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Question

The locus of mid points of the chords of the parabola y2=4(x+1) which are parallel to 3x=4y is

A
5y8=0
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B
3x+10=0
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C
5y+9=0
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D
3y8=0
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Solution

The correct option is D 3y8=0
Let the middle points of chord be (h,k)
The equation of chord bisected at a point is T=S1
ky2(x+h)4=k24(h+1)

Slope of chord bisected at the point is 34
2k=34
83k=0
Locus is 83y=0
3y8=0

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