Conic Sections Question 165
Question: Equation of diameter of parabola $ y^{2}=x $ corresponding to the chord $ x-y+1=0 $ is
[RPET 2003]
Options:
A) $ 2y=3 $
B) $ 2y=1 $
C) $ 2y=5 $
D) $ y=1 $
Show Answer
Answer:
Correct Answer: B
Solution:
Equation of diameter of parabola is $ y=\frac{2a}{m} $
Here $ a=\frac{1}{4},m=1 $
therefore $ y=\frac{2\times 1/4}{1} $
$ \Rightarrow 2y=1 $ .