Home
Class 12
MATHS
For all values of theta , the coordinate...

For all values of `theta` , the coordinates of a moving point P are `(acostheta,asintheta)`, the locus of P will be a-

A

circle

B

straight line

C

parabola

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 (Very Short Type Questions )|41 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise EXERCISE 1 ( Short Type Questions )|44 Videos
  • REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams E (Assertion - Reason Type )|2 Videos
  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos
  • SECOND ORDER DERIVATIVE

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion-Reason type)|2 Videos

Similar Questions

Explore conceptually related problems

For all values of theta , the coordinates of a moving point P are (acostheta,bsintheta) , find the equation to the locus of P.

The coordinates of a moving point P are (2t^(2) + 4, 4t + 6) , show that the locus of P is a parabola.

The coordinates of a moving point p are (2t^(2) + 4, 4t+6) . Then its locus will be a

If the coordinates of a variable point P are (acostheta,bsintheta), where theta is a variable quantity, then find the locus of Pdot

Prove that for all values of theta , the locus of the point of intersection of the lines xcostheta+ysintheta=a and xsintheta-ycostheta=b is a circle.

If p_n =cos^n theta+sin ^ntheta then the value of 2P_6-3P_4+1 will be

The numberical value of the area of the triangle formed by a moving line on the coordinate axes is 2c^(2) . Find the locus of the middle point of the portion of the line intercepted between the axes.

If the co-ordinates of a variable point P be (cos theta + sin theta, sin theta - cos theta) where theta is the perimeter, then the locus of P is :

The co-ordinates of a moving point P are. [a/2(cosectheta+sintheta)b/2(cosectheta-sintheta)] where theta is a variable parameter.Show that,the equation to the locus of P is b^2x^2-a^2y^2=a^2b^2

The coordinates of a moving point P are (at^(2),2at) , where t is a variable parameter . Find the equation to the locus of P.

CHHAYA PUBLICATION-REVISION OF PREVIOUS TWO DIMENSIONAL COORDINATE GEOMETRY -EXERCISE 1 (MCQ)
  1. The coordiantes of the centroid of the triangle fromed by the points (...

    Text Solution

    |

  2. If twice the abscissa of a point moving in the xy -plane always excee...

    Text Solution

    |

  3. For all values of theta , the coordinates of a moving point P are (aco...

    Text Solution

    |

  4. If the square of distance of a moving point from the point (2,0) is eq...

    Text Solution

    |

  5. The point P lies on 3rd quadrant and its distances from x- axis and y...

    Text Solution

    |

  6. When the origin is shifted (retaining the direction of the axis) at th...

    Text Solution

    |

  7. AB is a diameter of a circle having centre at C , if the coordinates o...

    Text Solution

    |

  8. The centroid of the triangle formed by the points (1,2),(2,4)and (-3,6...

    Text Solution

    |

  9. (a , 2b ) divides the line segment joining by the points (3a,0),(0,3b)...

    Text Solution

    |

  10. A point moves in the xy -plan such that three times its distance from...

    Text Solution

    |

  11. State in which of the following quadrants the point (sqrt(5)-3,sqrt(5...

    Text Solution

    |

  12. The coordinates of a point referred to rectangular axis overset(harr)(...

    Text Solution

    |

  13. If the points (am^(2),2am),(an^(2),2an)and(a,0) are collinaear then v...

    Text Solution

    |

  14. State which of the follwing is the distance between the points (a+b,c-...

    Text Solution

    |

  15. Which of the following is equal to the distance between the points (-1...

    Text Solution

    |

  16. the ditance between the points (x,-7) and (3,-3) is 5 unit , state whi...

    Text Solution

    |

  17. State which of the follwing are the coordinates of the mid - point of ...

    Text Solution

    |

  18. The point P divides the line -segmen joining the points A (1,5) and B(...

    Text Solution

    |

  19. A point divides the line -segment joining the points (2,-5) and (-3,-2...

    Text Solution

    |

  20. State which of the following are the coordinates of the centroid of th...

    Text Solution

    |