Home
Class 12
MATHS
If y^2=P(x) is a polynomial of degree 3...

If `y^2=P(x)` is a polynomial of degree `3,` then `2(d/(dx))(y^3dot(d^2y)/(dx^2))` is equal to `P^(x)+P^(prime)(x)` (b) `P^(x)dotP^(x)` `P(x)dotP^(x)` (d) a constant

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If y^(2)=P(x) is polynomial of degree 3, then 2((d)/(dx))(y^(3)*d^(2)(y)/(dx^(2))) is equal to

If y^(2)=P(x) is a polynomial of degree 3, then 2((d)/(dx))(y^(3)(d^(2)y)/(dx^(2))) is equal to P^(x)+P'(x) (b) P^(x)P^(x)P(x)P^(x)(d) a constant

If y^(2) = p (x) is a polynomial of degree 3 , then what is 2 "" (d)/(dx) [y^(3) (d^(2) y)/(dx^(2))] equal to

If y^(2)=P(x) is a polynomial of degree 3 then find the value of (d)/(dx)(y^(3)((d^(2)y)/(dx^(2))))

If y^(2)=P(x), then 2(d)/(dx)(y^(3)(d^(2)(y)/(dx^(2))))

If P (x) is polynomial of degree 2 and P(3)=0,P'(0)=1,P''(2)=2," then "p(x)=

RESONANCE DPP-JEE MAINS-All Questions
  1. In a triangle ABC , the line joining the circumcentre and incentre is ...

    Text Solution

    |

  2. Find the limits (i) (lim)(x""->1)[(x^2+1)/(x+100)] (ii) (lim)(x...

    Text Solution

    |

  3. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^3dot(d^2y)...

    Text Solution

    |

  4. In acute angled triangle A B C ,A D is the altitude. Circle drawn with...

    Text Solution

    |

  5. Find the following: lim(xrarr0^+)(1+{x})^(1//x)

    Text Solution

    |

  6. If in a DeltaABC, the altitudes from the vertices A, B, C on opposite ...

    Text Solution

    |

  7. Find the following: lim(xrarr0^+)({x})^(1//x)

    Text Solution

    |

  8. Find the following: lim(xrarroo)(x^2-3x+2)/(x^3+3x)

    Text Solution

    |

  9. In a triangle ABC, if cos A cos B + sin A sin B sin C = 1, then a:b:c ...

    Text Solution

    |

  10. Which of the following is and determinate form (lim)(xvec1)(x^3-1)/(x-...

    Text Solution

    |

  11. Which of the following holds goods for any tiangle ABC, a,b,c are the ...

    Text Solution

    |

  12. Evaluate the following: lim(xrarr1)(x^3-1)/(x^2-6x+5)

    Text Solution

    |

  13. int(dx)/((x^2+4x+5)^2)i se q u a lto 1/2[tan^(-1)(x+1)+("x"+2)/("x"^...

    Text Solution

    |

  14. In a triangle, with usual notations, the length of the bisector of ang...

    Text Solution

    |

  15. Evaluate the following: lim(xto1/3)(3x^2+5x-2)/(9x^2-1)

    Text Solution

    |

  16. If varphi(x)=int(1/x)^(sqrt(x))sin(t^2)dt then varphi^(prime)(1)= ...

    Text Solution

    |

  17. In Figure D\ a n d\ E are two points on B C such that B D=D E=E Cdo...

    Text Solution

    |

  18. An ordinary cubical dice having six faces marked with alphabets A, ...

    Text Solution

    |

  19. If f(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4) then f^(prime)(2) has th...

    Text Solution

    |

  20. Three equal circles each of radius r touch one another. The radius of ...

    Text Solution

    |