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 a sine graph

D

a part of hyperbola

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 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-PARABOLA-QUESTION BANK
  1. The parabola (y+1)^(2)=a(x-2) passes through the point (1,-2) . The eq...

    Text Solution

    |

  2. Two tangents are drawn from the point (-2,-1) to the parabola y^(2)=4 ...

    Text Solution

    |

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

    Text Solution

    |

  4. If P S P^(prime) is a focal chord of the parabola y^(2)=4 a x and S L ...

    Text Solution

    |

  5. The tangents at the points (a t(1)^(2), 2 a t(1)), (a t(2)^(2), 2 a t(...

    Text Solution

    |

  6. Axis of the parabola x^(2)-3 y-6 x+6=0 is

    Text Solution

    |

  7. If x+y+1=0 touches the parabola y^(2)=lambda x then lambda=

    Text Solution

    |

  8. The equation of the directrix to the parabola y^(2)-2 x-6 y-5=0 is

    Text Solution

    |

  9. The vertex of the parabola x^(2)+12 x-9 y=0 is

    Text Solution

    |

  10. The focus of the parabola y^(2)-4 y-8 x+4=0 is

    Text Solution

    |

  11. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

    Text Solution

    |

  12. The line 4 x+6 y+9=0 touches the parabola y^(2)=4 x at the point

    Text Solution

    |

  13. The vertex of the parabola x^(2)+8 x+12 y+4=0 is

    Text Solution

    |

  14. If the normal to the parabola y^(2)=4 x at P(1,2) meets' the parabola ...

    Text Solution

    |

  15. The length of the latus rectum of the parabola y^(2)+8 x-2 y+17=0 is

    Text Solution

    |

  16. The equation of the parabola with the focus (3,0) and the directrix x+...

    Text Solution

    |

  17. The equation of the parabola with focus (0,0) and directrix x+y=4 is

    Text Solution

    |

  18. The parabola with the directrix x+2 y-1=0 and focus (1,0) is

    Text Solution

    |

  19. The line among the following, that touches the parabola y^(2)=4 a x is

    Text Solution

    |

  20. If a point P moves such that its distance from the point A(1,1) and th...

    Text Solution

    |