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Re: VMC entrance Exam Sample Papers
1. Find the value of 1 2 x 0 a lim tan x . a) 2 b) 2 c) 0 d) all of these 2. Evaluate dx (x )( x) , where . a) 0 b) 2 c) d) 2 3. Determine the value of , so that the vectors a i xj k and b 3i 2j 2k are perpendicular to each other. a) 1 2 b) 2 c) 1 2 d) None of these 4. If x a(cos t tsin t) and y a(sin t t cos t) , then find 3 t 4 dy dx . a) 1 b) 1 c) 0 d) None of these 5. If x 1! 2! 3! ... 99! , then find the remainder when x is divided by 15. a) 1 b) 2 c) 3 d) None of these 6. Find the minimum value of 2 2 cos sec . a) 2 b) 1 c) 0 d) None of these 7. If 2x 2 10 11 2 2 2 , then find x 2 x . a) 1 b) 4 c) 16 d) None of these 8. If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 300%, the resultant fraction becomes 5/18. What is the original fraction? a) 4 9 b) 5 36 c) 5 9 d) None of these 9. The points A(0, 2), B(3,1), C(0,4) and D( 3,1) are the vertices of a a) rectangle b) square c) rhombus d) None of these VMC entrance Exam Sample Papers
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