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f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1...

f: `D->R, f(x) = `(x^2 +bx+c)/(x^2+b_1 x+c_1) where`alpha,beta` are the roots of the equation `x^2+bx+c=0` and `alpha_1,beta_1` are the roots of `x^2+b_1 x+ c_1= 0`. Now answer the following questions for f(x). A combination of graphical and analytical approach may be helpful in solving these problems. (If `alpha_1 and beta_1` are real, then f(x) has vertical asymptote at x = `alpha_1,beta_1`

A

f(x) has a maxima in `[alpha_(1),beta_(1)]` and a minima is `[alpha,beta]`

B

f(x) has a minima in `(alpha_(1),beta_(1))` and a maxima in `(alpha,beta)`

C

`f'(x)gt0` where ever defined

D

`f'(x)lt0` where ever defined

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The correct Answer is:
A
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Passage Based Questions)
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  2. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  3. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  4. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  5. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  6. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

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  7. consider the function f(x)=(x^(2))/(x^(2)-1) The interval in which f...

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  8. consider the function f(x)=(x^(2))/(x^(2)-1) If f is defined from R-...

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  9. consider the function f(x)=(x^(2))/(x^(2)-1) f has

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  10. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then The value of x=...

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  11. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Let g(t)=int(t)...

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  12. Let f(x)=e^((P+1)x)-e^(x) for real number Pgt0, then Let g(t)=int(t)...

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  13. Consider f, g and h be three real valued function defined on R. Let f(...

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  14. Consider f, g and h be three real valued function defined on R. Let f(...

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  15. Consider f, g and h be three real valued function defined on R. Let f(...

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  16. Consider f,g and h be three real valued functions defined on R. Let f(...

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  17. Consider f,g and h be three real valued functions defined on R. Let f(...

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  18. Consider f,g and h be three real valued functions defined on R. Let f(...

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  19. Consider f,g and h be three real valued differentiable functions defin...

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