The least distance between a point on `x^(2)+2y^(2)=6` and `x+y-7=0` is `(k)/(sqrt(2))` then `k`

The least distance between two points P and Q on the circle x^(2) + y^(2) -8x + 10y + 37 =0 and x^(2) + y^(2) + 16x + 55 = 0 is _______ .

If the distance between two parallel lines given by 2x^(2)+4xy+2y^(2)+2kx-3y+12=0 is (5)/(sqrt(2)) , then find the value of k

If the distance between the lines 2x+y+k=0,6x+3y+2=0 is (7)/(3sqrt(5)) then the value of k is

Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0 .

The shortest distance between the point (0, 1/2) and the curve x = sqrt(y) , (y gt 0 ) , is:

The distance between the lines given by (x-2y)^(2)+k(x-2y)=0 is 3, then k=

The distance between the lines (x+7y)^(2)+4sqrt(2)(x+7y)-42=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. 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)

If the distance between the lines represented 9x^(2)-24xy+16y^(2)+k(6x-8y)=0 is 4 then k may be

Find the distance between 3x + 2y + 7 = 0 and 6x + 4y + 3 = 0.