[" 23."(5)/(x)-(3)/(y)=1" ,"],[qquad (3)/(2x)+(2)/(3y)=5quad (x!=0,y!=0)" ."x]

( 5)/(x)- ( 3) /( y ) = 1 , ( 3) /( 2 x ) + ( 2) /( 3y ) = 5 ( x ne 0 , y ne 0 )

(3) / (x) - (1) / (y) + 9 = 0 (2) / (x) + (3) / (y) = 5, (! = 0, y! = 0)

2x+3y=0 3x+4y=5

Solution of D.E (dy)/(dx)=(2x+5y)/(2y-5x+3) is,if (y(0)=0) (1) x^(2)-y^(2)+5xy-3y=0 (2) x^(2)+y^(2)+5xy-3y=0 (3) x^(2)-y^(2)+5xy+3y=0 (4) x^(2)-y^(2)-5xy-3y=0

2(2x+y+5)+3(x-3y-1)=0 2x-3y+1=0

Match the following {:("Point, parabola"," ""Polar"),("I".(3,-2)y^(2)=x," "(a)5x-4y+24=0),("II".(2,1)x^(2)=y," "(b)2x-3y-4=0),("III".(-2,3)y^(2)=4x," "(c)4x-y-1=0),("IV".(5,-6)x^(2)=8y," "(c)x+4y+3=0):}

The equation 2x+y=5, x+3y =5, x-2y=0 have :

The equation 2x+y=5, x+3y =5, x-2y=0 have :

2x + 3y = 0 , 3 x + 4y = 5 .

The line 2x+3y=5 , 2x+y=k , 2x-y-1=0