exam Maths Puzzle Numerical Ability

Which conic section is this equation 4^2-4xy+Y^2+4X-2Y+1=0?

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exam Other Question

Can someone please help me understand this problem?
Given the constraints x + y(<=)90, 3x - y(>=)0, x(>=)0, y(>=)0, the minimum value for the function f(x) = 10x + 11y is
a. -90
b. 0
c. -3
d. 990
Thank you solve for n

1000n+1000=1(2)^n

If you can solve it for me i'll be very happy. i haven't got to far on it.