The straight line y = 2x + does not meet the parabola y^2 = 2x, i… - Vidyadip

MCQ

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

A
$\lambda < \frac{1}{4}$
✓
$\lambda > \frac{1}{4}$
C
$\lambda = 4$
D
$\lambda = 1$

✓

Answer

Correct option: B.

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

b
(b) $y = 2x + \lambda $ does not meet,

if $\lambda > \frac{a}{m} = \frac{1}{{2.2}} = \frac{1}{4}$

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

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