Home
Class 12
MATHS
For the differentiable function f:RR-{0}...

For the differentiable function `f:RR-{0} rarr RR, "let" 3f(x)+2f(1/x)=1/x-10,then |f(3)+f'(1/4)|` is equal to

A

`13`

B

`(33)/5`

C

`(29)/5`

D

`7`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

If f(x) be a twice differentiable function from RR rarr RR such that t^(2)f(x)-2tf'(x)+f''(x)=0 has two equal values of for all x and f(0)=1,f'(0)=2, then lim_(x rarr 0)((f(x)-1)/(x)-(t)/(2)) is

Let f be a differentiable function AA x in R where f(1)=1&f(3)=4&f'(x)>=1 AA x in R then f(2) can be equal to

Function f satisfies the relation f(x)+2f((1)/(1-x))=x AA x in R-{1,0} then f(2) is equal to

Suppose f^(-1) is the inverse function of a differentiable function f and let G(x)=(1)/(f^(-1)(x)) If f(3)=2 and f'(3)=(1)/(9), find G'(2)

Let f(x) be a non-constant twice differentiable function defined on (oo,oo) such that f(x)=f(1-x) and f'(1/4)=0^(@). Then

For x in R-{0,1}, " let " f_(1)(x)=(1)/(x), f_(2)(x)=1-x and f_(3)(x)=(1)/(1-x) be three given functions. If a function, J(x) satisfies (f_(2) @J@f_(1))(x)=f_(3)(x), " then " J(x) is equal to

Let f be a differential function such that f(x)=f(2-x) and g(x)=f(1+x) then (1) g(x) is an odd function (2)g(x) is an even function (3) graph of f(x) is symmetrical about the line x=1 (4) f'(1)=0

Let f:(2,4)rarr(1,3) be a function defined by f(x)=x-[(x)/(2)], then f^(-1)(x) is equal to:

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. For the system of liner equation 2x+4y+2az=b x+2y+3z=4 2x-5y+2z=8...

    Text Solution

    |

  2. For xinRR ,two real valued functons f(x) and g(x) are such that ,g(x)=...

    Text Solution

    |

  3. For the differentiable function f:RR-{0} rarr RR, "let" 3f(x)+2f(1/x)=...

    Text Solution

    |

  4. Let y=y1(x) and y=y2(x) be the solution curves of the differential equ...

    Text Solution

    |

  5. int(0)^(oo)(6)/(e^(3x)+6e^(2x)+11e^x+6)dx=

    Text Solution

    |

  6. The negation of the statement ((A^^(BvvC))⇒(AvvB))⇒A is

    Text Solution

    |

  7. Let the tangent and normal at the point (3sqrt31) on the ellipse (x^2)...

    Text Solution

    |

  8. Let the equation of plane pssing through the line of intersection of t...

    Text Solution

    |

  9. Let for x in RR, S0(x)=x,Sk(x)=Ckx+kint(0)^xS(k-1)(t)dt , where C0=1,C...

    Text Solution

    |

  10. let alpha be the constant term in the binomial expansion of (sqrtx-(6)...

    Text Solution

    |

  11. The sum to 20 terms of the series 2*2^2-3^2+2*5^2+2*6^2-...... is equa...

    Text Solution

    |

  12. Let m1 and m2 be the slopes of the tangents drawn from the point P(4,...

    Text Solution

    |

  13. Let w=zbarz +k1z+k2iz+lambda(1+i),k1,k2 in RR. Let Re(w)=0 be the circ...

    Text Solution

    |

  14. If S {x in RR : sin^-1((x+1)/(sqrtx^2+2x+2))-sin^-1(x/(sqrt((x)^2+1)))...

    Text Solution

    |

  15. Let veca=3hati+hatj-hatk and vecc= 2hati-3hatj+3hatk . If vecb is a v...

    Text Solution

    |

  16. Let the image of the point ((5)/(3),(5)/(3),(8)/(3)) in the plane x-2y...

    Text Solution

    |

  17. Let the mean of the data be 5 . If m and sigma^2 are respectively ...

    Text Solution

    |

  18. The number of seven digit positive integers formed using the digits 1,...

    Text Solution

    |

  19. Let N be the foot of perpendicular from the point P(1,-2,3) on the lin...

    Text Solution

    |

  20. Let S = {z in CC : barz =i (z^2 + Re(bar z))} Then sum sum(z in s)|z|^...

    Text Solution

    |