Home
Class 12
MATHS
Find the radius of the smalles circle wh...

Find the radius of the smalles circle which touches the straight line `3x-y=6` at `(-,-3)` and also touches the line `y=x` . Compute up to one place of decimal only.

A

`1.2`

B

`1.6`

C

`1.8`

D

`2.1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS )|16 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS|56 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|53 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B - ARCHITECTURE (ENTRANCE EXAMINATION PAPERS)|14 Videos
  • COMPLEX NUMBERS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPER|17 Videos

Similar Questions

Explore conceptually related problems

Find the radius of the smallest circle which touches the straight line 3x-y=6 at (1,-3) and also touches the line y=x Compute up to one place of decimal only.

Find the radius of a circle which touches two lines 3x-4y-6=0 and 6x-8y+1=0.

Radius of smaller circle that touches the line y=x at (1,1) and also touches the x -axis is:

Find the equation of the circle which touches the lines x=0 ,y=0 and x=c

If the radius of the smallest circle which touches the line " 3x-y=6 " at (1,-3) and also touches the line " x=y " is " sqrt(a)(10-4sqrt(b)) " where a "&b" are prime numbers,then find the value of " (b+a)^(3)+(b-a)^(3) "

Find the area (in square units of the circle which touches the lines 4x+3y=15 and 4x+3y=5

Find the equation of the circle which touches the lines 4x-3y+10=0 and 4x-3y-30=0 and whose centre lies on the line 2x+y=0 .

Find the equation of the circle which touch the line 2x-y=1 at (1,1) and line 2x+y=4

Find the equation of a circle with centre (1,-3) and touches the line 2x-y-4=0.

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. The locus of a point which moves such that the sum of the squares of t...

    Text Solution

    |

  2. The tangents to the circle x ^(2) + y ^(2) = 48, which are inclined at...

    Text Solution

    |

  3. Show that the circle on the chord xcosalpha+ ysinalpha-p = 0 of the ci...

    Text Solution

    |

  4. The locus of a point which moves in a plane so that the sum of the squ...

    Text Solution

    |

  5. Two circles are such that one is inscribed in and the other is circums...

    Text Solution

    |

  6. Two tangents T (1) , T (2) as a pair of tangents from (-2, 0) and rad...

    Text Solution

    |

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

    Text Solution

    |

  8. The locus of the centers of the circles which cut the circles x^(2) + ...

    Text Solution

    |

  9. An equation of the tangent at the point (5,2) of a circle is given by ...

    Text Solution

    |

  10. A circle passes through the origin O and cuts the axes at A (a,0) and ...

    Text Solution

    |

  11. If a circle cuts x ^(2) + y ^(2) =a ^(2) orthogonally and passes throu...

    Text Solution

    |

  12. Two circles intersect at the point P (2,3) and the line joining the ot...

    Text Solution

    |

  13. A system of circles is draen through two fixed points (-1,0) and (1,0)...

    Text Solution

    |

  14. Find the radius of the smalles circle which touches the straight line ...

    Text Solution

    |

  15. The area of the smaller portion of the circle x^2+y^2=4 cut off the l...

    Text Solution

    |

  16. Find the equation of the normal to the circle x^2+y^2-2x=0 parallel to...

    Text Solution

    |

  17. The chord along the line y-x=3 of the circle x^2 + y^2 = k^2, subtends...

    Text Solution

    |

  18. (C) 2 45. Three concentric circles of which the biggest is x^2+ y^2= 1...

    Text Solution

    |

  19. Radius of the circle centred at (3,-2) , or maximum area contained in ...

    Text Solution

    |

  20. Equation of a family of circles, such that each member of the gamily p...

    Text Solution

    |