SECTION 4
• This section contains THREE (03) questions.
• The answer to each question is a NON-NEGATIVE INTEGER.
• For each question, enter the correct integer corresponding to the answer using the mouse and the on-screen virtual numeric keypad in the place designed to enter the answer.
• Answer to each question will be evaluated according to the following marking scheme:
Full Mark : +4 If ONLY the correct integer is entered;
Zero Marks : 0 In all other cases.
For x
R, the number of real roots of the equation 3x 2 - 4|x 2 -l|+x-l = 0 is_____
Text Solution
Verified by Experts4
(4)

3x 2 - 4|x 2 - 11 + x - 1 = 0
Case-I: | x|
1
3x 2 - 4x 2 + 4 + x - 1 = 0
-x 2 + x + 3 = 0
x 2 -x-3 = 0


3x 2 + 4x 2 -4 + x-1=0
7x 2 + x - 5 = 0

So, number of real roots = 4
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