Shift the origin to a suitable point so that the equation y2+4y+8x−2=0 will not contain y and constant terms is

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3/4,-2

3/4,2

2,3/4

2,-3/4

answer is A.

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Detailed Solution

y2+8x+4y−2=0; New origin = (h,k)(Y+k)2+8(X+h)+4(Y+k)−2=0Coeff of Y = 0 ⇒ 2k+4=0 ⇒k=-2coefficient term = 0⇒k2+8h+4k−2=0⇒h=34∴ New origin =34,−2

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