Home
Class 11
MATHS
Statement 1 : The least and greatest dis...

Statement 1 : The least and greatest distances of the point `P(10 ,7)` from the circle `x^2+y^2-4x-2y-20=0` are 6 units and 15 units, respectively. Statement 2 : A point `(x_1,y_1)` lies outside the circle `S=x^2+y^2+2gx+2fy+c=0` if `S_1>0,` where `S_1=x1 2+y1 2+2gx_1+2fy_1+cdot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the greatest distance of the point P(10 ,7) from the circle x^2+y^2-4x-2y-20=0

Find the position of the point (1,-2) with respect to the circle x^(2)+y^(2)+4x-2y-1=0 .

Check wheather The point (1,2) lies inside the circle x^(2)+y^(2)-2x+6y+1=0 .

The angle between the pair of tangents from the point (1, 1/2) to the circle x^2 + y^2 + 4x + 2y -4 = 0 is

The distance of the point (1, 2) from the common chord of the circles x^2+y^2-2x+3y-5=0 and x^2+y^2+10x+8y=1 is

The inverse of the point (1, 2) with respect to the circle x^(2) + y^(2) - 4x - 6y + 9 = 0 is

Discuss the position of the points (1,2) and (6,0) with respect to the circle x^2+y^2-4x+2y-11=0

The equation of the tangent to the circle x^(2)+y^(2)-4x+4y-2=0 at (1,1) is

The chord of contact of (1,2) with respect to the circle x^(2)+y^(2)-4x-6y+2=0 is

If alpha is the angle subtended at P(x_(1),y_(1)) by the circle S-=x^(2)+y^(2)+2gx+2fy+c=0 then

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The range of values of r for which the point (-5+r/sqrt(2),-3+r/sqrt...

    Text Solution

    |

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

    Text Solution

    |

  3. Statement 1 : The least and greatest distances of the point P(10 ,7...

    Text Solution

    |

  4. Statement 1 : The number of circles passing through (1, 2), (4, 8) ...

    Text Solution

    |

  5. The locus of the midpoint of a line segment that is drawn from a given...

    Text Solution

    |

  6. The difference between the radii of the largest and smallest circles w...

    Text Solution

    |

  7. The centre of a circle passing through (0,0), (1,0) and touching the C...

    Text Solution

    |

  8. Each question has four choices a, b, c and d, out of which only one is...

    Text Solution

    |

  9. Statement 1 : If the chords of contact of tangents from three points...

    Text Solution

    |

  10. Statement 1 : Circles x^2+y^2=144 and x^2+y^2-6x-8y=0 do not have any ...

    Text Solution

    |

  11. The locus of the point from which the lengths of the tangents to the ...

    Text Solution

    |

  12. The locus of the center of the circle touching the line 2x-y=1 at (1,...

    Text Solution

    |

  13. The distance from the center of the circle x^2+y^2=2x to the common ch...

    Text Solution

    |

  14. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  15. The equation of the circumcircle of an equilateral triangle is x^2+y^2...

    Text Solution

    |

  16. A circle with radius |a| and center on the y-axis slied along it and a...

    Text Solution

    |

  17. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

    Text Solution

    |

  18. The range of values of alpha for which the line 2y=gx+alpha is a norma...

    Text Solution

    |

  19. ) Six points(x,yi),i=1,2, ,.., 6 are taken on the circle x4 such that ...

    Text Solution

    |

  20. Consider a circle x^2+y^2+a x+b y+c=0 lying completely in the first q...

    Text Solution

    |