Home
Class 12
MATHS
y = (sin^(-1)x)^(2) + (cos^(-1)x)^(2), t...

`y = (sin^(-1)x)^(2) + (cos^(-1)x)^(2)`, then `(1-x^(2))y_(2)-xy_(1) =`

A

0

B

1

C

4

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

y = sin^(-1)((2x)/(1 + x^2))

If y = sin^(-1) ((1-x^(2))/(1+x^(2))) , then dy/dx =

If y=(tan^(-1)x)^(2) show that (x^(2)+1)^(2)y_(2)+2x(x^(2)+1)y_(1)=2

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If x = e^(t) .cos 2t, (d^(2)y)/(dx^(2) at t = pi/2 is

    Text Solution

    |

  2. If x = e^(2t).cos 3t, (d^(2)y)/(dx^(2) at pi/2 is

    Text Solution

    |

  3. y = (sin^(-1)x)^(2) + (cos^(-1)x)^(2), then (1-x^(2))y(2)-xy(1) =

    Text Solution

    |

  4. If f(a) = 2 , f ' (a) = 1 , g (a) = -1 , g'(a) = 2 , then lim(x to a) ...

    Text Solution

    |

  5. If f(x) = e^(x) . g(x), g(0) = 4 and g^(')(0) =2, then f^(')(0) =

    Text Solution

    |

  6. If y = x-x^(2) then the derivative of y^(2) w.r.t x^(2) is

    Text Solution

    |

  7. If x^(2)+y^(2) = t +1/t and x^(4)+y^(4) = t^(2) + 1/t^(2) then dy/dx

    Text Solution

    |

  8. If y = e^(tan x), then cos^(2)x . (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  9. d/dx {cos^(-1)x + sin^(-1)x}=

    Text Solution

    |

  10. If y = log (sec x + tan x), then dy/dx =

    Text Solution

    |

  11. If x = sin^(-1) (3t-4t^(3)) and y = cos^(-1) sqrt(1-t^(2)), and -1/2 l...

    Text Solution

    |

  12. If y = sin^(-1) sqrt((x-1)/(x+1) ) + sec^(-1) sqrt((x+1)/(x-1)) then d...

    Text Solution

    |

  13. If f(x) = log (tan x), then f^(')(x) =

    Text Solution

    |

  14. If f(x) is an even function , then f'(x) is

    Text Solution

    |

  15. If f(x) is an odd function, then f^(')(x)

    Text Solution

    |

  16. If f(x) is an even funiction and f (x) exists , then f' (e ) + f' (- e...

    Text Solution

    |

  17. If f(x) is a differentiable even function, defined on (-oo, oo) and f^...

    Text Solution

    |

  18. If y = f(x) is an odd function, which is differentiable, defined on (-...

    Text Solution

    |

  19. Let f(x) be a polynomial function such that f(x). f(1/x) = f(x) + f(1/...

    Text Solution

    |

  20. Let f be a function defined for all x in R. If f is differentiable and...

    Text Solution

    |