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Assertion (A) : If 1,2,3 are the root...

Assertion (A) : If 1,2,3 are the roots of `ax^3 + bx ^2 +cx +d=0` then the roots of ` ax^3 +2bx^2 + 4 cx + 8d =0` are =0 are ` 2,4,6`
Reason (R ) : the equation whose roots are k times the roots of the equation `f(x) =0` is ` f((x )/(k ))=0`

A

both A and R are true R is the correct explanation of A

B

both A and R are true and R is not the correct explanation of A

C

A is true and R is false

D

A is false and R is true

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AAKASH SERIES-THEORY OF EQUATIONS-EXERCISE-II
  1. If the sum of two of the roots of x^4 -2x^3 -3x^2 +10 x-10=0 i...

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  2. the roots of the equation x^4 -6x^3 + 18x^2- 30 x +25 =0 are of...

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  3. Assertion (A) : If 1,2,3 are the roots of ax^3 + bx ^2 +cx +d=0 ...

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  4. If the product of two of the roots of x^4 - 5x^3 + 5x^2 + 5x -6=...

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  5. The equation x^3 -3qx +2r =0 has a repeated root then

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  6. If there is a multiple root of order 3 for the equation x^4 ...

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  7. The difference of the irrational roots of the equation x^5 -5x^4...

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  8. If alpha , beta , gamma are the roots of x^3 +2x^2 +3x +8=0 th...

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  9. If alpha , beta , gamma are the roots of the equation x^3 - px^...

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  10. If alpha, beta , gamma are the roots of the equation x^(3)+4x+1=0, the...

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  11. If alpha , beta , gamma are the roots of 2x^3 -2x -1=0 the sum ...

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  12. sum (1)/(alpha^2 beta^2)

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  13. If alpha , beta , gamma are the roots of x^3 + qx +r=0 then (1...

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  14. If f(x) =5x^3 +4x^2 - 13 x-25 and f(x-3) = 5x^3 - 41 x^2 + 98 x...

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  15. The equation whose roots exceed by 2 than the roots of 4x^4 ...

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  16. Find the polynomial equation whose roots are the squares of the roots ...

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  17. Form the polynomial equation whose roots are cubes of the roots of x^...

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  18. If 1,2,3 are the roots of ax^3 +bx^2 + cx +d=0 then the roots...

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  19. If alpha , beta , gamma are the roots of x^3 -6x -4=0 then th...

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  20. If alpha , beta , gamma are the roots of x^3 + 4x +1 =0 then th...

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