Let alpha and beta be the roots of x^2-x...

Let `alpha and beta` be the roots of `x^2-x+p=0 and gamma and delta` be the root of `x^2-4x+q=0.` If `alpha,beta,and gamma,delta` are in G.P., then the integral values of `p and q` , respectively, are

-2,- 32

-2,3

-6,3

- 6, - 32.

Text Solution

Verified by Experts

Topper's Solved these Questions

SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise EXERCISE|435 Videos
RELATIONS AND FUNCTIONS
MODERN PUBLICATION|Exercise EXERCISE|226 Videos
SETS
MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If alpha,beta,gamma,delta are in GP, then common ratio of GP is

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If alpha,beta,gamma,delta are in AP, then common difference of AP is

If alpha and beta are the roots of x^2+x+1=0 , then alpha^16 + beta^16 =

Let alpha and beta be roots of the equation X^(2)-2x+A=0 and let gamma and delta be the roots of the equation X^(2)-18x+B=0 . If alpha lt beta lt gamma lt delta are in arithmetic progression then find the valus of A and B.

If alpha, beta, gamma are the roots fo x^(3)-x^(2)+ax+b=0 and beta, gamma, delta are the roots of x^(3)-4x^(2)+mx+n=0 . If alpha, beta, gamma and delta are in A.P. with common difference d then

Suppose alpha, beta are roots of ax^(2)+bx+c=0 and gamma, delta are roots of Ax^(2)+Bx+C=0 . If a,b,c are in GP as well as alpha,beta, gamma, delta , then A,B,C are in:

If alpha and beta are the roots of 4x^2 + 3x + 7 = 0 then the value of alpha beta

If alpha and beta is the root of the equation x^2-3x+2=0 then find the value of alpha^2 + beta^2 + 2alphabeta

If alpha a n d beta are the roots of x^2-3x+2=0 find the value of (1+ alpha )(1+ beta ).

If alpha, beta are the roots of the equation x^(2)-2x-a^(2)+1=0 and gamma, delta are the roots of the equation x^(2)-2(a+1)x+a(a-1)=0 such that alpha, beta epsilonn (gamma, delta) find the value of a .

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE

Consider an infinite geometric series with first term a and common rat...
Text Solution
|
Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^...
Text Solution
|
Let alpha and beta be the roots of x^2-x+p=0 and gamma and delta be th...
Text Solution
|
Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd...
Text Solution
|
If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...
Text Solution
|
Suppose a,b,c are in AP and a^(2),b^(2),c^(2) are in GP, If agtbgtc an...
Text Solution
|
5th term of a G.P. is 2, then the product of first 9 terms is:
Text Solution
|
Find the sum of n terms of the series 1. 2^2+2. 3^2+3. 4^2+
Text Solution
|
If the A.M of two numbers is 9 and G.M is 4, then these numbers are ro...
Text Solution
|
Let Tr be the rth term of an A.P. whose first term is a and common dif...
Text Solution
|
An infinite G.P. has first term ‘x’ and sum ‘5’, then x belongs to ,
Text Solution
|
If x= sum(n=0)^(oo) a^n, y=sum(n=0)^(oo) b^n, z= sum(n=0)^(oo) c^n, wh...
Text Solution
|
In the quadratic equation ax^2 + bx + c = 0. if delta = b^2-4ac and al...
Text Solution
|
The value of underset(n=1)overset(10)sum (sin . (2 n pi)/(11)- cos. (2...
Text Solution
|
Let a(1),a(2),a(3),"........." be terms are in AP, if (a(1)+a(2)+".......
Text Solution
|
If a geometric progression consisting of positive terms, each term equ...
Text Solution
|
The first two terms of a geometric progression add upto 12 the sum of ...
Text Solution
|
1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+...oo=
Text Solution
|
If the sum of first n terms of an AP is cn^(2), then the sum of square...
Text Solution
|
A person is to count 4500 currency notes, Let an denote the number of ...
Text Solution
|