Home
Class 12
MATHS
If f(x)=|[x^(3),2x^(2)+1,1+3x],[3x^(2)+2...

If `f(x)=|[x^(3),2x^(2)+1,1+3x],[3x^(2)+2,2x,x^(3)+6],[x^(3)-x,4,x^(2)-2]|` for all `x in R` ,then `2f(0)+f'(0)` is equal to

A

48

B

12

C

18

D

42

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

Let 2f(x^(2))+3f(11x^(2))=x^(2)-1 for all x in R=[0], Then f(x) equals

If f(x)=|[3,2,1],[6x^(2),2x^(3),x^(4)],[1,a,a^(2)]| ,then f''(a)= is

If f : Rto R is defined as f (x) = x^(2) -3x +4 for all x in R, then f ^(-1) (2) is equal to

Let f : R rarr R be defined by f(x) = x^(2) - 3x + 4 for all x in R , then f (2) is equal to

Let f(x) =|{:(secx,x^(2),x),(2sinx,x^(3),2x^(2)),(tan3x,x^(2),x):}|lim_(x to 0)f(x)/(x^(4)) is equal to

f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. The value of f(1) is

If f(x)=x^(3)+3x^(2)-2x+4, find f(-2)+f(2)-f(0)

if quad f(x)=x+(x^(2))/(1)!+(x^(3))/(3)!+--+(x^(n))/(n)! then f(0)+f'(0)+f''(0)+ is equal to

f:RrarrR,f(x)=x^(3)+x^(2)f'(1)+xf''(2)+f'''(3)" for all "x in R. f(x) is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. If f(x)=(4x-3)/(6x-4),xne2/3,g:R-{2/3}toR-{2/3},g(x)=fof(x) then value...

    Text Solution

    |

  2. Two marbles are drawn in succession from a box containing "10" red,"30...

    Text Solution

    |

  3. If f(x)=|[x^(3),2x^(2)+1,1+3x],[3x^(2)+2,2x,x^(3)+6],[x^(3)-x,4,x^(2)-...

    Text Solution

    |

  4. If the foci of a hyperbola are same as that of the ellipse (x^(2))/(9)...

    Text Solution

    |

  5. If the system of linear equations x-2y+z=-4 ; 2x+alpha y+3z=5; 3x-y+be...

    Text Solution

    |

  6. The sum of series 1/(1-3.1^2+1^4)+2/(1-3.3^2+2^4)+3/(1-3.3^2+3^4)+.......

    Text Solution

    |

  7. Let alpha,beta,gamma,delta in Z and let A(alpha,beta),B(1,0),C(gamma,d...

    Text Solution

    |

  8. A={1,2,3,4} and R={(1,2),(2,3),(1,4)} be a relation on A .Let S be the...

    Text Solution

    |

  9. In the expansion of (1-x^2)(1+x)(1+3/x+3/x^2+1/x^3)^5 the sum of the c...

    Text Solution

    |

  10. If alpha denotes the number of solutions of |1-i|^(x)=2^(x) and beta=(...

    Text Solution

    |

  11. Let vec a and vec b be two vectors such that |vec a|=1,|vec b|=4 ,and ...

    Text Solution

    |

  12. The total number of words (with or without meaning) that can be formed...

    Text Solution

    |

  13. Let S=(-1,oo) and f:S rarr R be defined as f(x)=int(-1)^(x)(e^(t)-1)^(...

    Text Solution

    |

  14. If the integral 525int(0)^((pi)/(2))sin2x cos^((11)/(2))x(1+Cos^((5)/(...

    Text Solution

    |

  15. Let the foci and length of the latus rectum of an ellipse (x^(2))/(a^(...

    Text Solution

    |

  16. Let f:R to R be a function defined by f(x)=(4^x)/(4^x+2) and M=int(f(a...

    Text Solution

    |

  17. Let Q and R be the feet of perpendiculars from the point P(a,a,a) on t...

    Text Solution

    |

  18. If F :(- oo, -1] rightarrow (a, b] is defined as f(x) = e^(x^3-3x+1) s...

    Text Solution

    |

  19. The area of the region enclosed by the parabolas y=4x-x^(2) and 3y=(x-...

    Text Solution

    |

  20. Let A(a,b),B(3,4) and C(-6,-8) respectively denote the centroid,circum...

    Text Solution

    |