Home
Class 12
MATHS
If sec((x+y)/(x-y))=a , prove that (dy)/...

If `sec((x+y)/(x-y))=a` , prove that `(dy)/(dx)=y/x` .

A

`x/y`

B

`y/x`

C

y

D

x

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • GGSIPU MATHMATICS 2011

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|46 Videos
  • GGSIPU MATHMATICS 2013

    IPUCET PREVIOUS YEAR PAPERS|Exercise MCQs|41 Videos

Similar Questions

Explore conceptually related problems

If sec((x+y)/(x-y))=a,quad prove that (dy)/(dx)=(y)/(x)

If (x-y)e^((x)/(x-y))=a, prove that (dy)/(dx)+x=2y

If (x-y)x^((x)/(x-y))=a, prove that y(dy)/(dx)+x=2y

If (x-y)e^((x)/(x-y))=a, Prove that y(dy)/(dx)+x=2y

Solve the below If sec((x+y)/(x-y))=a^(2) , then (dy)/(dx)=

If sec^(-1)((x+y)/(x-y))=a^(2) , show that (dy)/(dx)=(y)/(x) .

If y=(x)/(x+2), prove that x(dy)/(dx)=(1-y)y

If sec ((x+y)/( x-y))=a^(2) ,then (dy)/(dx) =

If x^(m)y^(n)=(x+y)^(m+n), prove that (dy)/(dx)=(y)/(x)

If x^(m)y^(n)=(x+y)^(m+n), prove that (dy)/(dx)=(y)/(x)

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHMATICS 2012-MCQs
  1. If overline X is the mean of a distribution of X, then under usual not...

    Text Solution

    |

  2. Two cards are drawn successively with replacement from a well-shuffled...

    Text Solution

    |

  3. If sec((x+y)/(x-y))=a , prove that (dy)/(dx)=y/x .

    Text Solution

    |

  4. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

    Text Solution

    |

  5. For y= cos(m sin^(-1)x), which of the following is true?

    Text Solution

    |

  6. If f (x) = {{:(x + 1 , x le 1), (3 - ax^(2) ,x gt 1):} is continuous ...

    Text Solution

    |

  7. underset(x to (pi)/(2))(lim)(a^(cot x) -a^(cosx))/(cot x- cot x ) is ...

    Text Solution

    |

  8. If f''(0)=k,kne0, then the value of lim(xto0)(2f(x)-3f(2x)+f(4x))/(x^...

    Text Solution

    |

  9. If g is the inversefunction of f and f’ (x ) = (1)/( 1 + x^(n)) then ...

    Text Solution

    |

  10. The curves 4x^2+9y^2=72 and x^2-y^2=5a t(3,2) touch each other (b)...

    Text Solution

    |

  11. The velocity in m/s of a particle is proportional to the cube of the t...

    Text Solution

    |

  12. The minimum value of x\ (log)e x is equal to e (b) 1//e (c) -1//e (d) ...

    Text Solution

    |

  13. A particle moves along the x-axis so that its position is given x = 2t...

    Text Solution

    |

  14. A stone thrown vertically upwards satisfies the equations s = 80t –16t...

    Text Solution

    |

  15. If f (x+ y) = f(x) , f(y) , f(3) = 3 , f'(0) = 11 . Then f'(3) is equa...

    Text Solution

    |

  16. If y = x tan y , then (dy)/(dx) is equal to

    Text Solution

    |

  17. The product of the lengths ofsubtangent and subnormal at any point x,y...

    Text Solution

    |

  18. The equation to the tangent to (x/a)^n + (y/b)^n = 2 at (a,b)

    Text Solution

    |

  19. The value of int(0)^(oo) (dx)/((x^(2)+4)(x^(2)+9) ) is

    Text Solution

    |

  20. int e^(a log x) + e^( x log a) dx is equal to

    Text Solution

    |