Home
Class 12
MATHS
If absolute maximum value of f(x)=(1)/...

If absolute maximum value of
`f(x)=(1)/(|x-4|+1)+(1)/(|x+8|+1)is(p)/(q),` (p,q are coprime) the (p-q) is……… .

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 6|2 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|31 Videos

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise MAXIMA AND MINIMA EXERCISE 5|4 Videos

  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

The value of p(x) = (x - 1)(x + 1) for p(1) is :

Let p(x) be a polynomial of degree 4 such that P(1)=P(3)=P(5)=P'(7)=0. If the real number ane1,3,5 is such that P(a)=0 can be expressed as a=(p)/(q) , where p and q are relatively prime, then (p-8q) is……….

If the two AB:(int_(0)^(2t)((sinx)/x+1)dx)x+y=3t and AC:2tx+y=0 intersect at a point A the x-coordinate of a point A as t to 0 , is equal to p/q (p and q are in their lowest form) the (p+q) is ………….

If the maximum value of the expression 1/(5sec^2theta-tan^2theta+4cosec^2theta) is equal to p/q (where p and q are coprime), then the value of (p+q) is

If the distance from the point P(1, 1, 1) to the line passing through the points Q(0, 6, 8) andR(-1, 4, 7) is expressed in the form sqrt((p)/(q)) , where p and q are co-prime, then the value of ((q+p)(p+q-1))/(2) is equal to

Let S=sum_(r=1)^(117)(1)/(2[sqrtr]+1) , when [*] denites the greatest integer function and if S=(p)/(q) , when p and q are co-primes, the value of p+q is

The function 'f' is defined by f(x)=x^p(1-x)^q for all x\ in R , where p ,\ q are positive integers, has a maximum value, for x equal to : (p q)/(p+q) (b) 1 (c) 0 (d) p/(p+q)

Evaluate ( 4p - q) ^(2) - ( 4p + q) ^(2) if p =- 1 and q =2