[" 22."(9)/(x)-(4)/(y)=8],[(13)/(x)+(7)/(y)=101quad (x!=0,y!=0)]

(4)/(x)+(3)/(y)=1,(8)/(x)-(9)/(y)=7

Solve : (9)/(x) - (4)/(y) = 8 (13)/(x) + (7)/(y) =101

( 9)/(x) - ( 4)/( y) = 8 , ( 13)/(x) + ( 7)/(y) = 101 ( x ne 0, y ne 0 )

Solve by cross-multiplication method. (i) 8x-3y=12,5x=2y +7 (ii) 6x+ 7y -11 =0, 5x+ 2y =13 (iii) (2)/(x)+(3)/(y) =5, (3)/(x) -(1)/(y) +9=0

Solve : (7)/(x) + (8)/(y) = 2 and (2)/(x) + (13)/(y) = 22

( 5)/(x) + 6y = 13, (3)/(x) + 4y = 7 ( x ne 0 )

The locus of a point "P" ,if the join of the points (2,3) and (-1,5) subtends right angle at "P" is x^(2)+y^(2)-x-8y+13=0 x^(2)-y^(2)-x+8y+3=0 x^(2)+y^(2)-4x-4y=0,(x,y)!=(0,4)&(4,0) x^(2)+y^(2)-x-8y+13=0,(x,y)!=(2,3)&(-1,5)

if (8x + l3y)/(8x - 13y) = (9)/(7) , find x : y .

The circles whose equations are x^(2)+y^(2)+10x-2y+22=0 and x^(2)+y^(2)+2x-8y+8=0 touch each other. The circle which touch both circles at, the point of contact and passing through (0,0) is, 1) 9(x^(2)+y^(2))-15x-20y=0, 2) 5(x^(2)+y^(2))-18x-80y=0 3) 7(x^(2)+y^(2))-18x-80y=0, 4) x^(2)+y^(2)-9x-40y=0 ]]

Classify the following pairs of lines as coincident, parallel, perpendicular or intersecting : (i) 6x+14y-16=0 , 12x+28y-32=0 (ii) 3x-4y=8 , 3x+4y=11 (iii) 5x-2y=7 , 2y-5x=-7 (iv) 4x+7y=19 , 7x-4y=-2 (v) x-2y=7 , 4y-2x=13