A line passing through the point of intersection of x + y = 4 and x – y = 2 makes an angle \tan^{–1}(3/4) with the x-axis. It intersects the parabola y^2 = 4(x–3) at points (x_1, y_1) and (x_2, y_2) respectively. Then |x_1–x_2| is equal to

WBJEE 2013 Math Solved Paper

Question : 61 of 80

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A line passing through the point of intersection of x + y = 4 and x – y = 2 makes an angle tan–1(

) with the x-axis. It intersects the parabola y2 = 4(x–3) at points (x1, y1) and (x2, y2) respectively. Then |x1–x2| is equal to

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