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. The number of normal(s) from point (7/6, 4) to parabola y^2 = 2x -1 is (A) 1 (B) 2 (C) 3 (D) 0

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. Now answer the following questons: The point on the parabola y^2 = 4x which is nearest to the point (2, 1) is: (A) (1,2) (B) (1,2sqrt(2) (C) (1, -2) (D) none of these

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

Equation of the normal to the curve y=-sqrt(x)+2 at the point (1,1)

Find the equation of the normal to the curve 2y=x^2 , which passes through the point (2,1).

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

Find the equation of the normal to the curve x^2=4y which passes through the point (1, 2).