(a) (1/2, 0)
(b) (0,-1/2)
(c) (-1/2,0)
(d) ( 0,1/2)
(a) (1/2, 0)
Explanation:
= `\sqrt{x-(-1)^{2}+(1-0)^{2}}` = `\sqrt{(x-1)^{2}+(0-1)^{2}}`
= `\sqrt{(x-1)^{2}+1^{2} }` = `\sqrt{(x-2)^{2}+1^{2} }`
= `(x+1)^{2}+1^{2}=(x-2)^{2}+1^{2}`
= `(x+1)^{2} =(x-2)^{2} `
= `x^{2}+2.x.1+1^{2}=x^{2}-2.x.2+2^{2}`
= `x^{2}+2x+1^{2}=x^{2}-4x+4`
= 1 + 2x = 4 - 4x
= 4x + 2x = 4 - 1
= 6x = 3
x = `3/6`
x = `1/2`
∴ Required coordination = (x,0) (`1/2` , 0)
= `\sqrt{(x-1)^{2}+1^{2} }` = `\sqrt{(x-2)^{2}+1^{2} }`
= `(x+1)^{2}+1^{2}=(x-2)^{2}+1^{2}`
= `(x+1)^{2} =(x-2)^{2} `
= `x^{2}+2.x.1+1^{2}=x^{2}-2.x.2+2^{2}`
= `x^{2}+2x+1^{2}=x^{2}-4x+4`
= 1 + 2x = 4 - 4x
= 4x + 2x = 4 - 1
= 6x = 3
x = `3/6`
x = `1/2`
∴ Required coordination = (x,0) (`1/2` , 0)
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