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Find the equation of the normal at P of ...

Find the equation of the normal at P of the
circle `S = 0` where P and S are given by
`P = (3, 5) , S -= x^(2) + y^(2) - 10 x - 2y + 6`

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Find the equation of the normal at P of the circle S=0 where P and S are given by (i) P(3,-4),S=x^(2)+y^(2)+x+y-24 (ii) P(1,3),S=3(x^(2)+y^(2))-19x-29y+76 (iii) P(3,5),S=x^(2)+y^(2)-10x-2y+6 (iv) P(1,2),S=x^(2)+y^(2)-22x-4y+25

Find the equation of the normal at P of the circle S=0 where P and S are given by (i) P(3,-4),S=x^(2)+y^(2)+x+y-24 (ii) P(1,3),S=3(x^(2)+y^(2))-19x-29y+76 (iii) P(3,5),S=x^(2)+y^(2)-10x-2y+6 (iv) P(1,2),S=x^(2)+y^(2)-22x-4y+25