Home
Class 12
MATHS
alpha,beta and gamma are parametric angl...

`alpha,beta and gamma` are parametric angles of three points P, Q and R respectively, on the circle `x^2 + y^2 = 1` and A is the point (-1, 0). If the lengths of the chords AP, AQ and AR are in GP, then `cos alpha/2, cos beta/2 and cos gamma/2` are in

A

A.P.

B

G.P.

C

H.P.

D

none of these

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 (LEVEL 2 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))|30 Videos
  • 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 EXERCISE (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

Let alpha , beta , gamma parametric angles of 3 points P,Q and R respectively lying on x^(2)+y^(2)=1 . If the length of chords AP, PQ and AR are in GP where A is (-1,0), then [Given , alpha , beta ,gamma in (0,2pi)] .

If alpha,beta ,gamma are direction angles of a line , then cos 2alpha + cos 2beta + cos 2 gamma =

cos^(2) alpha +cos^(2) beta +cos^(2) gamma is equal to

If a line makes angles alpha,beta,gamma with co-ordinate axes, then cos2alpha+cos 2 beta+cos2gamma=

If alpha,beta, gamma are the direction angles of a vector and cos alpha=(14)/(15), cos beta=(1)/(3) , then cos gamma=

If a line makes angle alpha, beta and gamma with the coordinate axes respectively, then cos2alpha+cos 2 beta+cos 2gamma=

If a line makes angles alpha, beta, gamma with the coordinate axes, prove that cos2alpha + cos 2beta + cos2gamma + 1 = 0 .

If a line makes angles alpha,beta and gamma with the coordinate axes,then prove that cos2 alpha+cos2 beta+cos2 gamma=-1

MCGROW HILL PUBLICATION-CIRCLES AND SYSTEMS OF CIRCLES -EXERCISE (LEVEL 1 ( SINGLE CORRECT ANSWER TYPE QUESTIONS ))
  1. A rectangle ABCD is inscribed in the circle x^2+y^2+3x+12y+2=0 . If th...

    Text Solution

    |

  2. A line makes equal intercepts of length a on the coordinate axes. A ci...

    Text Solution

    |

  3. alpha,beta and gamma are parametric angles of three points P, Q and R ...

    Text Solution

    |

  4. P is a point on the circle x^2+y^2=9 Q is a point on the line 7x+y+3=0...

    Text Solution

    |

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

    Text Solution

    |

  6. If O Aa n dO B are equal perpendicular chords of the circles x^2+y^...

    Text Solution

    |

  7. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

    Text Solution

    |

  8. From the point A (0, 3) on the circle x^2+4x+(y-3)^2=0 a chord AB is d...

    Text Solution

    |

  9. If the lines 3x-4y+4=0a d n6x-8y-7=0 are tangents to a circle, then fi...

    Text Solution

    |

  10. If the distances from the origin of the centers of three circles x^2+y...

    Text Solution

    |

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

    Text Solution

    |

  12. A variable circle passes through the point A(a ,b) and touches the x-a...

    Text Solution

    |

  13. The locus of a point, which moves such that the lengths of the tangent...

    Text Solution

    |

  14. The circle that can be drawn to touch the coordinate axes and the line...

    Text Solution

    |

  15. Area of an equilateral triangle inscribed in a circle of radius a is

    Text Solution

    |

  16. A point P moves such that PA/PB = p where A and B are two fixed pints ...

    Text Solution

    |

  17. The lengths of the tangents from the points A and B to a circle are l...

    Text Solution

    |

  18. Two circles which pass through the points A(0, a), B (0,-a) and touch ...

    Text Solution

    |

  19. No portion of the circle x ^(2) + y^(2) - 16x + 18y + 1=0 lies in the

    Text Solution

    |

  20. The geometrical mean between the smallest and greatest distance of the...

    Text Solution

    |