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

( 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)

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

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

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):}

Find X and Y, if (i) X+Y=[(7,0),(2,5)] and X-Y=[(3,0),(0,3)] (ii) 2X+3Y=[(2,3),(4,0)] and 3X+2Y=[(2,-2),(-1,5)]

Find X and Y, if (i) X+Y=[(7,0),(2,5)] and X-Y=[(3,0),(0,3)] (ii) 2X+3Y=[(2,3),(4,0)] and 3X+2Y=[(2,-2),(-1,5)]

Find X and Y, if (i) X+Y=[(7,0),(2,5)] and X-Y=[(3,0),(0,3)] (ii) 2X+3Y=[(2,3),(4,0)] and 3X+2Y=[(2,-2),(-1,5)]

Prove that the following lines are concurrent. (i)5x-3y=1 , 2x+3y=23 , 42x+21y=257 (ii) 2x+3y-4=0 , x-5y+7=0 , 6x-17y+24=0