Find the shortest distance between two parabolas `y^(2)=x-2` and `x^(2)=y-2`

The equation of the line of the shortest distance between the parabola y^(2)=4x and the circle x^(2)+y^(2)-4x-2y+4=0 is

The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is: (a) 2sqrt(2) (b) 1/(2sqrt(2)) (c) 4 (d) sqrt((36)/5)

Find the area included between the parabolas x=y^(2) and x = 3-2y^(2) .

The shortest distance between the parabola y^2 = 4x and the circle x^2 + y^2 + 6x - 12y + 20 = 0 is : (A) 0 (B) 1 (C) 4sqrt(2) -5 (D) 4sqrt(2) + 5

The shortest distance between curves y^(2) =8x " and "y^(2)=4(x-3) is

Find the area included between the parabolas y^2=4a x\ a n d\ x^2=4b ydot

Equation of normal to parabola y^2 = 4ax at (at^2, 2at) is y-2at = -t(x-at^2) i.e. y=-tx+2at + at^3 Greatest and least distances between two curves occur along their common normals. Least and greatest distances of a point from a curve occur along the normal to the curve passing through that point. Shortest distance between parabola 2y^2-2x+1=0 and 2x^2-2y+1=0 is: (A) 1/2 (B) 1/sqrt(2) (C) 1/(2sqrt(2)) (D) 2sqrt(2)

Find the shortest distance between the line y=x-2 and the parabola y=x^2+3x+2.

Find the shortest distance between the line y=x-2 and the parabola y=x^2+3x+2.

Find the shortest distance between the line y=x-2 and the parabola y=x^2+3x+2.