Distance between the lines represented by `9x^2-6x y+y^2+18 x-6y+8=0` , is 1. `1/(sqrt(10))` 2.`2/(sqrt(10))` 3.`4/(sqrt(10))` 4. `sqrt(10)` 5. `2/(sqrt(5))`

Distance between the lines represented by 9x^2-6x y+y^2+18 x-6y+8=0 , is 1/(sqrt(10)) 2. 2/(sqrt(10)) 3. 4/(sqrt(10)) 4. sqrt(10) 5. 2/(sqrt(5))

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 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

Find the angle between the lines y-sqrt(3)x-5=0 and sqrt(3)y-x+6=0 .

The distance between the directrices of the hyperbola x=8s e ctheta,\ y=8\ t a ntheta, a. 8sqrt(2) b. 16sqrt(2) c. 4sqrt(2) d. 6sqrt(2)

The eccentricity of the ellipse 4x^2+9y^2+8x+36 y+4=0 is a. 5/6 b. 3/5 c. (sqrt(2))/3 d. (sqrt(5))/3

The direction ratios of the line 2y+z-5=0=x-3y-6 are proportional to 3,\ 1,\ -2 b. 2,\ -4,\ 1 c. 3/(sqrt(14)),1/(sqrt(14)),(-2)/(sqrt(14)) d. 2/(sqrt(41)),(-4)/(sqrt(41)),1/(sqrt(41))

The eccentricity of the ellipse 4x^2+9y^2=36 is a. 1/(2sqrt(3)) b. 1/(sqrt(3)) c. (sqrt(5))/3 d. (sqrt(5))/6