Home
Class 11
MATHS
A circle of radius unity is centered at ...

A circle of radius unity is centered at thet origin. Two particles tart moving at the same time from the point `(1, 0)` and move around the circle in opposite direction. One of the particle moves anticlockwise with constant speed `v` and the other moves clockwise with constant speed `3v`. After leaving `(1, 0)`, the two particles meet first at a point `P,` and continue until they meet next at point `Q `. The coordinates of the point `Q` are

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Two particles move in the same straight line starting at the same moment from the same point in the same deirectin. The first moves with constant velocity u and the second starts from rest with constant acceletation f. Then

How can the relative velocity be determined when two particles are moving with different velocities (i) in the same direction and (ii) in opposite directions ?

If a particle moves in a circular path with constant speed, what should be the direction of its resultant acceleration?

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The locus of the center of the circle such that the point (2,3) is t...

    Text Solution

    |

  2. The value of 'c' for which the set {(x, y)|x^2+y^2+2xle1}bigcap{(x, y)...

    Text Solution

    |

  3. A circle of radius unity is centered at thet origin. Two particles tar...

    Text Solution

    |

  4. Two circles with radii a and b touch each other externally such that t...

    Text Solution

    |

  5. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  6. The straight line 2x - 3y = 1 divides the circular region x^2+y^2le6 i...

    Text Solution

    |

  7. Let A B C D be a quadrilateral with area 18 , side A B parallel to the...

    Text Solution

    |

  8. Consider a family of circle which are passing through the point (-1,1)...

    Text Solution

    |

  9. If the conics whose equations are S-=sin^2thetax^2+2h x y+cos^2thetay^...

    Text Solution

    |

  10. The range of values of lambda,(lambda>0) such that the angle theta bet...

    Text Solution

    |

  11. The equation of the lines passing through the point (1,0) and at a dis...

    Text Solution

    |

  12. f(x , y)=x^2+y^2+2a x+2b y+c=0 represents a circle. If f(x ,0)=0 has e...

    Text Solution

    |

  13. The area bounded by the curves x^2+y^2=1,x^2+y^2=4 and the pair of lin...

    Text Solution

    |

  14. The straight line xcostheta+ysintheta=2 will touch the circle x^2+y^2-...

    Text Solution

    |

  15. The centre of a circle passing through the points (0,0),(1,0)and touch...

    Text Solution

    |

  16. The locus of the centre of a circle which touches externally the circl...

    Text Solution

    |

  17. If two circles (x-1)^2+(y-3)^2=r^2 and x^2+y^2-8x+2y+8=0 intersect in ...

    Text Solution

    |

  18. Two circles each of radius 5 units touch each at (1, 2) If the equati...

    Text Solution

    |

  19. The circle which can be drawn to pass through (1, 0) and (3, 0) and to...

    Text Solution

    |

  20. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |