The minimum vertical distance between the graphs of `y=2+s in xa n dy=cosx` is 2 (b) 1 (c) `sqrt(2)` (d) `2-sqrt(2)`

The minimum vertical distance between the graphs of y=2+sin x and y=cos x is (a)2 (b) 1 (c) sqrt(2)(d)2-sqrt(2)

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

In an ellipse the distance between the foci is 8 and the distance between the directrices is 25. The length of major axis is : (A) 5sqrt(2) (B) 10sqrt(2) (C) 20sqrt(2) (D) none of these

(sqrt8)^(1/3) = ? (a) 2 (b) 4 (c) sqrt2 (d) 2sqrt2

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 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)

If A(1,-1,2),B(2,1,-1)C(3,-1,2) are the vertices of a triangle then the area of triangle ABC is (A) sqrt(12) (B) sqrt(3) (C) sqrt(5) (D) sqrt(13)

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 distance between the points (m,-n) and (-m,n) is (A) sqrt(m^2 + n^2) (B) m+n (C) 2 sqrt(m^2+n^2) (D) sqrt(2m^2 +2n^2)