The radius of the circle passing through the points (1, 2), (5, 2) and (5, -2) is : (A) 5sqrt(2) (B) 2sqrt(5) (C) 3sqrt(2) (D) 2sqrt(2)

DISHA PUBLICATION-CONIC SECTIONS-Exercise-2 : Concept Applicator
  1. If a point P has co-ordinates (0, -2) and Q is any point on the circle...

    Text Solution

    |

  2. A circle C1, of radius 2 touches both x-axis and y- axis. Another circ...

    Text Solution

    |

  3. The equation of tangents drawn from the origin to the circlex^2+y^2-2r...

    Text Solution

    |

  4. Let AB be a chord of the circle x^(2) +y^(2) =r^(2) subtending a right...

    Text Solution

    |

  5. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

    Text Solution

    |

  6. Four distinct points (2k,3k) , (1,0), (0,1) and (0,0) lies on a circl...

    Text Solution

    |

  7. The number of integral values of lambda for which the equation x^2+y^2...

    Text Solution

    |

  8. The cable of a uniformly loaded suspension bridge hangs in the form...

    Text Solution

    |

  9. If from any point P, tangents PT, PT' are drawn to two given circles w...

    Text Solution

    |

  10. y=2x is a chord of the circle x^2 + y^2-10x = 0, then the equation of ...

    Text Solution

    |

  11. If a!=0 and the line 2bx+3cy+4d=0 passes through the points of interse...

    Text Solution

    |

  12. Q57) If the circle x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect...

    Text Solution

    |

  13. A rod AB of length 15 cm rests in between two coordinate axes in su...

    Text Solution

    |

  14. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  15. The eccentricities of the ellipse x^(2)/alpha^(2)+y^(2)/beta^(2)=1,alp...

    Text Solution

    |

  16. The middle point of chord x+3y=2 of the conic x^(2)+xy-y^(2)=1, is

    Text Solution

    |

  17. If x^2/a^2+y^2/b^2=1(a>b) and x^2-y^2=c^2 cut at right angles, then:

    Text Solution

    |

  18. If the line x+my+am^(2)=0 touches the parabola y^(2)= 4ax then the pon...

    Text Solution

    |

  19. The equation of the conic with focus at (1,-1), directrix along x -y +...

    Text Solution

    |

  20. The equation of one of the common tangent to the parabola y^(2) = 8x a...

    Text Solution

    |

  21. If two circles (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 int...

    Text Solution

    |