Home
Class 12
MATHS
If f(x)=(t+3x-x^2)/(x-4), where t is a p...

If `f(x)=(t+3x-x^2)/(x-4),` where `t` is a parameter that has minimum and maximum, then the range of values of `t` is (a) `(0,4)` (b) `(0,oo)` (c) `(-oo,4)` (d) `(4,oo)`

Text Solution

Verified by Experts

The correct Answer is:
3
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

Find the maximum and minimum values of the function f(x) = x + 4/x, x < 0

Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the set of values of a for which f is onto is (a) (0,oo) (b) [2,1] (c) [1/4] (d) [1/4,oo]

sinx+cosx=y^2-y+a has no value of x for any value of y if a belongs to (a) (0,""sqrt(3)) (b) (-""sqrt(3),0) (c) (-oo,-""sqrt(3)) (d) (""sqrt(3),oo)

Find the (absolute) maximum and minimum values of f(x) = -4sin x + 2x in (0,pi/2)

If (log)_(0. 3)(x-1) (a) (2,oo) (b) (1,2) (c) (-2,-1) (d) None of these

If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at four distinct points and a=b^2-5b+7, then b does not lie in (a) [4,5] " " (b) (-oo,2)uu(3,oo) " " (c) (-oo,0) " " (d) [2,3]

Find the local maximum and local minimum values of the function f(x) = cos^4 x + sin^4 x, (0,pi/2)

The range of the function f(x)=(x^2+x+2)/(x^2+x+1),x in R , is (a) (1,oo) (b) (1,(11)/7) (c) (1,7/3) (d) (1,7/5)

If F(x)=int_(1)^(x) f(t) dt ,where f(t)=int_(1)^(t^(2))(sqrt(1+u^(4)))/(u) du , then the value of F''(2) equals to

The value of int_(0)^(x)(4t)^(3) dt is equal to