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 2sqrt(2) (b) (1)/(2)sqrt(2)(c)4(d)sqrt((36)/(5))

The normal to the curve x^(2)=4y passing (1, 2) is :

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

The equation of the normal to the curve y=x(2-x) at the point (2, 0) is

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

The equation of the normal to the curve y^2=4ax at point (a,2a) is

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