If alpha, beta are the rots of a x^(2)+b...

If `alpha, beta` are the rots of a `x^(2)+b x+c=0` and `alpha+h, beta+h` are the roots of` p x^(2)+q x+r=0` then h=

`(b)/(a)-(q)/(p)`

`(1)/(2)((b)/(a)-(q)/(p))`

`-(1)/(2)((a)/(b)-(p)/(q))`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PROGRESSIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|97 Videos
SETS,RELATIONS AND FUNCTIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|285 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta the roots of x^(2) + px + q = 0 and alpha^(4), beta^(4) are the roots of x^(2) - rx + s = 0 , then the equation x^(2) - 4qx + 2q^(1) - r = 0 has always :

If alpha and beta are the roots of x^(2) + qx + 1 = 0 and gamma, delta the roots of x^(2) + qx + 1 = 0 , then the value of (alpha - gamma ) (beta - gamma ) (a + delta ) beta + delta) is :

If alpha,beta are the roots of x^(2)-3 x+5=0 and gamma, delta are the roots of x^(2)+5 x-3=0 , then the equation whose roots are alpha gamma+beta delta and alpha delta+beta gamma is

If alpha,beta be the roots of x^(2)+x+2=0 and gamma, delta be the roots of x^(2)+3 x+4=0 then (alpha+gamma)(alpha+delta)(beta+gamma)(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 , delta are in G.P., then the integral value sof p and q respectively, are :

If alpha, beta are the roots of 4 x^(2)-16 x+c=0 , c >0 such that 1

Let alpha, beta be the roots of the equation x^(2) - px + r = 0 and (alpha)/(2) , 2 beta be the roots of the equation x^(2) - qx + r = 0 . Then the value of r is :

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

If alpha,beta are the roots of x^2+p x+q=0a n dgamma,delta are the roots of x^2+r x+s=0, evaluate (alpha-gamma)(alpha-delta)(beta-gamma)(beta-delta) in lterms of p ,q ,r ,a n dsdot Deduce the condition that the equation has a common root.

Let alpha,beta be the roots of the equation x^(2)-px+r=0 and (alpha)/(2),2beta be the roots of the equation x^(2)-qx+r=0 then the value of r is

HIMALAYA PUBLICATION-QUADRATIC EQUATIONS AND EXPRESSION-Question Bank

If alpha and beta are the roots of x^(2)+x+1=0, then alpha^(16)+beta^(...
Text Solution
|
If x^(2)-3 x+1=0, then (x^(14)+1)/(x^(7))=
Text Solution
|
If alpha, beta are the rots of a x^(2)+b x+c=0 and alpha+h, beta+h are...
Text Solution
|
Let alpha, beta be the roots of x^(2)+a x+1=0. Then the equation whose...
Text Solution
|
Let alpha, beta be the roots of x^(2)+x+1=0. The equation whose roots ...
Text Solution
|
If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roo...
Text Solution
|
If alpha, beta are the roots of a x^(2)+b x+c=0 the equation whose roo...
Text Solution
|
If alpha,beta are the roots of x^(2)-3 x+5=0 and gamma, delta are the...
Text Solution
|
If alpha, beta are the roots of 2 x^(2)-x+7=0 then the equation whose ...
Text Solution
|
If 2+i sqrt(3) is a root of the equation x^(2)+p x+q=0, where p, q are...
Text Solution
|
If p,q,r , three positive real numbers are in A.P., then the roots of ...
Text Solution
|
If 2 lies between the roots 'of x^(2)+(a+1) x-a-2=0 then a in
Text Solution
|
If the roots of (a^(2)+b^(2)) x^(2)+2(a c+b d) x+(c^(2)+d^(2))=0 are e...
Text Solution
|
If one root of x^(2)-x+3 a=0 is double the root of x^(2)-x+a=0 then no...
Text Solution
|
If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...
Text Solution
|
If alpha, beta are the roots of 4 x^(2)-16 x+c=0, c >0 such that 1<alp...
Text Solution
|
If a, b, c are real, c ge 0 and a x^(2)+b x+c=0 has no real roots, the...
Text Solution
|
The value of p for which the sum of the squares of the roots of 2 x^(2...
Text Solution
|
If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambd...
Text Solution
|
If the roots of the equation x^(2)-b x+c=0 be two eanseeutive integers...
Text Solution
|