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1

### IIT-JEE 2011 Paper 2 Offline

Numerical
The number of distinct real roots of $${x^4} - 4{x^3} + 12{x^2} + x - 1 = 0$$

2

### IIT-JEE 2011 Paper 1 Offline

Numerical
The minimum value of the sum of real numbers $${a^{ - 5}},\,{a^{ - 4}},\,3{a^{ - 3}},\,1,\,{a^8}$$ and $${a^{10}}$$ where $$a > 0$$ is

3

Numerical

### Joint Entrance Examination

JEE Main JEE Advanced WB JEE

### Graduate Aptitude Test in Engineering

GATE CSE GATE ECE GATE EE GATE ME GATE CE GATE PI GATE IN

NEET

Class 12