Home
Class 12
MATHS
If alpha, beta , gamma are the roots of ...

If `alpha, beta , gamma` are the roots of `x^(3) - px^(2) + qx - r = 0` then match the following.
`(1)/(alpha) + (1)/(beta) + (1)/(gamma)" "(a)(p^(2) - 2q)/(r^(2))`
ii.`(1)/(alpha beta) + (1)/(beta gamma) + (1)/(gamma alpha)=" "(b) (q^(2) - 2pr)/(r^(2))`
iii.`(1)/(a^(2)) + (1)/(beta^(2)) + (1)/(gamma^(2)) =" " (c ) (p)/(r )`
iv.`(1)/(alpha^(2) beta^(2)) + (1)/(beta^(2) gamma^(2) ) + (1)/(gamma^(2) alpha^(2)) = " " (d) (q)/(r )`

A

c, d, a, b

B

d, c, b, a,

C

c, a , b, d

D

c, b, a, d

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET - 4|4 Videos
  • THEORY OF EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET -2|4 Videos
  • THEORETICAL DISTRIBUTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1.2.3 OR 4 GIVEN (SET -4)|5 Videos
  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

Similar Questions

Explore conceptually related problems

If alpha, beta ,gamma are roots of x^(3) + px^(2) + qx + r = 0 then sum (1)/(alpha^(2)) =

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^2

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum alpha^3

If alpha, beta, gamma are roots of x^(3) - px^(2) + qx - r = 0 then sum alpha^(2) (beta + gamma) =

If alpha, beta,gamma are roots of x^(3) - px^(2) + qx - r = 0 then sum alpha (beta + gamma) =

If alpha, beta and gamma are the roots of x^3 +px^2+qx+r=0 then find the following : sum (1)/(alpha^2 beta^2)

If alpha, beta ,gamma are the roots of 2x^(3) - 5x^(2) + 3x - 1 = 0 then (1)/(alpha beta ) + (1)/(beta gamma) + (1)/(gamma alpha) =

If alpha , beta , gamma are the roots of x^3 +px^2 +qx +r=0 then find sum (1)/( alpha )

If alpha, beta , gamma are the roots of x^(3) - px^(2) + qx - r = 0 then alpha^(2) + beta^(2) + gamma^(2) =