Home
Class 12
MATHS
If y=(tan^(-1)x)^(2) show that (x^(2)+1)...

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

A

4

B

0

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • K-CET- MATHEMATICS - 2017

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos

  • K-CET-MATHEMATICS -2018

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|58 Videos

Similar Questions

Explore conceptually related problems

If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) + 2x(x^2 + 1)(dy)/(dx) = 2

If y= ( sin^(-1) x)^(2) , show that (1-x^(2) ) (d^2 y)/( dx^2) - x (dy)/(dx) =2

If y=(sin^(-1)x) . Show that (1-x^(2)) (d^(2)y)/(dx^(2))-x((dy)/(dx))=0

If y=e^(a cos^(-1)x),-2lexle1 , show that (1-x^(2))(d^(2)y)/(dx^(2))-xdy/dx-a^(2)y=0

y= sin ^(-1)x show that (1-x^2) (d^2 y)/(dx^2) -x (dy)/(dx) =0

If y=tan^(-1)sqrt(x^(2)-1) , then the ratio (d^(2)y)/(dx^(2)):(dy)/(dx)=

If y=tan^(-1)sqrt(x^(2)-1) , then the ratio (d^(2)y)/(dx^(2)):(dy)/(dx)=

SUNSTAR PUBLICATION-K-CET-MATHEMATICS - 2014-MCQs
  1. Which one of the following is not correct for the features of exponent...

    Text Solution

    |

  2. If y = (1+x)(1+x^(2))(1+x^(4)), then (dy)/(dx) at x = 1 is

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x)=x^(3) and g(x)=x^(3)-4x in -2lt x lt 2, then consider the stat...

    Text Solution

    |

  5. Which of the following is not a correct statement?

    Text Solution

    |

  6. If the function f(x) satisfies lim(x rarr 1) (f(x) - 2)/(x^(2) - 1) = ...

    Text Solution

    |

  7. The tangent to the curvey y = x^(3) + 1 at (1, 2) makes an angle theta...

    Text Solution

    |

  8. If the function f(x) defined as f(x) = (x^(100))/(100) + (x^(99))/(99)...

    Text Solution

    |

  9. If f(x)=f(pi + e - x) and int(e)^(pi)f(x)dx=(2)/(e + pi), then int(e)^...

    Text Solution

    |

  10. If linear function f(x) and g(x) satisfy int[(3x-1) cos x + (1-2x)si...

    Text Solution

    |

  11. The value of the integral int(-pi//4)^(pi//4) log (sec theta - tan the...

    Text Solution

    |

  12. int(sin 2x)/(sin^(2)x + 2 cos^(2)x) dx =

    Text Solution

    |

  13. Let R be the set of all real numbers. A relation R has been defined on...

    Text Solution

    |

  14. For any two real numbers, an operation * defined by a *b = 1 + ab is

    Text Solution

    |

  15. Let f:NtoNdefined by : f(n)={:{((n+1)/(2) "if n is odd"),((n)/(2) "if ...

    Text Solution

    |

  16. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  17. The domain of the function f(x)=sqrt(cosx) is :

    Text Solution

    |

  18. In a class of 60 students, 25 students play cricket, 20 students play ...

    Text Solution

    |

  19. Given 0 le x le (1)/(2) then the value of tan[sin^(-1){(x)/(sqrt(2)) +...

    Text Solution

    |

  20. The value of sin(2 sin^(-1) 0.8) is equal to

    Text Solution

    |