Home
Class 12
MATHS
If x = (1-cos^2 theta)/(cos theta), y = ...

If `x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta)` then show that `(dy/dx)^2 = n^2((y^2 + 4)/(x^2 +4))`

Text Solution

Verified by Experts

The correct Answer is:
`n^(2)((y^(2)+4)/(x^(2)+4))`
Promotional Banner

Topper's Solved these Questions

  • CHSE ODISHA EXAMINATION PAPER - 2018

    ARIHANT PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)|38 Videos

  • AREA UNDER PLANE CURVES

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)|15 Videos

  • CHSE ODISHA EXAMINATION PAPER 2019

    ARIHANT PUBLICATION|Exercise Group C (30 Marks) |13 Videos

Similar Questions

Explore conceptually related problems

If M( theta)=[{:(cos theta,sintheta),(-sintheta, cos theta):}] then show that M(x)M(y)=M(x+y) .

If x=acos theta+bsin theta and y=a sin theta-bcos theta , then show that y^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)+y=0

If x=2cos theta-cos 2theta and y=2sin theta-sin 2 theta , then prove that (dy)/(dx)=tan((3theta)/(2))

If x = 2costheta-cos2theta , y = 2sintheta-sin2theta then find d^(2)y/dx^(2) at theta =pi/2 .

If x=cos theta-cos 2theta and y=sin theta-sin2theta , then find (dy)/(dx) .

If x=a cos theta and y=bcos theta , then find (dy)/(dx) .

If: tan (pi cos""theta/2)=cot(pisin"theta/2), then show that theta=sin^1(3/4).

Evaluate int sec^2 theta/(cos2 theta+2sin^2 theta)d theta

ARIHANT PUBLICATION-CHSE ODISHA EXAMINATION PAPER - 2018 -SHORT ANSWER TYPE QUESTIONS (ANSWER ANY THREE QUESTIONS)
  1. int(0)^(1/2)(1)/(sqrt(1-x^(2)))dx.

    Text Solution

    |

  2. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  3. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  4. The position vectors of two points A and B are 3hati+hatj+2hatk and ha...

    Text Solution

    |

  5. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

    Text Solution

    |

  6. Prove that [(veca+vecb,vecb+vecc,vecc+veca)]=2[(veca,vecb,vecc)].

    Text Solution

    |

  7. If the sum of two unit vectors is a unit vector, show that the magnitu...

    Text Solution

    |

  8. If a=2hati+hatk,b=hati+hatj+hatkandc=4hati-3hatj+7hatk, then find the ...

    Text Solution

    |

  9. Find the shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/...

    Text Solution

    |

  10. Solve the following LPP graphically : Maximize Z=3x(1) +2x(2) subj...

    Text Solution

    |

  11. Let f:XrightarrowY and g:YrightarrowZ. Prove that gof is bijective if ...

    Text Solution

    |

  12. In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...

    Text Solution

    |

  13. By elementary operations, find A^(-1) for the following: A=[[1,1,0],[1...

    Text Solution

    |

  14. Solve the following system of equations by the matrix inversion method...

    Text Solution

    |

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

    Text Solution

    |

  16. Find the coordinates of the point on the curve x^2y - x + y = 0 wher...

    Text Solution

    |

  17. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

    Text Solution

    |

  18. Find the solution of the following differential equations: (4x+6y+5)dx...

    Text Solution

    |

  19. Evaluate: int ((2cosx+7)/(4-sinx))dx

    Text Solution

    |

  20. Find the area enclosed by y=4x-1 and y^(2)=2x.

    Text Solution

    |