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Algebra - 2 - Quadratic Equations || Quantitative Aptitude || CAT 2021 || 14 September
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Question 1
What is the value of m in the quadratic equation x2 + mx +24 = 0; if one of its roots is 3/2
Question 2
If 3x2 – 11x + 7 = 0, then what is the value of 
?
?
Question 3
Roots of the quadratic equation x2 + 5x – 7 = 0 are a and b. And equation 2x2 + px + q = 0 has roots as (a + 2) and (b + 2). Find p − q.
Question 4
The sum of the squares of two numbers is 386. If one of the numbers is 5, the other will be
Question 5
If 
where x is real and positive, find the value of 
.
where x is real and positive, find the value of . Question 6
If (x – 2) and (x – 4) are factors of x2 + bx + c = 0, then find the values of b and c.
Question 7
If -2, is a root of 2x2 – x + k = 0, what is the value of k?
Question 8
If x − y = 2 and x2 + y2 = 20, then value of (x + y)2 is
Question 9
If x2 – 3x + 1 = 0, then the value of 
will be
will be Question 10
If α and β are the roots of the equation x2 + x – 7 = 0; then find the equation whose roots are α2/ β and β2/ α?
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