Home
Class 10
MATHS
If x=acostheta and y=bsintheta , then b^...

If `x=acostheta` and `y=bsintheta` , then `b^2x^2+a^2y^2=`
(a)`a^2b^2`
(b) `a b`
(c) `a^4\ b^4`
(d) `a^2+b^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos
  • TRIGONOMETRIC RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

If x=asectheta and y=btantheta , then b^2x^2-a^2y^2= (a) a b (b) a^2-b^2 (c) a^2+b^2 (d) a^2b^2

If x=acostheta , y=bsintheta , show that (d^2y)/(dx^2)=-(b^4)/(a^2y^3) .

If acostheta+bsintheta=m and asintheta-bcostheta=n , then a^2+b^2= (a) m^2-n^2 (b) m^2n^2 (c) n^2-m^2 (d) m^2+n^2

If x=acostheta-bsinthetaandy=asintheta+bcostheta , then show that : x^(2)+y^(2)=a^(2)+b^(2)

If acostheta+bsintheta=4 and asintheta-bcostheta=3 , then a^2+b^2 = (a) 7 (b) 12 (c) 25 (d) None of these

If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+b^2=x^2+y^2

If (a , b) is the midpoint of a chord passing through the vertex of the parabola y^2=4x , then (a) a=2b (b) a^2=2b (c) a^2=2b (d) 2a=b^2

If acostheta-bsintheta=c , then asintheta+bcostheta= (a) +-sqrt(a^2+b^2+c^2) (b) +-sqrt(a^2+b^2-c^2) (c) +-sqrt(c^2-a^2-b^2) (d) None of these

Area of the quadrilateral formed with the foci of the hyperbola x^2/a^2-y^2/b^2=1 and x^2/a^2-y^2/b^2=-1 (a) 4(a^2+b^2) (b) 2(a^2+b^2) (c) (a^2+b^2) (d) 1/2(a^2+b^2)

The radius of the circle whose equation in parametric form is P(theta)=(acostheta+bsintheta,asintheta-bcostheta), is : (a+b)/2 (b) sqrt(a b) sqrt(a^2+b^2) (d) (a b)/(a+b)

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. The value of (1+cottheta-cos e c\ theta)(1+tantheta+sectheta) is (a...

    Text Solution

    |

  2. (tantheta)/(sectheta-1)+(tantheta)/(sectheta+1) is equal to (a)2tanth...

    Text Solution

    |

  3. (cos e c\ theta-sintheta)(sectheta-costheta)(tantheta+cottheta) is equ...

    Text Solution

    |

  4. If x=acostheta and y=bsintheta , then b^2x^2+a^2y^2= (a)a^2b^2 (b) ...

    Text Solution

    |

  5. If x=asectheta and y=btantheta , then b^2x^2-a^2y^2= (a)a b (b) a^2...

    Text Solution

    |

  6. (cottheta)/(cottheta-cot3theta) + tantheta/(tantheta-tan3theta) is equ...

    Text Solution

    |

  7. 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) is equal to (a)0 (...

    Text Solution

    |

  8. If acostheta+bsintheta=4 and asintheta-bcostheta=3 , then a^2+b^2 = (...

    Text Solution

    |

  9. If acottheta+b"c o s e c"theta=p and bcottheta+a"c o s e c"theta=q , t...

    Text Solution

    |

  10. The value of sin^2 29o+sin^2 61o is (a) 1 (b) 0 (c) 2sin^2 29o (d) ...

    Text Solution

    |

  11. If x=rsinthetacosvarphi , y=rsinthetasinvarphi and z=rcostheta , then ...

    Text Solution

    |

  12. If sintheta+sin^2theta=1 , then cos^2theta+cos^4theta= (a)-1 (b) 1 ...

    Text Solution

    |

  13. If acostheta+bsintheta=m and asintheta-bcostheta=n , then a^2+b^2= (...

    Text Solution

    |

  14. If cosA+cos^2A=1 , then sin^2A+sin^4A= (a)-1 (b) 0 (c) 1 (d) None...

    Text Solution

    |

  15. If x=asecthetacosvarphi , y=bsecthetasinvarphi and z=ctantheta , then ...

    Text Solution

    |

  16. If acostheta-bsintheta=c , then asintheta+bcostheta= (a)+-sqrt(a^2+b^...

    Text Solution

    |

  17. 9sec^2A-9tan^2A is equal to (a) 1 (b) 9 (c) 8 (d) 0

    Text Solution

    |

  18. (1+tanθ+secθ)( 1+cotθ−cosec θ )=   (a) 0               (b) 2        ...

    Text Solution

    |

  19. ( secA+tanA )( 1−sinA )= (a)secA (b) sinA (c) cosec A (d...

    Text Solution

    |

  20. (1+tan^2A)/(1+cot^2A) is equal to sec^2A (b) -1 (c) cot^2A (d) tan^2A

    Text Solution

    |