Home
Class 12
MATHS
The graph represented by the equations x...

The graph represented by the equations `x=sin ^(2) t` `y=2 cos t` is

A

a portion of a parabola

B

a parabola

C

a part of sine curve

D

a part of hyperbola

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

Two harmonic motions are represented by the equations y_1 = 10 sin(3pi t + pi/4) y_2 = 5(sin 3 pi t + sqrt3 cos 3 pi t) their amplitudes are in the ratio

A sinusoidal current is represented by the equation I=2sin100pit . Calculate Current at t=(1)/(16)s .

A progressive wave is represented by equation y = 5 sin ( 80 pi t - 0.5 pi x ) where x,y are in metre and t is in second. Find Velocity

A progressive wave is represented by equation y = 5 sin ( 80 pi t - 0.5 pi x ) where x,y are in metre and t is in second. Find Wavelength

x=sin t, y= cos 2t.

The curve represents by x=2(cos t+sin t) and y=5(cos t-sin t) is

Two waves are represented at a certain point by the equation y_1 = 10 sin 2000 pi t and y_2 = 10 sin [ 2000 pi t + (pi//2)] , for the resultant wave

If x = sin t, y = cos pt then...

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The area of the quadrilateral formed by the tangents at the end points...

    Text Solution

    |

  2. A tangent is drawn at the point (3 sqrt(3) cos theta, sin theta) for 0...

    Text Solution

    |

  3. The graph represented by the equations x=sin ^(2) t y=2 cos t is

    Text Solution

    |

  4. The centre of the ellipse ((x+y-2)^(2))/(9)+((x-y)^(2))/(16)=1 is

    Text Solution

    |

  5. If (x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))...

    Text Solution

    |

  6. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

    Text Solution

    |

  7. If the major axis of an ellipse is 3 times its minor axis its ecentric...

    Text Solution

    |

  8. A circle described with minor axis of an ellipse as a diameter. If the...

    Text Solution

    |

  9. The equation of the ellipse whose one focus is at (4,0) and whose ecce...

    Text Solution

    |

  10. The eccentricity of the ellipse 5 x^(2)+9 y^(2)=1 is

    Text Solution

    |

  11. The curve represents by x=2(cos t+sin t) and y=5(cos t-sin t) is

    Text Solution

    |

  12. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-18 x-20 y-16=0 is

    Text Solution

    |

  13. The eccentricity of the conic 36 x^(2)+144 y^(2)-36 x-96 y-119=0 is

    Text Solution

    |

  14. The sides of the rectangle of greatest area that can be inseribed in t...

    Text Solution

    |

  15. Equation of latus recta of the ellipse 9 x^(2)+4 y^(2)-18 x-8 y-23=0...

    Text Solution

    |

  16. On the ellipse 4 x^(2)+9 y^(2)=1, the point at which the tangent are p...

    Text Solution

    |

  17. Equation of the circle passing through the intersection of ellipses (x...

    Text Solution

    |

  18. If the foci of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and the hype...

    Text Solution

    |

  19. The point (4,-3) with respect to the ellipse 4 x^(2)+5 y^(2)=1

    Text Solution

    |

  20. Length of the axes of the conic 9 x^(2)+4 y^(2)-6 x+4y+1=0 are

    Text Solution

    |