Point m is a moving point on parabola y2 = x, and point n is a point on the curve C of the circle C1: (x + 1) 2 + (y-4) 2 = 1 symmetric with respect to the straight line X-Y + 1 = 0, then the minimum value of | Mn | is () A. 112−1B. 102−1C. 2D. 3−1

Point m is a moving point on parabola y2 = x, and point n is a point on the curve C of the circle C1: (x + 1) 2 + (y-4) 2 = 1 symmetric with respect to the straight line X-Y + 1 = 0, then the minimum value of | Mn | is () A. 112−1B. 102−1C. 2D. 3−1

Circle C1: (x + 1) 2 + (y-4) 2 = 1 the radius of the center coordinate (3,0) of a symmetrical circle with respect to the straight line X-Y + 1 = 0 is 1; let the coordinate of M be (Y2, y), so the distance from the center of the circle to m: (Y2 − 3) 2 + & nbsp; Y2, when y2 = 52, its minimum value is 112, then the minimum value of | Mn | is 112 − 1

What is the parabolic standard equation symmetric to the parabola y ^ 2 = 12x with respect to the straight line X-Y = 0?

x^2=12y
x. Y can be exchanged

If the curve C is symmetric to the parabola y & # 178; = 4x-3 with respect to the straight line y = x, the equation of the curve is obtained
process

First of all, you need to understand the meaning of y = x symmetry: any point (x, y) on the curve C, then the point (y, x) must be on the parabola. Take (y, x) into the parabola equation to get: xsquare = 4y-3. This is the equation of C. of course, you can also simplify it to: y = xsquare / 4 + 3 / 4