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Introduction:

### Quadratic Equations is one of the most important topics that features in CAT Algebra. Consisting of problems that are based on pure algebraic concepts, it requires you to have a deep understanding of the topic and also couple it with extensive practice. In order to master this topic, you need to make sure you solve a fair number of quadratic equation problems from this topic.

Question 1: If the products of the roots of the equation

then the roots are real for a = ……..
(a) 3
(b) -3
(c) 3 or -3
(d) 0

Option A

Question 2: If one root is square of the other root of the equation x2 +ax+b then the relation between a and b is

Option a

Let the roots of x2 +ax+b be α and α2

Question 3: If p, q, r are the sides of a triangle ABC such that

has real roots, then

Option a

Since, roots are real, therefore

Question 4: Let a, b be the roots of the equation

Option d

The equation x2 –px +r = 0 has roots a,

b and the equation x2 –qx +r = 0  has roots a/2, 2b

Question 5: Let α and β be the roots of

(a) 1
(b) 2
(c) 3
(d) 4