Home
Class 12
MATHS
An equation of a circle touching the axe...

An equation of a circle touching the axes of coordinates and the line `x cos alpha+ y sin alpha = 2` can be

A

`2 ( cos alpha + sin alpha + 1) ^(-1)`

B

`2 (cos alpha - sin alpha +1) ^(-1)`

C

`2 (cos alpha + sin alpha -1) ^(-1)`

D

`-2 ( cos alpha - sin alpha -1) ^(-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 SOLVED EXAMPLES (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )|17 Videos
  • CIRCLES AND SYSTEMS OF CIRCLES

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (CONCEPT - BASED ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|20 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

If the point (3, 4) lies on the locus of the point of intersection of the lines x cos alpha + y sin alpha =a and x sin alpha - y cos alpha =b ( alpha is a variable), the point (a, b) lies on the line 3x-4y=0 then (a^(2)-b^(2))/2 is equal to

Find the condition that the line x cos alpha+y sin alpha=p touches the parabola y^(2)=4ax

Condition when variable is involved : (ii) Find the locus of point of intersection of the lines x cos alpha+y sin alpha=a and x sin alpha-y cos alpha=b where b is the variable.

Find the equation of the circle which touches the coordinate axes and whose centre lies on the line x-2y=3

The circle that can be drawn to touch the coordinate axes and the line 4x + 3y =12 cannot lie in

The equation of the circle and its chord are- respectively x^(2)+y^(2)=a^(2) and x cos alpha+y sin alpha=p. The equation of the circle of which this chord isa diameter is

The equation of the circle which touches the axes at a distances 5 from the origin is y^(2) +x^(2) - 2alphax - 2alphay + alpha^(2) = 0 What is the value of alpha ?

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -SOLVED EXAMPLES (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. The equations of the tangents drawn from the origin to the circle x^2 ...

    Text Solution

    |

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

    Text Solution

    |

  3. An equation of a circle touching the axes of coordinates and the line ...

    Text Solution

    |

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

    Text Solution

    |

  5. The centres of a set of circles, each of radius 3, lie on the circle x...

    Text Solution

    |

  6. If a circle passes through the point (a,b) and cuts the circle x^(2)+y...

    Text Solution

    |

  7. Consider a family of circles which are passing through the point (-...

    Text Solution

    |

  8. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  9. A circle touches the x-axis and also touches the circle with center (...

    Text Solution

    |

  10. Three distinct points A, B and C are given in the 2–dimensional coor...

    Text Solution

    |

  11. Let A(1, 2), B(3, 4) be two points and C(x, y) be a point such that ar...

    Text Solution

    |

  12. A circle touches y-axis at (0,3) and makes an intercept of 2 units on ...

    Text Solution

    |

  13. Equation of the circle which circumscribes the square formed by the li...

    Text Solution

    |

  14. If the centre of the circle passing through the origin and the point o...

    Text Solution

    |

  15. If P and Q are the points of intersection of the circles x^2+""y^2+...

    Text Solution

    |

  16. Equation of circle passing through (1,5) and (4,1) and touching y-axi...

    Text Solution

    |

  17. If the circle x^(2)+y^(2)=4x+8y+5 intersects the line 3x-4y=m at two d...

    Text Solution

    |

  18. The equation of the circle passing through the point (1,0) and (0,1) a...

    Text Solution

    |

  19. The two circles x^(2)+y^(2)=ax and x^(2)+y^(2)=c^(2)(c gt 0) touch eac...

    Text Solution

    |

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

    Text Solution

    |