Find the equation of the tangents to the curve , parallel to the line .

Question

Philoid · Accepted Answer

If tangent is parallel to the line x + 3y = 4 then it’s slope is -1/3.

x = 1 and -1

At x = 1, y = 2 and y = -2 (not possible)

At x = -1, y = -2 and y = 2 (not possible)

y – b = m(x – a)

At (1, 2)

3y + x = 7

At (-1, -2)

3y + x = -7