Let alpha, beta be the roots of the equa...

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

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:

D

Topper's Solved these Questions

QUADRATIC EQUATIONS & INEQUATIONS
VMC MODULES ENGLISH|Exercise JEE Main ( Archive ) (Fill in the blanks )|3 Videos
PROPERTIES OF TRIANGLE
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|50 Videos
QUIZ
VMC MODULES ENGLISH|Exercise MATHEMATICS|30 Videos

Similar Questions

Explore conceptually related problems

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

If tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!=0) then

If alphaand beta the roots of the equation px^2+qx+1=0, find alpha^2beta^2.

If alpha and beta are the roots of the equation px^(2) + qx + 1 = , find alpha^(2) beta + beta^(2)alpha .

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)

If alpha and beta are the roots of the equation x^2+4x + 1=0(alpha > beta) then find the value of 1/(alpha)^2 + 1/(beta)^2

If alpha and beta be the roots of the equation x^(2) + px - 1//(2p^(2)) = 0 , where p in R . Then the minimum value of alpha^(4) + beta^(4) is

If alpha and beta are the roots of the equation x^(2)-px +16=0 , such that alpha^(2)+beta^(2)=9 , then the value of p is

The roots of the equation px^(2)-2(p+1)x+3p=0 are alpha and beta . If alpha-beta=2 , calculate the value of alpha,beta and p.

VMC MODULES ENGLISH-QUADRATIC EQUATIONS & INEQUATIONS -JEE Advance ( Archive )

Let alpha, beta be the roots of the equationpx^(2)+qx+r=0, p!=0. If p,...
Text Solution
|
Let p and q real number such that p!= 0,p^3!=q and p^3!=-q. if alpha a...
Text Solution
|
Let a,b,c be the sides of a triangle. Now two of them are equal to lam...
Text Solution
|
If alpha and beta are the roots of the equation x^2+ax+b=0 and alpha^4...
Text Solution
|
The sum of all real values of x satisfying the equation (x^(2) -5x+5)...
Text Solution
|
Let a and b are the roots of the equation x^2-10 xc -11d =0 and those...
Text Solution
|
If alpha,beta are the roots of a x^2+b x+c=0,(a!=0) and alpha+delta,be...
Text Solution
|
If one root of the quadratic equation ax^(2) + bx + c = 0 is equal ...
Text Solution
|
If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...
Text Solution
|
If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...
Text Solution
|
If a in R and the equation =-3(x-[x])^(2)+2(x-[x])+a^(2)=0 (where [x...
Text Solution
|
If x^(2) + (a - b) x + (1 - a - b) = 0, where a , b in R , then find ...
Text Solution
|
Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbet...
Text Solution
|
The smallest value of k for which both roots of the equation x^(2)-8kx...
Text Solution
|
Let a, b, c be real numbers, a != 0. If alpha is a zero of a^2 x^2+bx...
Text Solution
|
Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,...
Text Solution
|
Let (x(0), y(0)) be the solution of the following equations: (2x)^("...
Text Solution
|
If 3^(x)=4^(x-1), then x is equal to
Text Solution
|
The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...
Text Solution
|
The largest interval for whichx^(12)+x^9+x^4-x+1>0 -4<xlt=0 b. 0<x<1 ...
Text Solution
|