Home
Class 12
MATHS
If x sin (a+y) + sin a cos (a+y) = 0, th...

If x sin (a+y) + sin a cos (a+y) = 0, then prove that : `dy/dx = (sin^2(a+y))/(sina)`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos

  • MOCK TEST-2

    MODERN PUBLICATION|Exercise EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

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

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

If x cos (a+y) = cos y, then prove that dy/dx = (cos^2(a+y))/(sina) Hence, show that sina(d^2y)/(dx^2)+ sin 2(a+y) (dy)/(dx) = 0

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

If siny = xsin(a+y) , prove that dy/dx=sin^2(a+y)/sina

If cosy = xcos(a+y) , with cos a ne +-1 , prove that dy/dx = (cos^2(a+y))/sina

If y = x sin y, prove that x dy/dx = y/(1-x cosy)

If x cos (a + y)=cos y then prove that [dy/dx = cos^2 (a+ y) /sin a] . Hence show that [sin a (d^2y /dx^2) + sin 2(a+ y) dy/dx =0] .

MODERN PUBLICATION-MOCK TEST-1-EXERCISE
  1. Construct a 3xx4 matrix, whose elements are given by: aij = 1/2|-3i +...

    Text Solution

    |

  2. If A(ij) is the co-factor of the element a(ij) of the determinant |[2,...

    Text Solution

    |

  3. If x sin (a+y) + sin a cos (a+y) = 0, then prove that : dy/dx = (sin^...

    Text Solution

    |

  4. Prove that the function f given by f(x) = x^2-x+1 is neither strictly ...

    Text Solution

    |

  5. Find the approximate change in the volume V of a cube of side x metres...

    Text Solution

    |

  6. Evaluate int(pi//6)^(pi//3) ((1)/(1+sqrttanx dx

    Text Solution

    |

  7. Solve the following differential equations x dy + ( y - x^3) dx =0

    Text Solution

    |

  8. Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5...

    Text Solution

    |

  9. tan^-1 frac{1}{5} + tan^-1 frac{1}{7} + tan^-1 frac {1}{3} + tan^-1 fr...

    Text Solution

    |

  10. Prove that : tan^-1((cosx)/(1+sinx)) = pi/4 - x/2, x in (-pi/2,pi/2)

    Text Solution

    |

  11. Show that if A = [[cos theta, sin theta],[-sin theta, cos theta]], th...

    Text Solution

    |

  12. Using the properties of determinant, show that :|[a^2+1,ab,ac],[ab,b^2...

    Text Solution

    |

  13. The funtion f(x) is defined as follows: f(x) = {:{(x^2+ax+b,0lex<2),...

    Text Solution

    |

  14. Evalute : int(5x+3)/sqrt(x^2+4x+10)dx

    Text Solution

    |

  15. By using the properties of definite integrals, evaluate the integral: ...

    Text Solution

    |

  16. Solve: dy/dx+(2x)/(x^2+1)y=1/(x^2+1)^2, y(0)=0.

    Text Solution

    |

  17. Find the shortest distance between the lines: vecr=6hati+2hatj+2hatk+l...

    Text Solution

    |

  18. Find the equation of the plane passing through the intersection of the...

    Text Solution

    |

  19. A problem in Mathematics is given the three students whose chances of ...

    Text Solution

    |

  20. A problem in Mathematics is given the three students whose chances of ...

    Text Solution

    |