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  4. The length of the shortest path that begins at the point (-1,1), touches the x-axis and then ends at a point on the parabola (x-y)2=2(x+y-4), is.....

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Q. The length of the shortest path that begins at the point $(-1,1)$, touches the $x$-axis and then ends at a point on the parabola $(x-y)^2=2(x+y-4)$, is.....

JEE AdvancedJEE Advanced 2018

Solution:

Required Length is OP+ OV where P(-1,1) , V(2,2) is vertex and 0 is origin