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Algebra - 3 - Maxima Minima in Quadratic Equations || Quantitative Aptitude || CAT 2021 || 15 September
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Question 1
Find the minimum value of x2 + 3x + 2 + |x + 2|
Question 2
If 
and m and n are the maximum and minimum value of 
, then find the value of m – n:
and m and n are the maximum and minimum value of , then find the value of m – n:Question 3
Find the minimum value of (x−4)(x−9) ?
Question 4
Find the maximum value of the expression 
Question 5
The maximum possible value of x2 + 4y2 + 9z2, subject to x + 2y + 3z = 12, where x, y and z re real numbers, is
Question 6
If x2 + 4x – 5 = 0 and y2 + 6y – 16 = 0 , then the maximum value of 
to which number ?
to which number ?Question 7
The quadratic equation 
has non-real roots. If a and b are integers and a < b < 5, what is the minimum possible value of a?
has non-real roots. If a and b are integers and a < b < 5, what is the minimum possible value of a?Question 8
If A and B are the roots of the quadratic equation x2 - (k - 3)x - 2k - 1 = 0, where k is some real number, find the minimum value of A2 + B2 + 7 (TITA)
Question 9
If x, y, z are any real numbers then the minimum possible value of x2 + 2y2 + z2 + 2yz subject to x + 2y + z = –6 is
Question 10
Find the minimum value of the function f(x) = x2 + 
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