The shortest distance between line `y-x=1` and curve `x=y^2` is (a) `(3sqrt2)/8` (b) `8/(3sqrt2)` (c) `4/sqrt3` (d) `sqrt3/4`

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

The shortest distance between curves y^(2) =8x " and "y^(2)=4(x-3) is

The shortest distance between the point ((3)/(2),0) and the curve y=sqrt(x),(x gt 0) , is

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

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 length of intercept made by the line sqrt2x-y-4sqrt2=0 on the parabola y^2=4x is equal to (a) 6sqrt3 (b) 4sqrt3 (c) 8sqrt2 (d) 6sqrt2

The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4 is a. sqrt(30) b. 2sqrt(30) c. 5sqrt(30) d. 3sqrt(30)

The shortest distance between the lines (x-3)/3=(y-8)/(-1)=(z-3)/1a n d(x+3)/(-3)=(y+7)/2=(z-6)/4 is a. sqrt(30) b. 2sqrt(30) c. 5sqrt(30) d. 3sqrt(30)

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

The angle between lines y=(2-sqrt(3))x+5 and y=(2+sqrt(3))x+7 is