Show that the following set of curves intersect orthogonally: `y=x^3a n d6y=7-x^2` `x^3-3x y^2=-2a n d3x^2y-y=2.` `x^2+4y^2=8a n dx^2-2y^2=4`

Show that the following set of curves intersect orthogonally: y=x^(3) and 6y=7-x^(2)x^(3)-3xy^(2)=-2 and 3x^(2)y-y=2x^(2)+4y^(2)=8 and x^(2)-2y^(2)=4

Show that x^2+4y^2=8 and x^2-2y^2=4 intersect orthogonally

Show that x^2=4y and 4y+x^2=8 intersect orthogonally at (2,\ 1)

Show that x^3-3x y^2=-2 and 3x^2\ y-y^3=2 intersect orthogonally:

Find the angle of intersection of the following curves : y^2=xa n dx^2=y y=x^2a n dx^2+y^2=20 2y^2=x^3a n dy^2=32 x x^2+y^2-4x-1=0a n dx^2+y^2-2y-9=0 (x^2)/(a^2)+(y^2)/(b^2)=1a n dx^2+y^2=a b x^2+4y^2=8a n dx^2-2y^2=2 x^2=27ya n dy^2=8x x^2+y^2=2xa n dy^2=x y=4-x^2a n dy=x^2

Subtract: x^2-3x y+7y^2-2 from 6x y-4x^2-y^2+5

If the curves 2x^(2)+3y^(2)=6 and ax^(2)+4y^(2)=4 intersect orthogonally, then a =

Show that each of the following systems of linear equations is consistent and also find their solutions: 6x+4y=2 9x+6y=3 2x+3y=5 6x+9y=15 5x+3y+7z=4 3x+26 y+2z=9 7x+2y+10 z=5 x-y+z=3 2x+y-z=2 -x-2y+2z=1 x+y+z=6 x+2y+3z=14 x+4y+7z=30 2x+2y-2z=1 4x+4y-z=2 6x+6y+2z=3

Classify the following pairs of lines as coincident,parallel or intersecting: x+2y-3=0 and -3x-6y+9=0x+2y+1=0 and 2x-4y+3=03x-2y+5=0 and 2x+y-9=0

Suppose a x+b y+c=0 , where a ,ba n dc are in A P be normal to a family of circles. The equation of the circle of the family intersecting the circle x^2+y^2-4x-4y-1=0 orthogonally is (a)x^2+y^2-2x+4y-3=0 (b)x^2+y^2-2x+4y+3=0 (c)x^2+y^2+2x+4y+3=0 (d) x^2+y^2+2x-4y+3=0