exam Maths Puzzle Numerical Ability

How do you identify whether x^2+3y^2-2x+36y+100=0 is a circle, hyperbola, parabola, or an ellipse.

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What is the period and graph of y=2 cot(x+ pie over 2)?

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Sarah McGuire Thirty-two is 7 less than 3 times a number. Find the number.