Home
Class 12
MATHS
The shortest distance form the point P(-...

The shortest distance form the point `P(-7, 2)` to the cirlce `x^(2) + y^(2) -10x -14y -151 =0` in units

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

Find the shortest distance from the point M(-7,2) to the circle x^(2)+y^(2)-10x-14y-151=0

. The shortest distance from the point (2,-7) to circle x^(2)+y^(2)-14x-10y-151=0

The shortest distance from the point (0, 5) to the circumference of the circle x^2 + y^2 - 10x + 14y - 151 = 0 is: (A) 13 (B) 9 (C) 2 (D) 5

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

The shortest distance from (-2,14) to the circle x^(2)+y^(2)-6x-4y-12=0 is

The shortest distance of the point (1, 3, 5) from x^(2) + y^(2) = 0 is

The geometric mean of the minimum and maximum values of the distance of point (-7, 2) from the points on the circle x^(2)+y^(2)-10x-14y-51=0 is equal to

The sum of the minimum distance and the maximum distance from the point (2,2) to the circle x^(2)+y^(2)+4x-10y-7=0 is

The sum of the minimum distance and the maximum distnace from the point (4,-3) to the circle x ^(2) + y^(2) + 4x -10y-7=0 is

The geometrical mean between the smallest and greatest distance of the point P(10,7) from the circle x^(2)+y^(2)-4x-2y-20=0 is

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. The equation of diameter of a circle x^(2) + y^(2) + 2x - 4y =4, tha...

    Text Solution

    |

  2. The intercept on line y = x by circle x^2 + y^2- 2x = 0 is AB. Find eq...

    Text Solution

    |

  3. The shortest distance form the point P(-7, 2) to the cirlce x^(2) + y^...

    Text Solution

    |

  4. The length of the tangent drawn from any point on the circle x^(2) + y...

    Text Solution

    |

  5. If the line y = 3x + c is a tangent to x^(2) + y^(2) = 4 then the valu...

    Text Solution

    |

  6. The length of intercept on the straight line 3x + 4y -1 = 0 by the cir...

    Text Solution

    |

  7. Locus of middle point of intercept of any tangent with respect to the ...

    Text Solution

    |

  8. If the circle x^(2) + y^(2) + 4x + 2y + c = 0 bisects the cirucumferen...

    Text Solution

    |

  9. If length of the common chord of the circles x^2 + y^2 + 2x + 3y + 1 =...

    Text Solution

    |

  10. The distance between the chords of contact of tangents to the circle x...

    Text Solution

    |

  11. Two perpendicular tangents to the circle x^2 + y^2= a^2 meet at P. The...

    Text Solution

    |

  12. Through a fixed point (h, k) secants are drawn to the circle x^(2) + y...

    Text Solution

    |

  13. The equation of circle passing through the point (1, 1) and point of i...

    Text Solution

    |

  14. Show that the area of the triangle formed by the pósitive x-axis and t...

    Text Solution

    |

  15. A variable chord is drawn through the origin to the circle x^2+y^2-2a ...

    Text Solution

    |

  16. Obtain the equation of the circle orthogonal to both the circles x^2+y...

    Text Solution

    |

  17. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

    Text Solution

    |

  18. If centre of a circle lies on the line 2x - 6y + 9 =0 and it cuts the ...

    Text Solution

    |

  19. Locus of thews of the centre of the circle which touches x^2+y^2 - 6x-...

    Text Solution

    |

  20. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |