The equations of tangents to the ellipse `9x^2+16y^2=144` from the point (2,3) are:

Explanation

`(9x^2)/144 + (16y^2)/144 = 1`

`x^2/16 + y^2/9 = 1`

`(x x_1)/16 + (y y_1)/9 = 1`

`x_1/8 + y_1/3 = 1`

`y_1= (1- x_1/8)*3`

`x^2/16 + (9/4(8-x_1)^2)/9 = 1`

`x_1^2/16 + (8-x_1)^2/64 = 1`

`(4x_1^2 + (8- x_1)^2)/64 = 1`

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