Home
Class 12
MATHS
The range of values of r for which the p...

The range of values of r for which the point `(-5+r/sqrt2,-3+r/sqrt2)` is an interior point of the major segment segment of the circle `x^2 + y^2 = 16`, cut off by the line ` x+ y=2`, is:

A

`lambda in (-oo, 5sqrt(2))`

B

`lambda in (4 sqrt(2)-sqrt(14), 5sqrt(2))`

C

`lambda in (4sqrt(2)-sqrt(14),4sqrt(2)+sqrt(14))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • CIRCLES

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|12 Videos
  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

The range of values of r for which the point (-5+(r)/(sqrt(2)),-3+(r)/(sqrt(2))) is an interior point of the major segment segment of the circle x^(2)+y^(2)=16, cut off by the line x+y=2, is:

The range of values of r for which the point (-5+(r)/(sqrt(2)),-3+(r)/(sqrt(2))) is an interior point of the major segment of the circle x^(2)+y^(2)=16, cut-off by the line x+y=2 is:

The set of values of a for which the point (2a,a+1) is an interior point of the larger segment of the circle x^(2)+y^(2)-2x-2y-8=0 made by the chord x-y+1=0, is

Find the ara of the smaller part of the circle x ^(2) +y ^(2) =a ^(2) cut off by the line x = (a)/(sqrt2).

Find the area of the smaller part of the circle x^(2)+y^(2)=a^(2) cut off by the line x=(a)/(sqrt(2))

The area of smaller segment cut off from the circle x^(2)+y^(2)=9 by x=1 is

The area of the smaller segment cut off from the circle x^(2)+y^(2)=9 by x = 1 is

OBJECTIVE RD SHARMA-CIRCLES-Exercise
  1. IF (alpha, beta) is a point on the chord PQ of the circle x^(2)+y^(2)=...

    Text Solution

    |

  2. If the point (lambda,lambda+1) lies inside the region bounded by the c...

    Text Solution

    |

  3. The range of values of r for which the point (-5+r/sqrt2,-3+r/sqrt2) i...

    Text Solution

    |

  4. The abscissa of the two points A and B are the roots of the equation x...

    Text Solution

    |

  5. Three sided of a triangle have equations L1-=y-mi x=o; i=1,2a n d3. Th...

    Text Solution

    |

  6. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  7. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  8. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  9. If the chord of contact of tangents from a point (x1, y1) to the circl...

    Text Solution

    |

  10. The circle S1 with centre C1 (a1, b1) and radius r1 touches externall...

    Text Solution

    |

  11. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  12. If the sum of the coefficient in the expansion of (alpha^2x^2-2alphax+...

    Text Solution

    |

  13. Tangents PT1, and PT2, are drawn from a point P to the circle x^2 +y^2...

    Text Solution

    |

  14. The value of theta in [0, 2pi] so that circle x^(2)+y^(2)+2 (sin alpha...

    Text Solution

    |

  15. The value of alpha in [0,2pi] so that x^(2)+y^(2)+2sqrt(sin alpha )...

    Text Solution

    |

  16. If in a DeltaABC (whose circumcentre is at the origin), a leq sinA ,...

    Text Solution

    |

  17. If P is a point such that the ratio of the squares of the lengths of t...

    Text Solution

    |

  18. If C(1),C(2),C(3),... is a sequence of circles such that C(n+1) is the...

    Text Solution

    |

  19. If r1a n dr2 are the radii of the smallest and the largest circles, re...

    Text Solution

    |

  20. The radical centre of three circles described on the three sides x+y=5...

    Text Solution

    |