Q. If the vertex of the parabola $y = x^{2} - 16x + k$ lies on $x$-axis, then the value of $k$ is
A) 16
B) 8
C) 64
D) $- 64$
Explanation
(c)
Let $k = 64$
$\therefore y = x^{2} - 2 \times 8x + 64$
$\Rightarrow \ y = (x - 8)^{2}$
$\Rightarrow \ \$It has vertex on$\ x -$axis
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.