Home
Class 12
MATHS
if p^2=a^2costheta+b^2sin^2theta then pr...

if `p^2=a^2costheta+b^2sin^2theta` then prove that `(p+(d^2p)/(d theta^2))=(a^2b^2)/p^3`

A

`2a^(2)+2b^(2)+3p`

B

`2a^(2)+2b^(2)-3p`

C

`2a^(2)-2b^(2)-3p`

D

`2a^(2)-2b^(2)+3p`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - I : CHAPTER 11)|19 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

  • DIFFERENTIAL EQUATIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|14 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

if p^(2)=a^(2)cos theta+b^(2)sin^(2)theta then prove that (p+(d^(2)p)/(d theta^(2)))=(a^(2)b^(2))/(p^(3))

If p^(2)=a^(2)cos^(2)theta+b^(2)sin^(2)theta , then show that : p+(d^(2)p)/(d theta^(2))=(a^(2)b^(2))/p^(3) .

If p^(2)=a^(2)cos^(2)theta+b^(2)sin^(2)theta then

If sin theta+tan theta=P then prove that (p^(2)-1)/(p^(2)+1)=sin theta

If cos ec theta+cot theta=p, then prove that cos theta=(p^(2)-1)/(p^(2)+1)

If cosectheta + cottheta=p , then prove that the cos theta=(p^2-1)/(p^2+1)

If ((x)/(a) sin theta -(y)/(b) costheta )=1 and ((x)/(a)costheta +(y)/(b) sin theta)=1 , prove that ((x^(2))/(a^(2))+(y^(2))/(b^(2)))=2.

If sec theta+tan theta=p, prove that sin theta=(p^(2)-1)/(p^(2)+1)

If sintheta+costheta=pandsectheta+"cosec"theta=q then prove that q(p^(2)-1)=2p .

If p and p_1 be the lengths of the perpendiculars drawn from the origin upon the straight lines x sin theta + y cos theta = 1/2 a sin 2 theta and x cos theta - y sin theta = a cos 2 theta , prove that 4p^2 + p^2_1 = a^2 .

MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
  1. if p^2=a^2costheta+b^2sin^2theta then prove that (p+(d^2p)/(d theta^2)...

    Text Solution

    |

  2. If x=t*logt" and "y=t^(t)," then: "(dy)/(dx)=

    Text Solution

    |

  3. If 2x=y^(1//n)," then: "x^(2)(y(1))^(2)=

    Text Solution

    |

  4. If y=x^(2)+1" and "u=sqrt(1+x^(2))," then: "(dy)/(dx)=

    Text Solution

    |

  5. If y=sqrt(cos2x)," then: "yy(2)+2y^(2)=

    Text Solution

    |

  6. If x=(t+1)/(t),y=(t-1)/(t)," then: "(dy)/(dx)=

    Text Solution

    |

  7. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

    Text Solution

    |

  8. If cos x =1/sqrt(1+t^(2)), and sin y = t/sqrt(1+t^(2)), then (dy)/(dx)...

    Text Solution

    |

  9. If y=(x^(1/3)-x^(-1/3))then (dy)/(dx) is

    Text Solution

    |

  10. If y=(e^(4logx)-e^(3logx))/(e^(2logx)-e^(logx))," then: "(dy)/(dx)=

    Text Solution

    |

  11. If y=cos^(2)[tan^(-1)sqrt((1-x)/(1+x)))] then dy/dx=

    Text Solution

    |

  12. d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx

    Text Solution

    |

  13. (d)/(dx)(sec^(2)x*csc^(2)x)=

    Text Solution

    |

  14. If y=log((1)/(1-x))," then: "(dy)/(dx)-1=

    Text Solution

    |

  15. If y=4^(log2(sinx))+9^(log3(cosx)," then "(log2(log3)y(1)=

    Text Solution

    |

  16. If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=

    Text Solution

    |

  17. If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot

    Text Solution

    |

  18. If x^(2)=1+cosy," then: "(dy)/(dx)=

    Text Solution

    |

  19. Defferential coefficient of x^(x)w.r.t.x*logx is

    Text Solution

    |

  20. If x=sqrt(y+sqrt(y+sqrt(y+..."to"oo)))," then: "(dy)/(dx)=

    Text Solution

    |

  21. If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=

    Text Solution

    |