Home
Class 12
MATHS
If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) ...

If `sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab))`,
then prove that `b^(2)x^(2)+2xy sqrt(a^(2)b^(2)-c^(4)) +a^(2)y^(2)=c^(4)`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER 13

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

  • MODEL QUESTION PAPER 19

    SHARAM PUBLICATION|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

Solve: sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x .

If "sin"^(-1)(2a)/(1+a^(2))-"cos"^(-1)(1-b^(2))/(1+b^(2))="tan"^(-1)(2x)/(1-x^(2)) , then prove that x=(a-b)/(1+ab) .

If y=(sin^(-1)x)/(sqrt(1-x^(2))) , the prove that (1-x^(2))(d^(2)y)/(dx^(2))-3x(dy)/(dx)-y=0 .

Solve: "sin"^(-1)((2a)/(1+a^2) )+"sin"^(-1)((2b)/(1+b^2)) = 2"tan"^(-1) x

If y = sin(mcos^(-1)x) then prove that (1-x^(2))y_(2)-xy_(1)+m^(2)y=0 .

Solve "sin"^(-1)((2a)/(1+a^(2)))+"sin"^(-1)((2b)/(1+b^(2)))=2"tan"^(-1)x

SHARAM PUBLICATION-MODEL QUESTION PAPER 14-EXERCISE
  1. Find the extreme values of the function y = X + 1/x.

    Text Solution

    |

  2. int0^1(x^5(4-x^2))/sqrt(1-x^2)dx

    Text Solution

    |

  3. Integrate the following intsec^2sqrtx/sqrtxdx

    Text Solution

    |

  4. intx^2tan^-1xdx

    Text Solution

    |

  5. Solve (dy)/(dx)+y=e^(-x)

    Text Solution

    |

  6. Using vector method find the area of the triangle with vertices (1, 0,...

    Text Solution

    |

  7. Find [veca vecb vecc] when veca= hati -2hatj + 3hatk, vecb=2hati+ hatj...

    Text Solution

    |

  8. Find the image of the point (2,-1,3) in the plane 3x-2y+z-9=0

    Text Solution

    |

  9. Find the point where the line (x-2)/1=y/(-1)=(z-1)/2 meets the plane 2...

    Text Solution

    |

  10. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

    Text Solution

    |

  11. Show that the relation S defined on set N xx N by (a, b) S(c,d) rArr a...

    Text Solution

    |

  12. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

    Text Solution

    |

  13. Solve the following LPP graphically Maximize z=5x1+3x2 Subject to 3x1...

    Text Solution

    |

  14. Show that |{:((b+c)^2,a^2,a^2),(b^2,(c+a)^2,b^2),(c^2,c^2,(a+b)^2):}...

    Text Solution

    |

  15. Examining consistency and solvability, solve the following equation by...

    Text Solution

    |

  16. Find the point on the curve y^2-x^2 + 2x-1= 0 where the tangent is par...

    Text Solution

    |

  17. Find the maximum of the function f(x)=(1/x)^x

    Text Solution

    |

  18. Find intx^2(sin^4x+cos^4x)dx

    Text Solution

    |

  19. solve:(1+y^2)xdx+(1-x^2)ydy=0

    Text Solution

    |

  20. Prove that the two lines whose direction cosines are connected by the ...

    Text Solution

    |