If the minimum value ofx^2+2x+3 is m and...

If the minimum value of`x^2+2x+3` is `m` and maximum value of `-x^2+4x+6` is M then `m+M=`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

COMPLEX NUMBERS AND QUADRATIC EQUATIONS
AAKASH INSTITUTE|Exercise Assignment (Section -C) (objective Type Questions ( more thena one options are correct )|35 Videos
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
AAKASH INSTITUTE|Exercise Assignment (Section -D) Linked comprehension Type Questions|13 Videos
COMPLEX NUMBERS AND QUADRATIC EQUATIONS
AAKASH INSTITUTE|Exercise Assignment (Section -A) (objective Type Questions ( one option is correct)|47 Videos
BINOMIAL THEOREM
AAKASH INSTITUTE|Exercise Assignment (section-J) Objective type question (Aakash Challengers Questions)|4 Videos
CONIC SECTIONS
AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos

Similar Questions

Explore conceptually related problems

If y ^(2)(y^(2) -6) + x ^(2) -8x +24 =0 and the minimum value of x ^(2) + y^(4) is m and maximum value is M, then find the value of M-2m.

The minimum value of x^(2)+7x-5 is m at x=lambda then m+lambda =

Let minimum and maximum value of y=2x^(3)-15x^(2)-36x+1AA x in[0,3] is m and M. Then

Given that x,y,z are positive real such that xyz=32. If the minimum value of x^(2)+4xy+4y^(2)+2z^(2) is equal m, then the value of m/16 is.

Let f(x)-|x-1|+|x-2| . I = int_(0)^(1)f(x)dx , M - the minimum value of f , N=f'(x) for x < - 4 and C- the value of f''(4) .Then the value of (M^(2)-N^(2)-IC)/(2) is :

Consider the equation log _(2)^(2) x -4 log _(2)x-m^(2) -2m -13=0, m in R. Let the real roots of the equation be x _(1), x _(2) such that x _(1)lt x _(2). The sum of maximum value of, x _(1) and minimum value of x _(2) is :

Let f(x)=|x-1|+|x-2|,I=int_(0)^(3)f(x)dx , M = the minimum value of f . N=f'(x) for xlt-4 and c= the value of f'(4) .Then the value of (M^(2)-N^(2)-IC)/(2) is

AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Assignment (Section -B) (objective Type Questions ( one option is correct)

If 1,2,3 are the roots of the equation x^(3) + ax^(2) + bx + c=0 , th...
Text Solution
|
Consider that f(x) =ax^(2) + bx +c, D = b^(2)-4ac , then which of the...
Text Solution
|
If the minimum value ofx^2+2x+3 is m and maximum value of -x^2+4x+6 is...
Text Solution
|
for all x in R if mx^2-9mx+5m+1gt0 then m lies in the interval
Text Solution
|
If one root of equation (l-m) x^2 + lx + 1 = 0 be double of the other ...
Text Solution
|
if p,q,r are real numbers satisfying the condition p + q +r =0 , then ...
Text Solution
|
The roots of the equation x^(3) -2x^(2) -x +2 =0 are
Text Solution
|
IF alpha , beta are the roots of the equation x^2+2ax +b=0 , the...
Text Solution
|
The set of all values of ' a ' for which the quadratic equation 3x^2+2...
Text Solution
|
Let a,b,c in R and a ne 0 be such that (a + c)^(2) lt b^(2) ,the...
Text Solution
|
If p + iq be one of the roots of the equation x^(3) +ax +b=0 ,then 2...
Text Solution
|
If a(1),a(2),a(3),a(4),,……, a(n-1),a(n) " are distinct non-zero real...
Text Solution
|
If coefficients of the equation ax^2 + bx + c = 0 , a!=0 are real and...
Text Solution
|
If the sum of the roots of the quadratic equation ax^2 + bx + c = 0 ( ...
Text Solution
|
The number of irrational roots of the equation (x-1) (x-2) (3x-2) (...
Text Solution
|
consider the following statement S(1) : If x is in radian and 2sin^(...
Text Solution
|
If a,b are real, then the roots of the quadratic equation (a-b)x^(2)-5...
Text Solution
|
If alpha, beta are the roots of the equation ax^(2) -bx +c=0 then eq...
Text Solution
|
If a, b, c are in GP, then the equations ax^2 +2bx+c = 0 and dx^2 +2ex...
Text Solution
|
Find the least integral value of k for which the equation x^(2)-2(k+2)...
Text Solution
|