Home
Class 12
MATHS
If m(x-2)+sqrt(1-m^2) y= 3 , is tangent ...

If `m(x-2)+sqrt(1-m^2) y= 3` , is tangent to a circle for all `m in [-1, 1]` then the radius of the circle is

A

1.5

B

2

C

4.5

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
`(x-2) cos theta +y sin theta = 3` is tangent to the circle `(x-2)^(2) +y^(2) =3^(2)`.
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    CENGAGE|Exercise Multiple Correct Answers Type|9 Videos

  • CIRCLES

    CENGAGE|Exercise Comprehension Type|8 Videos

  • CIRCLE

    CENGAGE|Exercise MATRIX MATCH TYPE|6 Videos

  • COMPLEX NUMBERS

    CENGAGE|Exercise JEE Advanced Previous Year|14 Videos

Similar Questions

Explore conceptually related problems

If one of the diameters of the circle x^2+y^2-2 x-6 y+6 =0 is a chord to the circle with centre at (2,1) then the radius of the circle is equal to.

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

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 . Then find the radius of the circle.

If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find the equation of the other tangent to the circle from the origin.

lf a circle C passing through (4,0) touches the circle x^2 + y^2 + 4x-6y-12 = 0 externally at a point (1, -1), then the radius of the circle C is :-

If y = 2sqrt2x+c is a tangent to the circle x^(2) +y^(2) = 16 , find the value of c.

If C_1: x^2+y^2=(3+2sqrt(2))^2 is a circle and P A and P B are a pair of tangents on C_1, where P is any point on the director circle of C_1, then the radius of the smallest circle which touches c_1 externally and also the two tangents P A and P B is 2sqrt(3)-3 (b) 2sqrt(2)-1 2sqrt(2)-1 (d) 1

A circle x^2 +y^2 + 4x-2sqrt2 y + c = 0 is the director circle of circle S_1 and S_2 , is the director circle of circle S_1 , and so on. If the sum of radii of all these circles is 2, then find the value of c.

A B C D is a square of unit area. A circle is tangent to two sides of A B C D and passes through exactly one of its vertices. The radius of the circle is a) 2-sqrt(2) b) sqrt(2)-1 c) 1//2 d) 1/(sqrt(2))

CENGAGE-CIRCLES-Question Bank
  1. If m(x-2)+sqrt(1-m^2) y= 3 , is tangent to a circle for all m in [-1,...

    Text Solution

    |

  2. If a x+b y=10 is the chord of minimum length of the circle (x-10)^2+(y...

    Text Solution

    |

  3. Locus of the poirit of intersection of the pair of perpendicular tange...

    Text Solution

    |

  4. Let A B and C D are two parallel chords of circle whose radius is 5 un...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. A straight line l1 with equation x-2y+10=0 meets the circle with equat...

    Text Solution

    |

  7. If the tangent at the point P on the circle x^2+y^2+6 x+6 y=2 meets th...

    Text Solution

    |

  8. The radius of the circle whose two normals are represented by the equa...

    Text Solution

    |

  9. If the diagram, D C is a diameter of the large circle centered at A, a...

    Text Solution

    |

  10. If 2 x-3 y=0 is the equation of the common chord of the circles, x^2+y...

    Text Solution

    |

  11. If one of the diameters of the circle x^2+y^2-2 x-6 y+6 =0 is a chord ...

    Text Solution

    |

  12. A circle touches the y-axis at the point (0, 4) and cuts the x-axis in...

    Text Solution

    |

  13. In the figure given, two circles with centres Ct and C2 are 35 units a...

    Text Solution

    |

  14. If the lines 3x-4y+4=0 and 6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  15. The maximum distance of the point (4,4) from the circle x^2+y^2-2 x-...

    Text Solution

    |

  16. If the circle (x-a)^2+y^2=25 intersects the circle x^2+(y-b)^2=16 in s...

    Text Solution

    |

  17. If a circle S(x, y)=0 touches at the point (2,3) of the line x+y=5 and...

    Text Solution

    |