Question

The straight line $y = 2 x + \lambda$does not meet the parabola $y ^ { 2 } = 2 x$if

• A. $\lambda < \frac { 1 } { 4 }$
• B. $\lambda > \frac { 1 } { 4 }$
• C. $\lambda = 4$
• D. $\lambda = 1$

Answer 1

Answer: (B)

$\lambda > \frac { 1 } { 4 }$

Answer 2

$y = 2 x + \lambda$does not meet the parabola $y ^ { 2 } = 2 x$, If $\lambda > \frac { a } { m } = \frac { 1 } { 2.2 } = \frac { 1 } { 4 }$ ⇒ $\lambda > \frac { 1 } { 4 }$