Home
Class 12
MATHS
Let P(x)=a0+a1x^2+a2x^4++an x^(2n) be a ...

Let `P(x)=a_0+a_1x^2+a_2x^4++a_n x^(2n)` be a polynomial in a real variable `x` with `0

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BANSAL|Exercise All Questions|425 Videos

Similar Questions

Explore conceptually related problems

Let P(x)=a_(0)+a_(1)x^(2)+a_(2)x^(4)+...+a_(n)x^(2n) be a polynomial in a real variable x with 0

If P(x) = a _0 + a _1 x ^(2) + a _2 x^(4) + … + a _n x ^(2n) is a polynomial in a real variable x with 0 lt a _0 lt a _1 lt a _2 lt … lt a_n . Then, the function P (x) has

If p(x)=a_(0)+a_(1)x^(2)+a_(2)x^(4)+...+a_(n)x^(2n) is a polynomial in a real variable x with 0< a_(0)< a_(1)< a_(2)<...< a_(3) . Then,the function p(x) has

Let P(x)=x^(2)+(1)/(2)x+b and Q(x)=x^(2)+cx+d be two polynomials with real coefficients such that P(x)Q(x)=Q(P(x)) for all real x. Find all the real roots of P(Q(x))=0

BANSAL-APPLICATION OF DERIVATIVE-All Questions
  1. Find the point of maxima and minima f(x)=xln^2x ,\ x >0 .

    Text Solution

    |

  2. Find the points of maxima and minma. f(x)=(x-2)^(2/3)+\ (x+1)^(2/3d...

    Text Solution

    |

  3. Let P(x)=a0+a1x^2+a2x^4++an x^(2n) be a polynomial in a real variable ...

    Text Solution

    |

  4. f(x) is a cubic function with f(1)=-6,\ f(-1)=10 , and has maxima a...

    Text Solution

    |

  5. Let f(x)=a/x+x^2dot If it has a maximum at x=3, then find the value...

    Text Solution

    |

  6. Discuss the extrema of f(x)=x/(1+xtanx),x in (0,pi/2)

    Text Solution

    |

  7. Let f(x)={x^3+x^2+10 x ,\ \ x<0-3sinx ,\ \ \ \ xgeq0 . Investigate x=0...

    Text Solution

    |

  8. Consider P(x) to be a polynomial of degree 5 having extremum at x=-1,1...

    Text Solution

    |

  9. Find the maximum perimeter of a triangle on a given base ' a ' and ...

    Text Solution

    |

  10. If lim(x->a) f(x) = lim(x->a) [f(x)] ([.] denotes the greatest intege...

    Text Solution

    |

  11. A function f is defined by f(x)=\ int0^picostcos(x-t)dt ,\ 0lt=xlt=2pi...

    Text Solution

    |

  12. From a fixed point A on the circumference of a circle of radius r , th...

    Text Solution

    |

  13. Show that for each a >0 the finction e^(-a x)dotx^a^2 has a maximum va...

    Text Solution

    |

  14. Let f(x)=x^(3) +3(a-7)x^(2)+3(a^(2) -9) x-1. If f(x) has positive po...

    Text Solution

    |

  15. Show that the surface area of a sphere is the same as that of the l...

    Text Solution

    |

  16. Consider the function represented parametrically as x=a t^2,\ y=2a ...

    Text Solution

    |

  17. Statement-1 : If a1,a2,a3,….. an are positive real numbers , whose pro...

    Text Solution

    |

  18. Find a point on the curve x^2 + 2y^2 = 6, whose distance from the li...

    Text Solution

    |

  19. For the circle x^(2)+y^(2)=r^(2), find the value of r for which the ar...

    Text Solution

    |

  20. If f(x)=x^3+b x^2+c x+d and 0<b^2<c , then f(x) is a strictly increasi...

    Text Solution

    |