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Question Number 127047 by mohammad17 last updated on 26/Dec/20

how can graph this   [x^2 +(y−1)^2 >9 ] pleas sir help me with details ?

$${how}\:{can}\:{graph}\:{this}\: \\ $$ $$\left[{x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} >\mathrm{9}\:\right]\:{pleas}\:{sir}\:{help}\:{me}\:{with}\:{details}\:? \\ $$

Answered by benjo_mathlover last updated on 26/Dec/20

if x^2 +(y−1)^2  = 3 , the locus is a circle  with centre point at (0,1) and radius (√3)

$${if}\:{x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} \:=\:\mathrm{3}\:,\:{the}\:{locus}\:{is}\:{a}\:{circle} \\ $$ $${with}\:{centre}\:{point}\:{at}\:\left(\mathrm{0},\mathrm{1}\right)\:{and}\:{radius}\:\sqrt{\mathrm{3}} \\ $$ $$ \\ $$

Commented bymohammad17 last updated on 26/Dec/20

sory sir (x^2 +(y−1)^2 >9)

$${sory}\:{sir}\:\left({x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} >\mathrm{9}\right) \\ $$

Commented bybenjo_mathlover last updated on 26/Dec/20

what the meaning (   ) ?

$${what}\:{the}\:{meaning}\:\left(\:\:\:\right)\:? \\ $$

Commented bymohammad17 last updated on 26/Dec/20

[x^2 +(y−1)^2 >9]

$$\left[{x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} >\mathrm{9}\right] \\ $$

Commented bymohammad17 last updated on 26/Dec/20

Commented bymohammad17 last updated on 26/Dec/20

sir how the graph [x^2 +(y−1)^2 >9]it is became alssoe

$${sir}\:{how}\:{the}\:{graph}\:\left[{x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} >\mathrm{9}\right]{it}\:{is}\:{became}\:{alssoe} \\ $$

Answered by ebi last updated on 26/Dec/20

x^2 +(y−1)^2 >9  (y−1)^2 >9−x^2   y−1>(√(9−x^2 ))  or  y−1<−(√(9−x^2 ))  y>1+(√(9−x^2 ))  or          y<1−(√(9−x^2 ))

$${x}^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} >\mathrm{9} \\ $$ $$\left({y}−\mathrm{1}\right)^{\mathrm{2}} >\mathrm{9}−{x}^{\mathrm{2}} \\ $$ $${y}−\mathrm{1}>\sqrt{\mathrm{9}−{x}^{\mathrm{2}} }\:\:{or}\:\:{y}−\mathrm{1}<−\sqrt{\mathrm{9}−{x}^{\mathrm{2}} } \\ $$ $${y}>\mathrm{1}+\sqrt{\mathrm{9}−{x}^{\mathrm{2}} }\:\:{or}\:\:\:\:\:\:\:\:\:\:{y}<\mathrm{1}−\sqrt{\mathrm{9}−{x}^{\mathrm{2}} } \\ $$

Commented byebi last updated on 26/Dec/20

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