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Let E 1 E 2 and F 1 F 2 be the chords of S passing through the point P 0 (1, 1) and parallel to the x-axis and the y-axis, respectively. Let G 1 G 2 be the chord of S passing through P 0 and having slope –1. Let the tangents to S at E 1 and E 2 meet at E 3 , the tangents to S at F 1 and F 2 meet at F 3 , and the tangents to S at G 1 and G 2 meet at G 3 . Then, the points E 3 , F 3 , and G 3 lie on the curve

1. x + y = 4
2. (x – 4) 2 + (y – 4) 2 = 16
3. (x – 4)(y – 4) = 4
4. xy = 4 CAREER POINT CAREER POINT , CP Tower, IPIA, Road No.1, Kota (Raj.), : 0744-6630500 | www.ecareerpoint.com Email: info@cpil.in Page # 40 Paper-1

Correct answer: x + y = 4

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