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)`

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)

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)

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

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)

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)

Shortest distance between two parabolas y^(2)=x-2 and x^(2)=y-2 is :( A) (1)/(4sqrt(2))(B)(5)/(4sqrt(2))(C)(7)/(2sqrt(2))(D)(6)/(7sqrt(2))

The shortest distance between the line yx=1 and the curve x=y^(2) is (A)(3sqrt(2))/(8) (B) (2sqrt(3))/(8) (C) (3sqrt(2))/(5) (D) (sqrt(3))/(4)

The shortest distance between line y-x=1 and curve x=y^2 is (a) (3sqrt2)/8 (b) 8/(3sqrt2) (c) 4/sqrt3 (d) sqrt3/4

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 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