Home
Class 12
MATHS
Let f (x) be a continuous function (defi...

Let `f (x)` be a continuous function (define for all x) which satisfies `f ^(3) (x)-5 f ^(2) (x)+ 10f (x) -12 ge 0, f ^(2) (x) + 3 ge 0 and f ^(2) (x) -5f(x)+ 6 le 0`
If distinct positive number `b_(1), b _(2) and b _(3)` ar in G.P. then `f (1)+ ln b _1), f (2) + ln b _(2), f (3)+ ln b _(3)` are in :

A

A.P.

B

G.P.

C

H. P.

D

A. G. P.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise MATCHING TYPE PROBLEMS|6 Videos
  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise SUBJECTIVE TYPE PROBLEMS|33 Videos
  • FUNCTION

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise ONE OR MORE THAN ONE ANSWE IS/ARE CORRECT|23 Videos
  • ELLIPSE

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|2 Videos
  • HYPERBOLA

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Subjective Type Problems|3 Videos

Similar Questions

Explore conceptually related problems

Let f (x) be a continuous function (define for all x) which satisfies f ^(3) (x)-5 f ^(2) (x)+ 10f (x) -12 ge 0, f ^(2) (x) + 3 ge 0 and f ^(2) (x) -5f(x)+ 6 le 0 The equation of tangent that can be drawn from (2,0) on the curve y = x^(2) f (sin x) is :

Let f (x) be a continuous function (define for all x) which satisfies f ^(3) (x)-5 f ^(2) (x)+ 10f (x) -12 ge 0, f ^(2) (x) + 3 ge 0 and f ^(2) (x) -5f(x)+ 6 le 0 The equation of tangent that can be drawn from (2,0) on the curve y = x^(2) f (sin x) is :

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be continuous functions f: RvecR satisfying f(0)=1a n df(2x)-f(x)=xdot Then the value of f(3) is 2 b. 3 c. 4 d. 5

Let f(x) be a continuous function defined for 0lexle3 , if f(x) takes irrational values for all x and f(1)=sqrt(2) , then evaluate f(1.5).f(2.5) .

Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in [0,a] . Then int_0^a dx/(1+e^(f(x)))= (A) a (B) a/2 (C) 1/2f(a) (D) none of these

A functions is defined for all positive numbers x as f(x) = asqrt(x) + b . What is the value of f(3) . If f(4) - f(1) = 2 and f(4) + f(1) = 10 ?

A function f(x) is defined as f(x)=x^2+3 . Find f(0), F(1), f(x^2), f(x+1) and f(f(1)) .

If f(x)=ax^(2)+bx+c and f(-1) ge -4 , f(1) le 0 and f(3) ge 5 , then the least value of a is

A function f is defined by f(x) = x^(2) + 1 . Find f(0), f(5), f(10).