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Q.

The equation of a curve referred to the new axes when the origin shifted to (4,5) without changing the direction of axes is X2+Y2=36 then the equation of the curve with reference to the original axes

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a

x2+y2-8x-10y-5=0

b

x2+y2-8x-10y+5=0

c

x2+y2-8x+10y+5=0

d

x2+y2+8x-10y+5=0

answer is B.

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Detailed Solution

Given transformed equation of the curve as X2+Y2=36 Substitute X=x-4, Y=y-5 x-42+y-52=36 x2+y2-8x-10y+16+25=36 x2+y2-8x-10y+41=36 x2+y2-8x-10y+5=0

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