question_answer 42)

Find the equation of all lines having slope ?1 that are tangents to the curve

Answer:

Given curve is               ?. (1)         Let P(h, k) be a point on (1)            ?. (2)       (1)          m = slope of tangents to (1)             = ? 1                 (given)                               h = 2, 0         (2)         Points on (1) are (2, 1) and (0, ?1). Now equation of tangent to (1).       At (2, 1) is y ? K = m (x ? h)        y ? 1 = ? 1 (x ? 2)        y ? 1 = ? x + 2        x + y = 3       A (0, ?1) y + 1 = ?1 (x ? 0)        x + y + 1 = 0       x + y = 3, x + y + 1 = 0.