[(4)^(2)+3x-3y=4;3y-x=4],[(6)^(2)2x-3y=4]

2x-3y=4,3y-x=4

(6) 2x-3y=4 ; 3y-x=4

4x-2y=3 6x-3y=5

If x^(2)+y^(2)=1 and P=(3x-4x^(3))^(2)+(3y-4y^(3))^(2) then P is equal to

The locus of the image of the point (2,3) in the line (x-2y+3)+lambda(2x-3y+4)=0 is (lambda in R)( a) x^(2)+y^(2)-3x-4y-4=0 (b) 2x^(2)+3y^(2)+2x+4y-7=0(c)x^(2)+y^(2)-2x-4y+4=0(d) none of these

2x+3y=8 4x-5y=-6

2x+3y=5 4x-5y=6

Match the following. {:("Line, parabola"," "," ""Pole"),("I". 2x-3y+4=0,y^(2)=4x," "(a)(4,6)),("II". 2x+3y-4=0,y^(2)=4x," "(b)(2,3)),("III". x-2y+4=0,y^(2)=6x," "(c)(-2,-3)),("IV". 3x+4y-4=0,x^(2)=4y," "(d)(-3//2,-1)):}

The solution of the differential equation (dy)/(dx)+(x(x^(2)+3y^(2)))/(y(y^(2)+3x^(2)))=0 is (a) x^(4)+y^(4)+x^(2)y^(2)=c (b) x^(4)+y^(4)+3x^(2)y^(2)=c (c) x^(4)+y^(4)+6x^(2)y^(2)=c (d) x^(4)+y^(4)+9x^(2)y^(2)=c