Test Index

NCERT Class XI Mathematics - Conic Sections - Solutions

© examsnet.com
Question : 20 of 71
Marks: +1, -0
y2y^2 = 10x
Solution:  
The given equation of parabola is
y2y^2 = 10x, which is of the form y2y^2 = 4ax.
∴ 4a = 10 ⇒ a = 104\frac{10}{4} ⇒ a = 52\frac{5}{2}
∴ Coordinates of focus are (52,0)\left(\frac{5}{2},0\right)
Axis of parabola is y = 0
Equation of the directrix is
x = 52-\frac{5}{2} ⇒ 2x + 5 = 0
Length of latus rectum = 4×52\frac{4 \times 5}{2} = 10.
© examsnet.com
Go to Question: