Q16 of 292 Page 564

Find the equation of the tangent to the curve , where is parallel to the line .

We know that if two straight lines are parallel then their slope

are equal. So, slope of required tangent is also equal to 4.

x = -6 and y = -11

y – b = m(x – a)

y – (-11) = 4(x – (-6))

4x – y + 13 = 0

Find the equation of the normal to the curve

Show that the tangents to the curve at the point x = 2 and x = −2 are parallel.

At what point on the curve , is the tangent parallel to the y-axis?

Find the point on the curve where the tangent is parallel to the x-axis.