Solved CAT Questions (Algebra)  Set 7

Q1. (CAT 2003 Leaked)
Consider the following two curves in the XY plane
y = x^3 + x^2 + 5
y = x^2 + x + 5
Which of the following statements is true for −2 ≤ x ≤ 2?
(1) The two curves intersect once
(2) The two curves intersect twice
(3) The two curves do not intersect
(4) The two curves intersect thriceQ2.
Q3.
Q4.
Q5.