Home
Class 12
MATHS
Let f(lamda)(x)=4lamda x^3-8lamda x^2 +3...

Let `f_(lamda)(x)=4lamda x^3-8lamda x^2 +36x+48` be a real function . If `lamda^ast` is the greatest integeral value of `lamda` for which `f_(lamda)(x)` is increasing function then value of `f_(lamda).(1)+f_(lamda).(-1)` is equal to

A

0

B

1

C

-1

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN 2023

    JEE MAINS PREVIOUS YEAR|Exercise Question|435 Videos

Similar Questions

Explore conceptually related problems

The sum of all intergral values of lamda for which (lamda^(2) + lamda -2) x ^(2) + (lamda +2) x lt 1 AA x in R, is:

If |a| = 3 , |b| = 4 , then a value of lamda for which a + lamda b is perpendicular to a - lamda b is

Consider the function f(x)=max{|sinx|,|cosx|},AA"x"in[0,3pi]. if lamda is the number of points at which f(x) is non - differentiable , then value of (lamda^3)/5 is

If |veca| =3,|vecb| = 4 , then a value of lamda for which veca + lamda vecb is perpendicular to veca - lamda vecb is :

x ^(2) (lamda ^(2) - 4 lamda + 3) +y ^(2) (lamda ^(2) - 6 lamda +5) =1 will represent an ellipse if lamda lies in the interval

The number of distinct real values of lamda for which (x-1)/1=(y-2)/2=(z+3)/(lamda^(2)) and (x-3)/1=(y-2)/(lamda^(2))=(z-1)/2 are coplanar, is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. If a complex number z=a+ib satisfy abs(z-3)^2 le 1 and z(4+3i)+barz(4-...

    Text Solution

    |

  2. y=tan^-1(sec x^3-tan x^3) and pi/2 lt x^3 lt (3pi)/2 then which of the...

    Text Solution

    |

  3. Let f(lamda)(x)=4lamda x^3-8lamda x^2 +36x+48 be a real function . If ...

    Text Solution

    |

  4. veca xx [(vecr-vecb)xxveca]+vecb xx [(vecr-vecc)xxvecb]+vecc xx [(vecr...

    Text Solution

    |

  5. Given that an=19^n-12^n then find the value of (a10-31a9)/(57 a8)

    Text Solution

    |

  6. 1/(2.3^10)+1/(2^2 3^9)+. . .+1/(2^9. 3^2)+1/(2^10 .3^1)=k/(2^10 . 3^10...

    Text Solution

    |

  7. int0^pi (sinx e^cosx)/((1+cos^2x)(e^cosx+e^-cosx))dx

    Text Solution

    |

  8. Find number of 3 digit odd numbers which are multiple of 7

    Text Solution

    |

  9. If two common tangents of cuves y^2=x and x^2+y^2=2 has slope m1 and m...

    Text Solution

    |

  10. If (a+b)/7=(b+c)/8=(c+a)/9 and a,b,c are the side of triangleABC ,then...

    Text Solution

    |

  11. Circle C touches the line l1=4x-3y+k1=0 , l2=4x-3y+k2=0 where k1 , k2 ...

    Text Solution

    |

  12. f:N to R be a function such that f(x+y)=f(x).f(y) for natural number x...

    Text Solution

    |

  13. f(x)=x^3+x-5 and f(g(x))=x then find the value of g'(63)

    Text Solution

    |

  14. f(x)=x^3+3x^2+2x+9 find point of inflection P(alpha , beta) and calcul...

    Text Solution

    |

  15. If veca and vecb are unit vector and angle between them is theta , fin...

    Text Solution

    |

  16. 1/3,5/9,19/27,65/81 . . . "upto" 100 term , find the GIF of S100

    Text Solution

    |

  17. If g(0,oo) to R is a differentiable function int[(x.(cos-sinx))/(e^x+1...

    Text Solution

    |

  18. f(x) be a polynomial such that f(x)+f'(x)+f''(x)=x^5+64 value of lim(x...

    Text Solution

    |

  19. Z is a point on circle passing points P: (3+4i), Q:(4+3i) and R:(5i) ,...

    Text Solution

    |

  20. How many 3xx3 matrices possible with the elements {-1,0,1} such that...

    Text Solution

    |