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

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 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

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Evaluate int0^1frac[ln(1+x)][1+x^2]dx

    Text Solution

    |

  2. Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...

    Text Solution

    |

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

    Text Solution

    |

  4. Solve the following LPP graphically Maximizez=20x+10y Subject to x+2...

    Text Solution

    |

  5. A variable plane meets the coordinate axes at A, B, C and is at a cons...

    Text Solution

    |

  6. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  7. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

    Text Solution

    |

  8. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

    Text Solution

    |

  9. Solve the following system of equations by matrix method x+2y+3z=8, 2x...

    Text Solution

    |

  10. What is the number of solution of the following system: 2x+3y=6, x+y...

    Text Solution

    |

  11. What is int(2x^2+3)/((x^2-1)(x^2+4))dx?

    Text Solution

    |

  12. Write the equation of the plane passing through the point(1,0,0),(0,2,...

    Text Solution

    |

  13. Given an example of a function which is both odd and even function.

    Text Solution

    |

  14. If abs(veca+vecb)=abs(veca-vecb)then what is the angle between vecaand...

    Text Solution

    |

  15. Find the principal value of sin^1(sin"(2pi)/3)

    Text Solution

    |

  16. Find d/dx[e^(x)+sinx/1+logx]

    Text Solution

    |

  17. What is the interval in which y=sinx,x"in[0,2pi]is increasing?

    Text Solution

    |

  18. What is the value of int-1^1xabsxdx

    Text Solution

    |

  19. If cos^-1x+cos^-1y+cos^-1z=pi, prove that x^2+y^2+z^2+2xyz=1.

    Text Solution

    |

  20. Find the domain of the functionf(x)=sqrt(log(12/(x^2-x))).

    Text Solution

    |