Home
Class 11
MATHS
x = sin theta cos theta, and y = sin the...

`x = sin theta cos theta`, and `y = sin theta +cos theta` are satisfied by which one of the following equations ?

A

`y^2-2x=1`

B

`y^2+2x=1`

C

`y^2-2x=-1`

D

`y^2+2x=-1`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

Find sin 2 theta when sin theta + cos theta= 1 .

Prove that : sin 2 theta= 2sin theta cos theta .

If cos theta < sin theta and theta lies in the first quadrant, then which one of the following is correct ?

If x = 2 cos theta - cos 2 theta, y = 2 sin theta - sin 2 theta, find dy/dx at theta = pi/2

Solve sqrt(3) cos theta-3 sin theta =4 sin 2 theta cos 3 theta .

If A = [(cos theta, sin theta),(-sin theta, cos theta)] and B = [(sin theta, - cos theta), (cos theta, sin theta)] , evaluate A cos theta + B sin theta .

If 3 sin theta + 4 cos theta=5 , then find the value of 4 sin theta-3 cos theta .

If x = a (sin theta - theta cos theta) and y = a (cos theta + theta sin theta) find dy/dx at theta = pi/4

Show that the equations of the normal at any point theta on the curve x = 3 cos theta - cos^3 theta, y = 3 sin theta - sin ^3 theta is 4(y cos^3 theta - x sin^3 theta) = 3 sin 4 theta

Find dy/dx when x = cos theta + cos 2 theta, y = sin theta + sin 2 theta)

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If cot (x+y)= 1/sqrt3, cot (x-y)= sqrt3, then what are the smallest po...

    Text Solution

    |

  2. In sinA= 1/sqrt5, cosB= 3/sqrt10, A, B being positive acute angles, th...

    Text Solution

    |

  3. x = sin theta cos theta, and y = sin theta +cos theta are satisfied by...

    Text Solution

    |

  4. A man observes the elevation of a balloon to be 30^@. He then walks 1 ...

    Text Solution

    |

  5. The number of integral values of k for which the equation 7 cos x + 5 ...

    Text Solution

    |

  6. In a triangle ABC, 2ca sin frac(A-B+C)(2)=

    Text Solution

    |

  7. The period of sin^2 theta is :

    Text Solution

    |

  8. If y = sec^2 theta+ cos^2 theta, theta ne 0, then :

    Text Solution

    |

  9. If alpha is a root of 25 cos^2 theta+ 5 cos theta- 12 = 0,pi/2 < alpha...

    Text Solution

    |

  10. If sin (alpha+beta)=1, sin (alpha-beta)=1/2, then tan (alpha+ 2beta). ...

    Text Solution

    |

  11. In a triangle ABC, tan frac (A)(2)=5/6, tan frac (C)(2)=2/5, then :

    Text Solution

    |

  12. The equation a sin x + b cos x = c, where |c| > sqrt (a^2 +b^2) has :

    Text Solution

    |

  13. In a triangle ABC, a = 4, b=3, angle A = 60^@, then c is the root of t...

    Text Solution

    |

  14. If in a triangle, a cos ^(2)""C/2+c cos ^(2)""A/2=(3b)/(2), then its s...

    Text Solution

    |

  15. The angles of a triangle are in the ratio 4: 1: 1, then the ratio of t...

    Text Solution

    |

  16. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

    Text Solution

    |

  17. If alpha, beta be such that pi < alpha- beta < 3 pi. If sin alpha +sin...

    Text Solution

    |

  18. If theta and phi are acute angles, sin theta=1/2, cos phi= 1/3, then t...

    Text Solution

    |

  19. The sides of a triangle, sin alpha, cos alpha and sqrt(1+ sin alpha co...

    Text Solution

    |

  20. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |