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Answer:

(i) Let P (x, y) be any point on the parabola whose focus is S (3, 0) and the directrix is 3x + 4y = 1.
Draw PM perpendicular to 3x + 4y = 1.
Then, we have:
SP=PMSP2=PM2x-32+y-02=3x+4y-19+162x-32+y2=3x+4y-15225x-32+y2=3x+4y-1225x2-150x+25y2+225=9x2+16y2+1+24xy-8y-6x16x2+9y2-24xy-144x+8y+224=0

(ii) Let P (x, y) be any point on the parabola whose focus is S (1, 1) and the directrix is xy + 1 = 0.
Draw PM …

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