If x^(2)+px+q=0 has the roots alpha" and...

If `x^(2)+px+q=0` has the roots `alpha" and "beta`, then the value of `(alpha-beta)^(2)` is equal to

`p^(2)-4q`

`(p^(2)-4q)^(2)`

`p^(2)+4q`

`(p^(2)+4q)^(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
BINOMIAL THEOREM
NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
CONIC SECTIONS
NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the roots of x^(2)+6x-4=0 , find the values of (alpha-beta)^(2) .

IF cot ( alpha + beta ) =0 then sin ( alpha + 2 beta ) is equal to

IF cos ( alpha + beta ) =0 then sin ( alpha + 2 beta ) is equal to

If alpha and beta are the roots of x^(2)+6x-4=0 , find the value of (alpha-beta)^(2) .

If alpha" and "beta are the roots of x^(2)-ax+b^(2)=0 , then alpha^(2)+beta^(2) is equal to

If alpha and beta be the roots of equation x^(2) + 3x + 1 = 0 then the value of ((alpha)/(1 + beta))^(2) + ((beta)/(1 + alpha))^(2) is equal to

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 the quadratic equation x^(2)-36x+lambda=0 has roots alpha and beta such that alpha , beta in N and (lambda)/(5) cancel in Z and lambda assumes minimum possible value then (sqrt(alpha+2)sqrt(beta+2))/(|alpha-beta|) 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 and beta are the roots of the equation x^2 + 2x +8=0 then the value of (alpha)/(beta) + (beta)/(alpha) is ………………….. .

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS

If alpha" and "beta are the roots of the equation ax^(2)+bx+c=0, (c ne...
Text Solution
|
If a and b are the roots of the equation x^(2)+ax+b=0, a ne 0, b ne 0,...
Text Solution
|
If x^(2)+px+q=0 has the roots alpha" and "beta, then the value of (alp...
Text Solution
|
The value of i-i^(2)+i^(3)-i^(4)+"……."-i^(100) is equal to
Text Solution
|
If the imaginary part of (2+i)/(ai-1) is zero, where a is a real numbe...
Text Solution
|
The argument of the complex number ((i)/(2)-(2)/(i)) is equal to
Text Solution
|
Let z(1)=3+4i" and "z(2)= -1+2i. Then |z(1)+z(2)|^(2)-2(|z(1)|^(2)+|z(...
Text Solution
|
If z(1)" and "z(2) are two non-zero complex numbers such that |z(1)+z(...
Text Solution
|
If the equation x^(2)-(2+m)x+(m^(2)-4m+4)=0 in x has equal roots, then...
Text Solution
|
The number of integral values of b, for which the equation x^(2)+bx-16...
Text Solution
|
If (1+i) is a root of the equation x^(2)-x+(1-i)=0, then the other roo...
Text Solution
|
If the roots of the quadratic equation 3x^(2)+2x+a^(2)-a=0 in x are of...
Text Solution
|
The number of real roots of the equation |x|^(2)-3|x|+2=0 is
Text Solution
|
Let a,b, c be positive real numbers. If (x^(2)-bx)/(ax-c)=(m-1)/(m+1) ...
Text Solution
|
The equation k sinx + cos2x= 2k-7 has a solution if
Text Solution
|
If z(k)=e^(i thetak) for k= 1, 2, 3, 4 where i^(2)= -1, and if |sum(k=...
Text Solution
|
If z=(-1)/(2)+i(sqrt(3))/(2), " then "8+10z+7z^(2) is equal to
Text Solution
|
Let z ne 1 be a complex number and let omeg= x+iy, y ne 0. If (omega- ...
Text Solution
|
The locus of z such that |(1+iz)/(z+i)|=1 is
Text Solution
|
The value of sum(k=0)^(n)(i^(k)+i^(k+1)), where i^(2)= -1, is equal to
Text Solution
|