Solveeit Logo
Login

Question

Question: Equation of diameter of parabola \(y ^ { 2 } = x\) corresponding to the chord \(x - y + 1 = 0\) i...

Equation of diameter of parabola y2=xy ^ { 2 } = x corresponding to the chord x−y+1=0x - y + 1 = 0 is

A

2y=32 y = 3

B

2y=12 y = 1

C

2y=52 y = 5

D

y=1y = 1

Answer

2y=12 y = 1

Explanation

Solution

Equation of diameter of parabola is y=2amy = \frac { 2 a } { m }, Here

a=14,m=1⇒y=2⋅141⇒2y=1a = \frac { 1 } { 4 } , m = 1 \Rightarrow y = \frac { 2 \cdot \frac { 1 } { 4 } } { 1 } \Rightarrow 2 y = 1