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))`

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION SET

    USHA PUBLICATION|Exercise MODEL QUESTION SET|692 Videos

  • PREVIOUS YEAR QUESTION 2016

    USHA PUBLICATION|Exercise PREVIOUS YEAR QUESTION |44 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: tan (pi cos""theta/2)=cot(pisin"theta/2), then show that theta=sin^1(3/4).

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

USHA PUBLICATION-PRACTICE PAPER-PRACTICE PAPER
  1. Solve the following differential equations (1-x^2)(dy)/(dx)+2xy= x s...

    Text Solution

    |

  2. solve:e^-x(d^2y)/dx^2=x

    Text Solution

    |

  3. Find the scalar and vector projections of the vector 2hati-3hatj-6hatk...

    Text Solution

    |

  4. In any triangle ABC, prove by vector method that frac[a][sinA]=frac[b]...

    Text Solution

    |

  5. Show that (vecaxxvecb)^2 = a^2b^2 - (veca.vecb)^2.

    Text Solution

    |

  6. Find the image of the point (3,5,7) with respect to the plane 2x+y+z=6...

    Text Solution

    |

  7. A variable plane is at a constant distance p from the origin and meets...

    Text Solution

    |

  8. Give an example of a relation f such that f = f^(-1)

    Text Solution

    |

  9. If "sin"^(-1)x+"sin"^(-1)y+"sin"^(-1)z=pi, show that xsqrt(1-x^(2))+ys...

    Text Solution

    |

  10. Solve the following LPP graphically Optimize Z=5x1+25x2 subject to -0....

    Text Solution

    |

  11. Prove that the following. |[(v+w)^2,u^2,u^2],[v^2,(w+u)^2,v^2],[w^2,w...

    Text Solution

    |

  12. Find the inverse of the matrix abs[[3,-2,3],[2,1,-1],[4,-3,2]]

    Text Solution

    |

  13. If A=abs[[1,2,0],[1,1,0],[-1,4,0]],B=abs[[1,2,3],[1,1,-1],[4,-3,2]] a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Evaluate intln(x^2+x+2)dx

    Text Solution

    |

  17. Evaluate int0^1frac[ln(1+x)][1+x^2]dx

    Text Solution

    |

  18. Solve the differential equation. x(x+y)dy=(x^2+y^2)dx

    Text Solution

    |

  19. If veca,vecb,vecc are three mutually perpendicular vectors of equal ma...

    Text Solution

    |

  20. Prove that the lines frac[x+3][2]=frac[y+5][3]=frac[z-7][-3] and frac[...

    Text Solution

    |