Given equation :
5y2 = -16x
• y2 = \(-\frac{16}{5}x\)
Comparing the given equation with parabola having an equation,
y2 = - 4ax
• 4 = \(\frac{16}{5}\)
• = \(\frac{4}{5}\)
Focus : F(-a,0)
= F\(\Big(-\frac{4}{5},0\Big)\)
Vertex :
A(0,0) = A(0,0)
Equation of the directrix :
x – a = 0
• x - \(\frac{4}{5}\) = 0
• x - \(\frac{4}{5}\)
Lenth of latusrectum : 4a = \(\frac{16}{5}\)