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The tangent to the parabola y 2 = 4x at the point where it intersects the circle x 2 + y 2 = 5 in the first quadrant , passes through the point -

1. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 3 4 , 3 1
2. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 7 , 4 3
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 3 , 4 1
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − 2 1 , 4 1

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 7 , 4 3

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