Question

Select the correct option from the given alternatives:

The line y = mx + 1 is a tangent to the parabola y² = 4x, if m is _______

Options

• 1

• 2

• 3

• 4

Answer 1

1

Explanation;

y² = 4x

Compare with y² = 4ax

∴ a = 1

Equation of tangent is

y = mx + 1

Compare with y = `"m"x + "a"/"m"`

∴ `"a"/"m"` = 1

∴ a = m = 1