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

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 line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is (a) 3sqrt(5) (b) 5sqrt(3) (c) 2sqrt(5) (d) 5sqrt(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 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)+1 at (1 ,3) is (A) sqrt(5) (B) 3sqrt(5) (C) 1/2 (D) 3(sqrt(5))/(2)

The area bounded by the curves y = - x^(2) + 3 and y = 0 is a) sqrt(3)+1 b) sqrt(3) c) 4sqrt(3) d) 5sqrt(3)