Home
Class 14
MATHS
If xcostheta+ysintheta=4&xcostheta-ysint...

If `xcostheta+ysintheta=4&xcostheta-ysintheta=0`, then which one is correct?

A

`x^(2)+y^(2)=4`

B

`x^(2)+y^(2)=16`

C

`(1)/(x^(2))+(1)/(y^(2))=(1)/(4)`

D

`(1)/(x^(2))+(1)/(y^(2))=4`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise EXERCISES (Multiple Choice Questions)|350 Videos

  • TIME, SPEED & DISTNACE

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS|108 Videos

Similar Questions

Explore conceptually related problems

Delta ABC, if tan A+2tan B=0, then which one is correct?

In a DeltaABC, if tanA+2tanB=0, then which one is correct?

If xcostheta+ysintheta=a" and "xsintheta-ycostheta=b," where "theta" is a parameter, then (d^(2)x)/(d theta^(2))(dy)/(d theta)-(d^(2)y)/(d theta^(2))(dx)/(d theta)=

Which one of the following is correct?

Which one of the following is correct?

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-TRIGONOMETRY -EXERCISES (Multiple Choice Questions)
  1. The point (4,3) is translated to the point (3,1) and then the axes ar...

    Text Solution

    |

  2. (cosx)/(cosy)=n,(sinx)/(siny)=m, then (m^(2)-n^(2))sin^(2)y=?

    Text Solution

    |

  3. If xcostheta+ysintheta=4&xcostheta-ysintheta=0, then which one is corr...

    Text Solution

    |

  4. If tan^(2)theta+cot^(2)theta=14, then sectheta.cosectheta=?

    Text Solution

    |

  5. If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha ...

    Text Solution

    |

  6. If tantheta-tanphi=xandcotphi-cottheta=y, then cot(theta-phi)=?

    Text Solution

    |

  7. If 3costheta=5sintheta, then ((5sintheta-2sec^(3)theta+2costheta)/(5si...

    Text Solution

    |

  8. sectheta+tantheta=2+sqrt(5), then sintheta will be

    Text Solution

    |

  9. If 3tantheta+4=0 where (pi)/(2)lt thetaltpi, then the value of 2cot th...

    Text Solution

    |

  10. If (1+sinx)/(cosx)+(cosx)/(1+sinx)=4, then find x.

    Text Solution

    |

  11. costheta(tantheta+2)(2tantheta+1)=?

    Text Solution

    |

  12. cos""(pi)/(7)+cos""(2pi)/(7)+cos""(3pi)/(7)+cos""(4pi)/(7)+cos""(5pi)/...

    Text Solution

    |

  13. (1-tan A)/(1+tan A)= (tan3^@ tan15^@ tan30^@ tan75^@ tan87^@)/(tan27^@...

    Text Solution

    |

  14. If (1+sinx)/(cosx)+(cosx)/(1+sinx)=4, then find x.

    Text Solution

    |

  15. If cosectheta-sintheta=mandsectheta-costheta=n, then (m^(2)n)^((2)/(3)...

    Text Solution

    |

  16. If sinA+sinB=C,&cosA+cosB=D, then sin(A+B)=?

    Text Solution

    |

  17. If sinA=(1)/(sqrt(10))andsinB=(1)/(sqrt(5)), where A and B are positiv...

    Text Solution

    |

  18. cos^(2)48^(@)-sin^(2)12^(@)=?

    Text Solution

    |

  19. sin((pi)/(10))sin((3pi)/(10))=?

    Text Solution

    |

  20. If tanA-tanB=x and cotB-cotA=y, then cot(A-B)=?

    Text Solution

    |