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IIT-JEE-Mathematics-Mains-2003



MAINS
_______________________________________________________________ 


1. If z1 and z2 are two complex numbers such that 

|z1| < 1 < |z1|then prove that 

                iit-jee-mains-paper-question 


2. Find a point on the curve x2 + 2y2 = 6 whose distance from the line x + y = 7, is minimum. 


3. If matrix 

             mains-matrix-question 

where a, b, c are real positive numbers, abc = 1 and AT A = I, then find the value of a3 + b3 + c3. 


4. Prove that 

          mains-mathematics-question 


5. If f is an even function then prove that 

        even-function 




 

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