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The equations of the sides A B and AC of a triangle ABC are (  + 1) x +  y = 4 and  x + (1 –  ) y +  = 0 respectively. Its vertex A is on the y - axis and its orthocentre is (1, 2). The length of the tangent from the point C to the part of the parabola y 2 = 6 x in the first quadrant is :

1. 2 2
2. 6
3. 2
4. 4

Correct answer: 2 2

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