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 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 shortest distance between line y-x=1 and curve is : (1)(sqrt(3))/(4) (2) (3sqrt(2))/(8) (3) (8)/(3sqrt(2))(4)(4)/(sqrt(3))

The value of cos48cos12 (A) (sqrt(5)+3)/(8) (B) (3-sqrt(5))/(2) (C) (sqrt(5)+1)/(4) (D) (sqrt(5)-1)/(4)

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

The point,at shortest distance from the line x+y=10 and lying on the ellipse x^(2)+2y^(2)=6, has coordinates (A) (sqrt(2),sqrt(2)) (B) (0,sqrt(3))(C)(2,1)(D)(sqrt(5),(1)/(sqrt(2)))

consider a function f(x) Minimum distance between the functions f(x) and g(x) is (4)/(3sqrt(2)) (b) (7)/(6sqrt(2))( c) (7)/(3sqrt(2)) (d) (8)/(3sqrt(2))

(3)/(sqrt(8)-sqrt(2)+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)

Distance between the lines 5x+3y-7=0\ a n d\ 15 x+9y+14=0 is (35)/(sqrt(34)) b. 1/(3sqrt(34)) c. (35)/(3sqrt(34)) d. 35//2sqrt(34)

The equaiton of the line which bisects the obtuse angle between the lines x-2y+4=0 and 4x-3y+2=0 (A) (4-sqrt(5))x-(3-2(sqrt(5)) y+ (2-4sqrt(5))=0 (B) (3-2sqrt(5)) x- (4-sqrt(5))y+ (2+4(sqrt(5))=0 (C) (4+sqrt(5)x-(3+2(sqrt(5))y+ (2+4(sqrt(5))=0 (D) none of these