Home
Class 12
MATHS
If {:[(e^x,e^y),(e^y, e^x)]=[(1,1),(1,1)...

If `{:[(e^x,e^y),(e^y, e^x)]=[(1,1),(1,1)]`, then the values of x and y are respectively

A

`-1,-1`

B

1,1

C

0,0

D

1,0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

  • LINEAR PROGRAMMING

    MODERN PUBLICATION|Exercise EXERCISE|156 Videos

  • MOCK TEST-1

    MODERN PUBLICATION|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

If [[e^x,e^y],[e^y,e^x]] = [[1,1],[1,1]] then (x,y) = ___________

Suppose A=(dy)/(dx) of x^(2)+y^(2)=4 at (sqrt2,sqrt2), B=(dy)/(dx) of sin y+sinx=sinx.siny at (pi,pi)andC=(dy)/(dx) of 2e^(xy)+e^(x).e^(y)-e^(x)-e^(y)=e^(xy+1) at (1,1), then (A-B-C) has the value equal to.......

L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)) ,then find x.

If y = (e^x - e^-x)/(e^x + e^-x) , then dy/dx =

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

Let E1 and E2, be two ellipses whose centers are at the origin.The major axes of E1 and E2, lie along the x-axis and the y-axis, respectively. Let S be the circle x^2 + (y-1)^2= 2 . The straight line x+ y =3 touches the curves S, E1 and E2 at P,Q and R, respectively. Suppose that PQ=PR=[2sqrt2]/3 .If e1 and e2 are the eccentricities of E1 and E2, respectively, then the correct expression(s) is(are):

(x^2 + y^2) dy = xy dx. If y(x_0) = e , y (1) = 1, then the value of x_0 = __________.

If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f'(1)=1, then f(e) is.

Let y(x) be a solution of the differential equation (1+e^(x))y^(')+ye^(x)=1 . If y(0)=2 , then watch of the following statements is (are) true?

Let f(x)= minimum {e^(x),3//2,1+e^(-x)},0lexle1 . Find the area bounded by y=f(x) , X-axis and the line x=1.

MODERN PUBLICATION-MATRICES-EXERCISE
  1. If A = {:[(2-k,2),(1,3-k)] is a singular matirx, then the value of 5k-...

    Text Solution

    |

  2. We define a binary relation ~ on the set of all 3xx3 real matrices as ...

    Text Solution

    |

  3. If A is a 3xx4 matrix and B is a matrix such that A'B and BA' are both...

    Text Solution

    |

  4. If {:[(e^x,e^y),(e^y, e^x)]=[(1,1),(1,1)], then the values of x and y ...

    Text Solution

    |

  5. The number of 3 x 3 non-singular matrices, with four entries as 1 and ...

    Text Solution

    |

  6. The number of 3xx3 matrices A whose are ether 0 or 1 and for which t...

    Text Solution

    |

  7. If omegane1 is the complex cube root of unity and matix H = {:[(omega,...

    Text Solution

    |

  8. If A is a 3xx3 non-singular matrix such that A A' = A' A and B = A^(...

    Text Solution

    |

  9. If A=[[1,2,2],[2,1,-2],[a,2,b]] is a matrix satisfying the equation ...

    Text Solution

    |

  10. If A = [[5a, -b],[3,2]] and a "dj" A = A A^(T), then 5a+b is equal to

    Text Solution

    |

  11. Let P = {:[(1,0,0),(4,1,0),(16,4,1)] and I be te identity matrix of or...

    Text Solution

    |

  12. Write the element a12 of the matrix A = [a(ij)](2xx2) a(ij) = e^(2ix...

    Text Solution

    |

  13. If A=[(3,-3),(-3,3)] and A^2=lambdaA then find lambda.

    Text Solution

    |

  14. For what value of 'x', is the matrix: A = {:[(0,1,-2),(-1,0,3),(x,-3...

    Text Solution

    |

  15. If {:2[(3,4),(5,x)] + [(1,y ),(0,1)] = [(7,0),(10,5)], find (x-y).

    Text Solution

    |

  16. If A = [[3,1],[-1,2]], show thatA^2-5A +7I = O

    Text Solution

    |

  17. Show that A + A' is symmetric when A = {:[(2,4),(5,6)].

    Text Solution

    |

  18. By using elementary transformation, find the inverse of the matrix ...

    Text Solution

    |

  19. If A= ((-1,-4),(1,3)), then prove by Mathematical Induction that : A^n...

    Text Solution

    |

  20. Express the matrix A as the sum of a symmetric and a skew-symmetric ma...

    Text Solution

    |