If the difference between the roots of x...

If the difference between the roots of `x^2+ax+b=0` is same as that of `x^2+bx+a= 0` `a!=b`, then:

A

`a+b+4=0`

B

`a+b-4=0`

C

`a-b-4=0`

D

`a-b+4=0`

Text Solution

Verified by Experts

The correct Answer is:

A

Topper's Solved these Questions

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

Similar Questions

Explore conceptually related problems

If the difference between the roots of x^(2)+ax+b=0 is same as that of x^(2)+bx+a=0a!=b, then:

If the difference between the roots of x^2+ax+b=0 is equal to the difference between the roots of x^2+px+q=0 then a^2-p^2=

If the difference between the corresponding roots of x^(2)+ax+b=0and x^(2)+bx+a=0 is same and a ne b, then

If a!=b and differences between the roots of the equations x^2+ax+b=0 and x^2+bx+a=0 is the same then (A) a+b+4=0 (B) a+b-4=0 (C) a-b+4=0 (D) a-b-4=0

If the difference between the corresponding roots of the equations x^(2)+ax+b=0 and x^(2)+bx+a=0(a1=b) si the same, find the value of a+b .

If the difference of the roots of the equation x^(2)-5x+6=0 is same as the difference of the roots of the equation x^(2)+bx+c=0 then minimum value of x^(2)+bx+c=0 is _________

What is the magnitude of difference of the roots of x^2 – ax + b = 0 ?

The roots of ax^(2) - bx + 2x = 0 are in the ratio of 2 : 3 , then "____" .

if the difference of the roots of the equation x^(2)+ ax +b=0 is equal to the difference of the roots of the equation x^(2) +bx +a =0 ,then

VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (SUBJECTIVE TYPE PROBLEMS)

If the difference between the roots of x^2+ax+b=0 is same as that of x...
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=(1), 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 ax ^(4)+bx^(3)-x ^(2)+2x+3 has the remainder 4x +3 w...
Text Solution
|
The smallest value of k for which both the roots of the equation x^2-8...
Text Solution
|
If x ^(2) -3x+2 is a factor of x ^(4) -px ^(2) +q=0, then p+q=
Text Solution
|
The expression x^2 + 2xy + ky^2 + 2x + k = 0 can be resolved into two ...
Text Solution
|
The curvey y = (a +1) x ^(2) + 2 meets the curve y = ax +3, a ne -1 in...
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
|