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$T h e e q u a t i o n o f a c u r v e r e f e r r e d t o t h e n e w a x e s w h e n t h e o r i g i n s h i f t e d t o (4, 5) w i t h o u t c h a n g i n g t h e d i r e c t i o n o f a x e s i s X^{2} + Y^{2} = 36 t h e n t h e e q u a t i o n o f t h e c u r v e w i t h r e f e r e n c e t o t h e o r i g i n a l a x e s$

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

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

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

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

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Correct option is B

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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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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