If alpha,beta are the roots of x^(2)-px+...

If `alpha,beta` are the roots of `x^(2)-px+1=0` and `gamma` is a root of `x^(2)+px+1=0`, then `(alpha+gamma)(beta+gamma)` is

0 (zero)

`-1`

Text Solution

Verified by Experts

Topper's Solved these Questions

QUESTION PAPER 2014
WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
QUESTION PAPER 2016
WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots x^(2)-px+1=0 and gamma "is a root of "x^(2)+px+1=0 ,then (alpha+gamma)(beta+gamma) is -

If alpha,beta are the roots x^2+px+q =0 and gamma,delta are the roots of x^2+rx+s =0, evaluate (alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta) in terms of p,q,r and s. Deduce the condition that the equation may have a common root.

If alpha,beta be the roots x^2+px-q=0 and gamma,delta be the roots of x^2+px+r=0, p+rphi0 ,then ((alpha-gamma)(alpha-delta))/((beta-gamma)(beta-delta)) is equal to

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta -alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alpha,beta are roots of x^2+p x+1=0a n dgamma,delta are the roots of x^2+q x+1=0 , then prove that q^2-p^2=(alpha-gamma)(beta-gamma)(alpha+delta)(beta+delta) .

Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the roots of x^2-4x+q=0 . If alpha,beta,gamma are in GP , then the integer values of p and q respectively are:

If alpha,beta are the roots of x^2+px+q =0 and also of x^(2n)+p^n x^n+q^n=0 and if alpha/beta,beta/alpha are root of x^n+1+(x+1)^n =0, then n is

Let alpha,beta be the roots of the equation x^2-3x+a=0 and gamma,delta the roots of the equation x^2-12x+b=0 . If alpha,beta,gamma and delta are in G.P. having positive common ratio, then find the values of a and b.

If alpha, beta. gamma are the roots of x^3 + px^2 + q = 0, where q=0, ther Delta=[(1/alpha,1/beta,1/gamma),(1/beta,1/gamma,1/alpha),(1/gamma,1/alpha,1/beta)] equals

If alpha,beta,gamma are the roots of the equation x^3+p x^2+q x+r=0, then find he value of (alpha-1/(betagamma))(beta-1/(gammaalpha))(gamma-1/(alphabeta)) .

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS

Number of points having distance sqrt5 from the straight line x-2y+1=0...
Text Solution
|
Let a,b, c, d be any four real number. Then a^(n)+b^(n)=c^(n)+d^(n) ho...
Text Solution
|
If alpha,beta are the roots of x^(2)-px+1=0 and gamma is a root of x^...
Text Solution
|
Number of irrational terms in the binomial expansion of (3^(1//5)+7^(1...
Text Solution
|
The quadratic expression (2x+1)^(2)-px+qne0 for any real x is
Text Solution
|
Let f:RtoR be defined as f(x)=(x^(2)-x+4)/(x^(2)+x+4). Then the range ...
Text Solution
|
The least value of 2x^(2)+y^(2)+2xy+2x-3y+8 for real numbers x and y i...
Text Solution
|
Let f:[-2,2]toR be a continuous function such that f(x) assumes only i...
Text Solution
|
The minimum value of costheta+sintheta+(2)/(sin2theta) for thetain(0,p...
Text Solution
|
The value of ((1+sqrt3i)/(1-sqrt3i))^(64)+((1-sqrt3i)/(1+sqrt3i))^(64)...
Text Solution
|
Find the maximum value of |z| when |z-(3)/(z)|=2, z being a complex nu...
Text Solution
|
Given that x is a real number satisfying (5x^(2)-26x+5)/(3x^(2)-10x+3)...
Text Solution
|
Let x(n)=(1-(1)/(3))^(2)(1-(1)/(6))^(2)(1-(1)/(10))^(2).............(1...
Text Solution
|
The variance of first 20 nutural numbers is
Text Solution
|
A fair coin is tossed a fixed number of times. If the probability of g...
Text Solution
|
If the letters of the word PROBABILITY are written down at random in a...
Text Solution
|
The least value of t so that the lines x=t+alpha,y+16=0 and y=ax are c...
Text Solution
|
If in a triangle DeltaABC,a^(2)cos^(2)A-b^(2)-c^(2)=0, then
Text Solution
|
{x""inR":"|cosx|gesinx}cap[0,(3pi)/(2)]
Text Solution
|
The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,co...
Text Solution
|