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))`

(2)/(sqrt(x))+(3)/(sqrt(y))=2 and (4)/(sqrt(x))-(9)/(sqrt(y))=-1

Solve: (2)/(sqrt(x))-(3)/(sqrt(y))=2 and (4)/(sqrt(x))-(9)/(sqrt(y))=-1

{:((2)/(sqrt(x))+ (3)/(sqrt(y)) = 2),((4)/(sqrt(x))-(9)/(sqrt(y)) = -1):}

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 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 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)

Distance between parallel lines 4x+6y+8=0, 6x+9y+15=0 is (i) 2/sqrt13 (ii) 1/sqrt13 (iii) 3/sqrt13 (iv) 4/sqrt13

Minimum distance between the curve "y^(2)=4x" and " x^(2)+y^(2)-12x+31=0 " ,is equal to 1) sqrt(21) ,2) sqrt(26)-sqrt(5) , 3) sqrt(5) ,4) sqrt(28)-sqrt(5)

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

sqrt(2)x + sqrt(3)y=0 sqrt(5)x - sqrt(2)y=0