If the roots of the equation x^(2)+2bx+c...

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

A

`((alpha - beta)^2)/(4)`

B

`(alpha + beta)^(2)- alpha beta`

C

`(alpha + beta)^(2)+ alpha beta`

D

`((alpha + beta)^2)/(4)- alpha beta`

Text Solution

Verified by Experts

The correct Answer is:

A

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 a, b and c are in geometric progression and the roots of the equation ax^(2) + 2bx + c = 0 are alpha and beta and those of cx^(2) + 2bx + a = 0 are gamma and delta

If the roots of the equation x^(2)-bx+c=0 are two consecutive integers, then b^(2)-4c is

If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of the equation x^(2)+bx+q=0 are -1,-2, then the roots of the equation x^(2)+bx+c=0 are

If alpha and beta are thr roots of the equation ax^(2) + bx + c = 0 then ( alpha + beta )^(2) is ……… .

The roots of the equation 2x^(2)-7x+5=0 are alpha and beta . Without solving the root find (alpha)/(beta)+(beta)/(alpha)

If alpha , beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n) , then aS_(n+1)+bS_(n)+cS_(n-1)=(n ge 2)

The roots of the equation 2x^(2)-7x+5=0 are alpha and beta . Without solving the root find (alpha+2)/(beta+2)+(beta+2)/(alpha+2)

If roots of the equation a x^2+b x+c=0 are alphaa n dbeta , find the equation whose roots are 1/alpha,1/beta (ii) -alpha,-beta (iii) (1-alpha)/(1+alpha),(1-beta)/(1+beta)

If alpha and beta are the roots of the equation ax^(2)+bx+c=0 then (alpha+beta)^(2) is …………..

If the both roots of the equation x^(2)-bx+c=0 be two consecutive integers, then b^(2)-4c equals

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

If alpha" and "beta are the roots of the equation x^(2)+3x-4=0, then ...
Text Solution
|
The value of x such that 3^(2x)-2(3^(x+2))+81=0 is
Text Solution
|
If the roots of the equation x^(2)+2bx+c=0 are alpha" and "beta, " the...
Text Solution
|
The equation whose roots are the squares of the roots of the eqation 2...
Text Solution
|
z and omega are two nonzero complex number such that |z|=|omega|" and ...
Text Solution
|
If |z-4| lt |z-2|, its solution is given by
Text Solution
|
The locus of the centre of a circle which touches the circle |z-z(1)|=...
Text Solution
|
If alpha ne beta" but "alpha^(2)=5 alpha-3" and "beta^(2)= 5 beta-3 th...
Text Solution
|
Difference between the corresponding roots of x^(2)+ax+b=0" and "x^(2)...
Text Solution
|
Product of real roots of the equation x^(2)+|x|+9=0
Text Solution
|
If p and q are the roots of the equation x^(2)+px+q=0, then
Text Solution
|
If a,b , c are distinct +ve real numbers and a^(2)+b^(2)+c^(2)=1" then...
Text Solution
|
The value of a for which one root of the quadratic equation (a^(2)-5a+...
Text Solution
|
If the sum of the roots of the quadratic equation ax^(2)+bx+c=0 is equ...
Text Solution
|
The number of real solution of the equation x^(2)-3|x|+2=0 is
Text Solution
|
If ((1+i)/(1-i))^(x)=1, then
Text Solution
|
If z and omega are two non-zero complex numbers such that |z omega|=1"...
Text Solution
|
Let z(1)" and "z(2) be two roots of the equation z^(2)+az+b=0, z being...
Text Solution
|
Let two numbers have arithmetic mean 9 and geometric mean 4. Then thes...
Text Solution
|
If (1-p) is a root of quadratic equation x^(2)+px+(1-p)=0 then its roo...
Text Solution
|