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Derivative of Standard Functions

12. If a, b a...

Question

12. If a, b are the zeros of f(x) =x2+px+1 and c, d are the zeros of f(x) =x2+qx+1, then find the value of E=(a-c) (b-c) (a+d) (b+d).

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c, d

x^{2} - 10 a x - 11 b

a, b

x^{2} - 10 c x - 11 d

a + b + c + d

a, b

x^{2} + p x + 1 = 0

c, d

x^{2} + q x + 1 = 0,

E = (a - c) (b - c) (a + d) (b + d)

If c, d are zeroes of x2-10x-11b and a , b are zeroes of x2-10cx-11d then value of a+b+c+d= ?

A) 1210

B)-1

C)2530

D)-11

f (x) = x^{2} - p (x + 1) - c

(α + 1) (β + 1)

f (x) = \frac{x^{2} + 4 x + 3}{x^{2} + x + 1} \in [\frac{a - b \sqrt{c}}{d}, \frac{a + b \sqrt{c}}{d}]

a, b, d

c

a

d

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