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The equation x ^(4) -2x ^(3)-3x^2 + 4x -...

The equation `x ^(4) -2x ^(3)-3x^2 + 4x -1=0` has four distinct real roots `x _(1), x _(2), x _(3), x_(4)` such that `x _(1) lt x _(2) lt x _(3)lt x _(4)` and product of two roots is unity, then : `x _(1)x _(2) +x_(1)x_(3) + x_(2) x _(4) +x_(3) x _(4)=`

A

0

B

1

C

`sqrt5`

D

`-1`

Text Solution

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The correct Answer is:
B
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VIKAS GUPTA (BLACK BOOK)-QUADRATIC EQUATIONS -EXERCISE (COMPREHENSION TYPE PROBLEMS)
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  2. Let f (x) =x ^(2) + bx + c AA in R, (b,c, in R) attains its least val...

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  3. Let f (x) =x ^(2) + bx + c AA in R, (b,c, in R) attains its least val...

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  4. Let f (x) =x ^(2) + bx + c AA in R, (b,c, in R) attains its least val...

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  5. Consider the equation log2 ^2 x- x - 4 log2 x- m^2 -2m-13=0,mepsilon R...

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  6. Consider the equation log (2)^(2) x -4 log (2)x-m^(2) -2m -13=0, m in ...

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  7. The equation x ^(4) -2x ^(3)-3x^2 + 4x -1=0 has four distinct real roo...

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  8. The equation x ^(4) -2x ^(3)-3x^2 + 4x -1=0 has four distinct real roo...

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  9. Let f(x) polynomial of degree 5 with leading coefficient unity such th...

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  10. IF THE MINIMUM VALUE OF AN OBJECTIVE FUNCTION Z=ax+by occurs at two po...

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  11. Let f (x) be a polynomial of degree 5 with leading coefficient unity,...

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  12. Consider the cubic equation in x , x ^(3) - x^(2) + (x- x ^(2)) sin th...

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  13. Consider the cubic equation in x , x ^(3) - x^(2) + (x- x ^(2)) sin th...

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  14. Let P(x) be a quadratic polynomial with real coefficients such that fo...

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  15. Let P(x) be quadratic polynomical with real coefficient such tht for a...

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  16. Let t be a real number satifying 2t ^(3) -9t ^(2) + 30 -lamda =0 where...

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  17. Let t be a real number satifying 2t ^(3) -9t ^(2) + 30 -lamda =0 where...

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  18. Let t be a ral number satifying 2t ^(3) -9t ^(2) + 30 -lamda =0 where ...

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  19. Consider a quadratic expression f (x) =tx^(2) -(2t -1) x+ (5x -1) If...

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  20. Consider a quadratic expression f (x) =tx^(2) -(2t -1) x+ (5x -1) I...

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