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 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)

Shortest distance between two parabolas y^(2)=x-2 and x^(2)=y-2 is :( A) (1)/(4sqrt(2))(B)(5)/(4sqrt(2))(C)(7)/(2sqrt(2))(D)(6)/(7sqrt(2))

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 distance between the directrices of the hyperbola x^(2)-y^(2)=9 is a) 9/(sqrt(2)) b) 5/(sqrt(3)) c) 3/(sqrt(2)) d) 3sqrt(2)

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 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 the lines y = (2-sqrt(3))X + 5 and y = (2+sqrt(3))X - 7 is

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)

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)

If the distance between the lines 2x+y+k=0,6x+3y+2=0 is (7)/(3sqrt(5)) then the value of k is