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

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos

  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 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-MODEL QUESTION SET-MODEL QUESTION SET
  1. Resolve the vector vec(b) = hat(i) + hat(j) + hat(k) into vectors para...

    Text Solution

    |

  2. Find the foot of the perpendicular drawn from the point (5,7,3) to the...

    Text Solution

    |

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

    Text Solution

    |

  4. Show that the sum of the intercepts on the coordinate axes of any tang...

    Text Solution

    |

  5. Find frac[dy][dx] if y=([sinx+x^2]/[cot2x]).

    Text Solution

    |

  6. Integrate intfrac[(sin^2x+cos2x)][cos^2x)]dx

    Text Solution

    |

  7. Solve the following differential equations (x+tany)dy= sin 2y ""dx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. If sin^(-1)((x)/(a)) +sin^(-1)((y)/(b)) = sin^(-1)((c^(2))/(ab)), t...

    Text Solution

    |

  11. Solve the following LPP graphically Maximizez=20x+10y Subject to x+2...

    Text Solution

    |

  12. A variable plane meets the coordinate axes at A, B, C and is at a cons...

    Text Solution

    |

  13. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  14. If 2s=a+b+c show that [[a^2,(s-a)^2,(s-a)^2],[(s-b)^2,b^2,(s-b)^2],[...

    Text Solution

    |

  15. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

    Text Solution

    |

  16. Solve the following system of equations by matrix method x+2y+3z=8, 2x...

    Text Solution

    |

  17. What is the number of solution of the following system: 2x+3y=6, x+y...

    Text Solution

    |

  18. What is int(2x^2+3)/((x^2-1)(x^2+4))dx?

    Text Solution

    |

  19. Write the equation of the plane passing through the point(1,0,0),(0,2,...

    Text Solution

    |

  20. Given an example of a function which is both odd and even function.

    Text Solution

    |