The minimum vertical distance between the graphs of `y=2+sinx` and `y=cosx` is (a)`2` (b)` 1` (c) `sqrt(2)` (d) `2-sqrt(2)`

Find the maximum vertical distance between the graphs y=2+3sinx and y=4cos x-3 .

The distance between the graphs of the equations y=-1 and y=3 is: 2(b)4(c)3 (d) 1

The shortest distance between the line x=y and the curve y^(2)=x-2 is (a) 2 (b) (7)/(8) (c) (7)/(4sqrt(2)) (d) (11)/(4sqrt(2))

The distance between the parallel lnes y=2x+4 and 6x-3y-5 is (A) 1 (B) 17/sqrt(3) (C) 7sqrt(5)/15 (D) 3sqrt(5)/15

Draw the graph of y= sqrt (x^(2)-1)

Draw the graph of y= -sqrt(x^(2)+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)

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))

(a+c sqrt(b))(2+y sqrt(b))

The area formed by triangular shaped region bounded by the curves y=sinx, y=cosx and x=0 is (A) sqrt(2)-1 (B) 1 (C) sqrt(2) (D) 1+sqrt(2)