Home
Class 12
MATHS
e^xlogy=sin^(-1)x+sin^(-1)y...

`e^xlogy=sin^(-1)x+sin^(-1)y`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The differential sin^(-1) x + sin^(-1) y = 1 , is

f(x)=sin^(-1)[e^(x)]+sin^(-1)[e^(-x)] where [.] greatest integer function then

If tan ^(-1) x + tan ^(-1) .sqrt( 1 - y^(2))/y = pi/3 " and " sin^(-1) y - cos^(-1) ( x/(sqrt( 1 + x^(2)))) = pi/6 " , then " ( 5 sin^(-1) x)/( sin^(-1) y) is

If sin^(-1) x + sin^(-1) y = pi/2 , prove that x sqrt(1-y^2) + y sqrt(1-x^2) =1 .

If sin^(-1)x+sin^(-1)y+sin^(-1)z=pi , prove that: xsqrt(1-x^2)+ysqrt(1-y^2)+zsqrt(1-z^2)=2x y z

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 , then write the value of x+y+z .

If sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2, find the value of x^2+y^2+z^2

Let x ,\ y ,\ z in [-1,\ 1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=(3pi)/2 . Find the value of x^(2018)+y^(2019)+z^(2020)

If x , y , z in [-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/2, find the value of x^2+y^2+z^2dot

If x , y , z in [-1,1] such that sin^(-1)x+sin^(-1)y+sin^(-1)z=-(3pi)/2, find the value of x^2+y^2+z^2dot

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If two events Aa n dB are such that P(A^o)=0. 3 ,P(B)=0. 4 ,a n dP(...

    Text Solution

    |

  2. If ' a ' is a natural number and ' b ' a digit such that(3a+2007)^2=4b...

    Text Solution

    |

  3. e^xlogy=sin^(-1)x+sin^(-1)y

    Text Solution

    |

  4. Consider an ellipse E ,(x^2)/(a^2)+(y^2)/(b^2)=1 , centered at point O...

    Text Solution

    |

  5. Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

    Text Solution

    |

  6. In the expansion of (x+y+z)^(20), which of the followign is False?

    Text Solution

    |

  7. If 1, z1,z2,.......,z6 are the 7th roots of unity then the value of (...

    Text Solution

    |

  8. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  9. Statement 1: The range of f(x)=sin^(2)x-sinx+1 is [3/4,oo). Statemen...

    Text Solution

    |

  10. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1...

    Text Solution

    |

  11. Find number of values of complex numbers omega satisfying the system o...

    Text Solution

    |

  12. Make the following expressions free from modulus sign: (x in R) |2x-...

    Text Solution

    |

  13. Simplify (sqrt5-sqrt2)(sqrt5+sqrt2)

    Text Solution

    |

  14. If (1+x+x^2)^n=a0+a1x+a2x^2+....+a(2n)x^(2n), then a0+a2+a4+.....+a(2n...

    Text Solution

    |

  15. Make the following expressions free from modulus sign : (x in R) (...

    Text Solution

    |

  16. Simplify the following expressions : (sqrt5-sqrt2)(sqrt5+sqrt2)

    Text Solution

    |

  17. The possible number of ordered triplets (m, n, p) where m,np in N is (...

    Text Solution

    |

  18. Evaluate the following: 4!-3!

    Text Solution

    |

  19. Let O be an interior points of triangleABC such that vec(OA)+vec(OB)+3...

    Text Solution

    |

  20. Make the following expressions free from modulus sign: (x in R) |x^2...

    Text Solution

    |