Home
Class 12
MATHS
Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=...

Statement 1: If `e^(xy)+ln(xy)+cos(xy)+5=0,` then `(dy)/(dx)=-y/x`.
Statement 2: `d/(dx)(xy)0,y` is a function of `ximplies(dy)/(dx)=-y/x`.

A

Statement 1: is True, Statement 2 is True , Statement 2 is a correct explanation for statement 1

B

Statement 1 is True, Statement 2 is True Statement 2 is NOT a correct explanation for Statement 1

C

Statement 1 is True, Statement 2 is False

D

Statement 1 is False, Statement 2 is True

Text Solution

Verified by Experts

The correct Answer is:
A
Statement 1: `e^(xy)+ln(xy)+cos(xy)+5=0`
Diff. w.r.t to `x(e^(xy)+1/(xy)-sinxy)d/(dx)(xy)=0`
`impliesd/(dx)(xy)=0impliesy+x(dy)/(dx)=0implies(dy)/(dx)=- y/x`.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x . Statement 2: d/(dx)(xy)=0,y is a function of x implies(dy)/(dx)=-y/x .

If e^(x-y)+log xy+xy=0, then (dy)/(dx) is

If y+d/(dx)(xy)=x(sinx+logx) , find y(x) .

If y+(d)/(dx)(xy)=x(sin x+log x), find y(x)

Solve the differential equation (dy)/(dx)=1-x+y-xy

Differentiation OF term F(xy) +Y.y(x.y)

differentiation OF term F(xy) +Y.y(x.y)

(dy)/(dx) = (xy+y)/(xy+x) , then the solution of differential equation is

Solve the differential equation : (dy)/(dx)=(x^(2)-y^(2))/(xy) .

RESONANCE-TEST PAPERS-MATHEMATICS
  1. The range of the function f(x)=2+x-[x-3] is, (where [.] denotes greate...

    Text Solution

    |

  2. If x=9 is the chord of contact of the hyperbola x^2-y^2=9 then the equ...

    Text Solution

    |

  3. Statement 1: If e^(xy)+ln(xy)+cos(xy)+5=0, then (dy)/(dx)=-y/x. Stat...

    Text Solution

    |

  4. A spherical balloon is expanding. If the radius in increasing at the r...

    Text Solution

    |

  5. Let D(r) = |(a,2^(r),2^(16) -1),(b,3(4^(r)),2(14^(16) -1)),(c,7(8^(r))...

    Text Solution

    |

  6. Let veca and vecb be unit vectors such that |veca+vecb|=sqrt(3), then ...

    Text Solution

    |

  7. lim(xrarroo) (e^(1/x^(2))-1)/(2tan^(1)(x^(2))-pi)=

    Text Solution

    |

  8. The equation of the tangent to the curve y=sqrt(9-2x^(2)) at the point...

    Text Solution

    |

  9. Let P and Q be two statements, then ~(~P^^Q)^^(PvvQ) is logically equi...

    Text Solution

    |

  10. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

    Text Solution

    |

  11. If sum(i=1)^(15)x(i)=45,A=sum(i=1)^(15)(x(i)-2)^(2) B=sum(i=1)^(15)(...

    Text Solution

    |

  12. If f(x)=sin|x|-e^(|x|) then at x=0,f(x) is

    Text Solution

    |

  13. If y=f((2x-1)/(x^(2)+1)) and f^'(x)=sinx^(2), then (dy)/(dx) is equal ...

    Text Solution

    |

  14. The no. of solutions of the equation a^(f(x)) + g(x)=0 where a>0 , and...

    Text Solution

    |

  15. Statement 1: If AnnB=phi then n((AxxB)nn(BxxA))=0 Statement 2: A-(Bu...

    Text Solution

    |

  16. Angle between diagonals of a parallelogram whose side are represented ...

    Text Solution

    |

  17. The distance between the origin and the normal to the curve y=e^(2x)+x...

    Text Solution

    |

  18. The function f(x)=1+x(sinx)[cosx], 0ltxlepi//2, where [.] denotes grea...

    Text Solution

    |

  19. Consider the following statements Statement 1: The range of log(1)(1/...

    Text Solution

    |

  20. System of equations x+2y+z=0, 2x+3y-z=0 and (tantheta)x+y-3z=0 has non...

    Text Solution

    |