Find the shortest distance between the parabolas `2y^(2)=2x-1and2x^(2)=2y-1`.

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

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 lines (x-1)/2=(y-2)/3=(z-3)/4 and (x-2)/3=(y-3)/4=(z-5)/5 .

Find the distance between the parallel planes x-2y-2z=3 and 2x-4y-4z=7 .

Find the shortest distance of the point (0, c) from the parabola y = x^(2) , where (1)/(2) lt= c lt= 5 .

Find the shortest distance between the lines (x-6)/(3)=(y-7)/(-1)=(z-4)/(1) and vecr=-9hati+2hatk+t(-3hati +2hatj+4hatk) .

Find the shortest distance between the lines (x+1)/7=(y+1)/(-6) =(z+1)/1 and (x-3)/1=(y-5)/-2=(z-7)/1

Find the shortest distance between the z-axis and the line, x+y+2z-3=0,2x+3y+4z-4=0.