The line y = 2 x + C is a tangent to the parabola y 2 − 4 y − 8 x = 4 at a point whose abscissa is α , then the ordered pair α , C is

Question

The line y = 2 x + C is a tangent to the parabola y 2 − 4 y − 8 x = 4 at a point whose abscissa is α , then the ordered pair α , C is, − 1 2 , 4, − 1 2 , 5, 4 , 5, − 1 2 , 1 2

MARKS App · Accepted Answer

Equation of parabola is y − 2 2 = 8 x + 1 So, equation of tangent with slope 2 is y − 2 = 2 x + 1 + 2 2 ⇒ y = 2 x + 5 ⇒ C = 5 Point of contact is − 1 2 , 4 ⇒ α = − 1 2

Search any question & find its solution

Looking for more such questions to practice?