Home
Class 12
MATHS
if theta is a parameter then x=a ...

if ` theta ` is a parameter then `x=a ( sin theta + cos theta),`
`y=b( sin theta - cos theta )` respresents

A

an ellipse

B

a circle

C

a pair of stright lines

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|7 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA|Exercise Chapter Test|30 Videos

  • EXPONENTIAL AND LOGARITHMIC SERIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos

Similar Questions

Explore conceptually related problems

x = "cos" theta - "cos" 2 theta, y = "sin" theta - "sin" 2 theta

If (sin theta)/(x)=(cos theta)/(y) then sin theta-cos theta

If x = sin theta - cos theta and y = sin theta + cos theta , then (dy)/(dx) =

If tan theta = (x)/(y) , " then " (x sin theta + y cos theta)/( x sin theta - y cos theta) is equal to

If x= sin^(2)theta* cos theta and y=sin theta cos^(2)theta,"then" :

(sin theta+cos theta)(1-sin theta cos theta)=sin^3 theta+cos^3 theta

Eliminate theta from a sin theta + bcos theta = x "and" a cos theta -b sin theta = y

(sin theta-cos theta+1)/(sin theta+cos theta-1)=(1+sin theta)/(cos theta)

(1 + cos theta + sin theta) / (1 + cos theta-sin theta) = (1 + sin theta) / (cos theta)

OBJECTIVE RD SHARMA-ELLIPSE-Exercise
  1. If the focal distance of an end of the minor axis of an ellipse (re...

    Text Solution

    |

  2. if 2y = x and 3y + 4x=0 are the equations of a pair of conjuga...

    Text Solution

    |

  3. if theta is a parameter then x=a ( sin theta + cos theta), y...

    Text Solution

    |

  4. The distance from the foci of P (a, b) on the ellipse x^2/9+y^2/25=1 a...

    Text Solution

    |

  5. Find the equation for the ellipse that satisfies the given conditions...

    Text Solution

    |

  6. The eccentricity of the curve x^(2)-4x+4y^(2)=12 is

    Text Solution

    |

  7. The parametric representation of a point on the ellipse whose foci are...

    Text Solution

    |

  8. if S and S are two foci of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^...

    Text Solution

    |

  9. The eccentricity of the ellipse represented by 25 x^2+16 y^2-150 x-175...

    Text Solution

    |

  10. the length of the latusrectum of the ellipse 5x^(2) + 9x^(2)=45...

    Text Solution

    |

  11. The radius of the circle passing through the foci of the ellipse (x^2)...

    Text Solution

    |

  12. the eccentricity to the conic 4x^(2) +16y^(2)-24x-32y=1 is

    Text Solution

    |

  13. A set of points is such that each point is three times as far away fro...

    Text Solution

    |

  14. the foci of an ellipse are (0+-6) and the equation of the direc...

    Text Solution

    |

  15. An ellipse has its centre at (1,-1) and semi major axis =8 and it pass...

    Text Solution

    |

  16. Let L L ' be the latusrectum and S be a focus of the ellipse (x^...

    Text Solution

    |

  17. the equation of the axes of the ellispe 3x^(2)+4y^(2)+6x-8y-5=0 ...

    Text Solution

    |

  18. the equations to the directrices of the ellipse 4(x-3)^(2)+9(y+2)...

    Text Solution

    |

  19. if the vertices of an ellipse are (-12,4) and (14,4) and eccentr...

    Text Solution

    |

  20. if the coordinates of the vertices of an ellipse are (-6,1) and (...

    Text Solution

    |