Home
Class 12
MATHS
Let alpha and beta be the roots of equa...

Let `alpha and beta ` be the roots of equation `px^(2) + qx + r = 0, p ne 0`. If p, q , r are in A.P. and `(1)/(alpha) + (1)/(beta)` = 4, then the value of `| alpha - beta| ` is :

A

`(2 sqrt(17))/(9)`

B

`(sqrt(34))/(9)`

C

`(2 sqrt(13))/(9)`

D

` (sqrt(61))/(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL-II)|61 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

Let alpha and beta the roots of equation px^(2) + qx + =0 p ne 0 if p,q,r are in A.P and (1)/(alpha) + (1)/(beta) =4 then the value of |alpha -beta| is :

If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then alpha^(2) + beta^(2) is

Let alpha and beta be the roots of the equation x^(2)+x+1=0 . The equation whose roots are alpha^(19) and beta^(7) is

If alpha and beta (alpha lt beta) are the roots of the equation x^(2) + bx + c = 0 , where c lt 0 lt b , then

Let alpha, beta the roots of the equation (x - a) (x - b) = c , c ne 0. Then the roots of the equation (x - alpha ) x - beta) + c = 0 are :

If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0 . Then equation whose roots are (alpha + beta)^(2) and (alpha - beta)^(2) is :

Let alpha, beta be the roots of the equation x^(2) - px + r = 0 and (alpha)/(2) , 2 beta be the roots of the equation x^(2) - qx + r = 0 . Then the value of r is :

If alpha and beta are the roots of the equation ax^2 + bx +c =0 (a != 0; a, b,c being different), then (1+ alpha + alpha^2) (1+ beta+ beta^2) =

If the roots of the equation (x^(2) -bx)/(ax - c) = (lambda - 1)/(lambda + 1) are such that alpha + beta =0 , then the value of lambda is :

If alpha, beta be the roots of the equation x^2-px+q=0 then find the equation whose roots are q/(p-alpha) and q/(p-beta)