if alpha&betaare the roots of the quadra...

if `alpha&beta`are the roots of the quadratic equation `ax^2 + bx + c = 0`, then the quadratic equation `ax^2-bx(x-1)+c(x-1)^2 =0` has roots

A

`(2 alpha +1)/(alpha -1) , (2 beta+1)/(beta -1)`

B

`(2 alpha -1)/(alpha +1) , (2 beta)/(alpha +1), (2 beta -1)/(beta +1)`

C

`(alpha +1)/(alpha -2) , (beta +1)/(beta -2)`

D

`(2 alpha +3)/(alpha -1), (2 beta+3)/(beta -1)`

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

QUADRATIC EQUATIONS
VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|44 Videos
QUADRATIC EQUATIONS
VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos
PROBABILITY
VIKAS GUPTA (BLACK BOOK)|Exercise Exercise -5 : Subjective Type problems|12 Videos
SEQUENCE AND SERIES
VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots of the quadratic equation ax^(2)+bx+c=0 then alpha beta =

Find the root of the quadratic equation bx^2-2ax+a=0

If alpha , beta are the roots of the quadratic equation ax^(2) + bx + c = 0 , then the quadratic equation whose roots are alpha^(3) , beta^(3) is

Let alpha,beta be the roots of the quadratic equation ax^(2)+bx+c=0 then the roots of the equation +b(x+1)(x-2)+c(x-2)^(2)=0 are:-

If alpha,beta are the roots of the equations ax^(2)+bx+c=0 then the roots of the equation a(2x+1)^(2)+b(2x+1)(x-1)+c(x-1)^(2)=0

If alpha,beta are the roots of the equation ax^(2)+bx+c=0, then find the roots of the equation ax^(2)-bx(x-1)+c(x-1)^(2)=0 in term of alpha and beta.

The quadratic equation ax^(2)+5bx+2c=0 has equal, roots if

If alpha,beta are the roots of the quadratic equation x^(2)+bx-c=0, the equation whose roots are b and c, is

VIKAS GUPTA (BLACK BOOK)-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)

if alpha&betaare the roots of the quadratic equation ax^2 + bx + c = 0...
Text Solution
|
Let f(x) = ax^2 + bx + c where a,b,c are integers. If sin\ pi/7 * sin\...
Text Solution
|
Let a, b, c, d be distinct integers such that the equation (x - a) (x ...
Text Solution
|
Consider the equation (x^(2) +x+1) ^(2) - (m-3)(x^(2) +x+1) +m=0, wher...
Text Solution
|
The number of positive integral values of m, m le 16 for which the equ...
Text Solution
|
If the equatio (m^(2) -12 )x^(4) -8x ^(2)-4=0 has no real roots, then ...
Text Solution
|
The least positive integral value of 'x' satisfying (e^x-2)(sin(x+pi/...
Text Solution
|
The integral values of x for which x^2 +17x+71 is perfect square of a ...
Text Solution
|
Let p(x) =x^6-x^5-x^3-x^2-x and alpha, beta, gamma, delta are the root...
Text Solution
|
The number of real values of 'a' for which the largest value of the fu...
Text Solution
|
The number of all values of n, (whre n is a whole number ) for which t...
Text Solution
|
The number of negative intergral values of m for which the expression ...
Text Solution
|
If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided...
Text Solution
|
The smallest value of k, for which both the roots of the equation, x^2...
Text Solution
|
If (x^2- 3x + 2) is a factor of x^4-px^2+q=0, then the values of p...
Text Solution
|
The expression x^2 + 2xy + ky^2 + 2x + k = 0 can be resolved into two ...
Text Solution
|
The curve y=(lambda=1)x^2+2 intersects the curve y=lambdax+3 in exactl...
Text Solution
|
Find the number of integral vaues of 'a' for which the range of functi...
Text Solution
|
When x ^(100) is divided by x ^(2) -3x +2, the remainder is (2 ^(k +1)...
Text Solution
|
Let p (x) be a polynomial equation of least possible degree, with rati...
Text Solution
|
The range of values k for which the equation 2 cos ^(4)x-sin ^(4)x +k=...
Text Solution
|