Minimum distance of a point `(3/2,0)` from the curve `y=sqrtx` is (a) `sqrt5/2` (b) `5/4` (c) `sqrt5` (d) `5/2`

Minimum distance of a point ((3)/(2),0) from the curve y=sqrt(x) is (a) (sqrt(5))/(2) (b) (5)/(4) (c) sqrt(5)(d)(5)/(2)

The distance of the point (3,4,5) from x-axis is (A) 3 (B) 5 (C) sqrt(34) (D) sqrt(41)

The perpendicular distance of the point P(3,3,4) from the x-axis is 3sqrt(2) b.5c.3d.4

Area common to the curves y=x^3 and y=sqrt(x) is (A) 5/12 (B) 5/4 (C) 5/2 (D) none of these

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is (A) sqrt(5) (B) 3sqrt(5) (C) 3/2 (D) (3sqrt(5))/(2)

The length of the tangent of the curve y=x^(2)+2 at (1 3) is (A) sqrt(5) (B) 3sqrt(5) (C) 3/2 (D) (3sqrt(5))/(2)

The locus of a point that is equidistant from the lines x+y - 2sqrt2 = 0 and x + y - sqrt2 = 0 is (a) x+y-5sqrt2=0 (b) x+y-3sqrt2=0 (c) 2x+2y-3 sqrt2=0 (d) 2x+2y-5sqrt5=0

Minimum distance between the curve "y^(2)=4x" and " x^(2)+y^(2)-12x+31=0 " ,is equal to 1) sqrt(21) ,2) sqrt(26)-sqrt(5) , 3) sqrt(5) ,4) sqrt(28)-sqrt(5)

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is (A) sqrt(5) (B) 3sqrt(5) (C) (3)/(2) (D) (3sqrt(5))/(2)