If aa n db(!=b) are the roots of the equ...

If `aa n db(!=b)` are the roots of the equation `x^2+a x+b=0,` then find the least value of `x^2+a x+b(x in R)dot`

A

`2/3`

B

`9/4`

C

`-9/4`

D

1

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 a and b(!=0) are the roots of the equation x^2+a x+b=0, then find the least value of x^2+a x+b(x in R)dot

If a and b(!=0) are the roots of the equation x^2+ax+b=0 then the least value of x^2+ax+b is

If x=2/3 and x=-3 are the roots of the equation a x^2+7x+b=0, find the values of a and b dot

If a\ a n d\ b are roots of the equation x^2-p x+q=0 ,then write the value of 1/a+1/bdot

If a\ a n d\ b are roots of the equation x^2-x+1=0 then write the value of a^2+b^2dot

The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0 are

Let aa n db be the roots of the equation x^2-10 c x-11 d=0 and those of x^2-10 a x-11 b=0a r ec ,d then find the value of a+b+c+d when a!=b!=c!=d

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

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

In a A B C , if sinAa n dsinB are the roots of the equation c^2x^2-c(a+b)x+a b=0, then find sin c

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

If aa n db(!=b) are the roots of the equation x^2+a x+b=0, then find t...
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
|