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If a, b are the roots of x^2 + px + 1 ...

If a, b are the roots of `x^2 + px + 1 = 0` and c, d are the roots of `x^2 + qx + 1 = 0`, Then `((a - c) (b - c) (a + d) (b + d))/(q^2- p^2)`

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. If alpha,beta are the roots of the equation ax^2+bx+c=0 and Sn=alpha^n...

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  2. If alpha,beta be the roots of the equation lambda^2(x^2 - x) + 2lambda...

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  3. If a, b are the roots of x^2 + px + 1 = 0 and c, d are the roots of ...

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  4. If c ,d are the roots of the equation (x-a)(x-b)-k=0 , prove that a, b...

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  5. If alpha,beta are roots of x^2-px+q=0 then find the quadratic equation...

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  6. The coefficient of x in the equation x^2+px+q=0 was wrongly written as...

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  7. In copying a quadratic equation of the form x^2 +px +q=0,a student wro...

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  8. Find p in R for which x^2-px+p+3=0 has one positive and one negative r...

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  9. Find p in R for which x^2-px+p+3=0 has one root>2 and the other root<2...

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  10. For what values of a inR, the quadratic equation (a^2+1)x -(a+l)x+( a^...

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  11. For what values of a, does the equation ax^2 -(a + 1)x + 3 = 0, have r...

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  12. Find the real values of the parameter a such that (2a + 1)x^2-a(x-1) =...

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  13. Find the integral values of a for which the equation x^4-(a^2-5a+6)x^2...

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  14. Find the values of k so that the quadratic equation x^2 + 2(k-1)x + k+...

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  15. The range of real values of 'p' for which the equation 2log3^2 x-|log...

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  16. For what values of the parameter a the equation x^(4)+2ax^(3)+x^(2)+2a...

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  17. For what values of the parameter a the equation x^(4)+2ax^(3)+x^(2)+2a...

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  18. Find the integral values of a for which (a+2)x^2+2(a+1)x+a=0 will have...

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  19. Consider the inequation 9^(x) -a3^(x) - a+ 3 le 0, where a is real p...

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  20. Find t values of the parameter a such that the rots alpha,beta of the ...

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