If the equation x^2+ax+12=0 , x^2 +bx +...

If the equation `x^2+ax+12=0 , x^2 +bx +15 =0 and x^2 +(a+ b) x+ 36 =0` have a common positive root, then `b- 2a` is equal to

A

`-6`

B

22

C

6

D

`-22`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

QUADRATIC EQUATIONS
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|42 Videos
QUADRATIC EQUATIONS
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos
PROBABILITY
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos
SEQUENCE AND SERIES
VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If the equation x ^(2) +ax+12 =9, x ^(2) +bx +15 =0 and x^(2) + (a+b) x +36=0 have a common positive root, then b+2a equal to.

If equations x^2+a x+12=0. x^2+b x+15=0a n dx^2+(a+b)x+36=0, have a common positive root, then find the values of aa n dbdot

If x^(2)+ax+b=0 and x^(2)+bx+a=0,(a ne b) have a common root, then a+b is equal to

If the equation x^(2 )+ 2x + 3 = 0 and ax^(2) +bx+c=0, a, b, c in R , have a common root, then a : b:c is

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

If the equations ax^2 + bx + c = 0 and x^2 + x + 1= 0 has one common root then a : b : c is equal to

If the quadratic equation ax^(2) + 2cx + b = 0 and ax^(2) + 2x + c = 0 ( b != c ) have a common root then a + 4b + 4c is equal to

If x^(2) + ax + b = 0, x^(2) + bx + a = 0 ( a != 0 ) have a common root, then a + b =

If the equations ax^2 + bx + c = 0 and x^3 + x - 2 = 0 have two common roots then show that 2a = 2b = c .

If the equations x^2+bx-1=0 and x^2+x+b=0 have a common root different from -1 then |b| is equal to

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

If the equation x^2+ax+12=0 , x^2 +bx +15 =0 and x^2 +(a+ b) x+ 36 =0...
Text Solution
|
Let f (x) =ax ^(2) + bx+ c where a,b,c are integers. If sin ""pi/7. si...
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--(1), w...
Text Solution
|
The number of positive integral values of , m le 16 for which the equa...
Text Solution
|
If the equation (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) + 17 x +7 is perfect square ...
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 roots of the equation x^(2)-8kx...
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 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)=0 be a polynomial equation of the least possible degree, with...
Text Solution
|
The range of value's of k for which the equation 2 cos^(4) x - sin^(4...
Text Solution
|