`x^(2)-3x^(2)y-4x+7` if `x=-2,y=2`

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

Add: (i) 3x, 7x (ii) 7y, -9y (iii) 2xy, 5xy, -xy (iv) 3x, 2y (v) 2x^(2), -3x^(2), 7x^(2) (vi) 7xyz, -5xyz, 9xyz, - 8xyz (vii) 6a^(3) , - 4a^(3), 10 a^(3), - 8a^(3) (viii) x^(2) - a^(2), -5x^(2) + 2a^(2), -4x^(2) + 4a^(2)

Identify the type of conic section for each of the equations 1. 2x^(2) -y^(2) = 7 2. 3x^(2) +3 y^(2) -4x + 3y + 10 =0 3. 3x^(2) + 2y^(2) = 14 4. x^(2) + y^(2) + x-y=0 5. 11x^(2) -25y^(2) -44x + 50y - 256 =0 6. y^(2) + 4x + 3y + 4=0

Which of the following options is not the asymptote of the curve 3x^(3)+2x^(2)y-7xy^(2)+2y^(3)-14xy+7y^(2)+4x+5y=0

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

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

Find the equation of radical axis of the circles x^(2)+y^(2)-3x+5y-7=0 and 2x^(2)+2y^(2)-4x+8y-13=0 .

Find the equation of radical axis of the circles x^(2)+y^(2)-3x+5y-7=0 and 2x^(2)+2y^(2)-4x+8y-13=0 .

Find the equation of radical axis of the circles x^(2)+y^(2)-3x+5y-7=0 and 2x^(2)+2y^(2)-4x+8y-13=0 .