# Math

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Classify the conic section
4x^2+5y^2-16x-30y+41=0 as a circle, ellipse, hyperbola, or parabola?

• Math -

Ellipse
4(x^2 -4x +4) + 5(y^2 -6y +9) = -41 + 16 + 45
= 20
= 4(x-2)^2 + 5(y-3)^2
(x-2)^2/5 + (y-3)^2/4 = 1

• Math -

The sum of 16terms of an A.P IS -504,while the sum of its 9terms is -126. Find the sum of its 30terms

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