`(9x^(2)-25y^(2)+60y-36)/((3x+5y-6))`

25x^(2)+36y^(2)+60xy

The equations of the latus recta of the ellipse 9x^(2) + 25y^(2) - 36x + 50y - 164 = 0 are

The foci of the ellipse 9x^(2)+25y^(2)-36x+50y-164=0 are

If 7x - 15y = 4x + y , find the value of x: y . Hence, use componendo and dividendo to find the values of : (i) (9x + 5y)/(9x - 5y) (iI) (3x^(2) + 2y^(2))/(3x^(2) - 2y^(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

Find the product: (3x-5y-4)(9x^(2)+25y^(2)+15xy+12x-20y+16)

Find the value of the expression (36x^(2) + 25y^(2) - 60 xy) , when x = (2)/(3) and y = (1)/(5)

If the foci of the ellipse 9x^(2)+25y^(2)-36x+50y=164 are (x_(1),y_(1)) and (x_(2),y_(2)) then x_(1)+x_(2)+y_(1)-y_(2) =