The midpoint of the chord 2 x - y -2-0 of the parabola y 2-8 x isA- 0-2B- 3-4C- 1-0D- 2-2

The correct option is D (2, 2)Midpoint of lx+ my + n = 0 w.r.t.y^2=4ax is [ 2am^2 nl/l^2 ,2am/1 ].= gt; midpoint = [ 4+4/4,4/2 ] ...

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Byju's Answer

Standard XII

Mathematics

Equation of a Chord When Its Mid Point Is Given

The midpoint ...

Question

The midpoint of the chord 2x – y – 2 = 0 of the parabola $y^{2} = 8 x$ is

1,0

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(2, 2)

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(3, 4)

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(0, –2)

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Solution

The correct option is B (2, 2)
Midpoint of lx+ my + n = 0 w.r.t. $y^{2} = 4 a x$ is $[\frac{2 a m^{2} - n l}{l^{2}}, \frac{2 a m}{1}] . => m i d p o i n t = [\frac{4 + 4}{4}, \frac{4}{2}]$

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The midpoint of the chord 2x – y – 2 = 0 of the parabola y2=8x is

The correct option is B (2, 2)Midpoint of lx+ my + n = 0 w.r.t.y2=4ax is [2am2−nll2,2am1].=> midpoint =[4+44,42]

The midpoint of the chord 2x – y – 2 = 0 of the parabola $y^{2} = 8 x$ is

The correct option is B (2, 2)
Midpoint of lx+ my + n = 0 w.r.t. $y^{2} = 4 a x$ is $[\frac{2 a m^{2} - n l}{l^{2}}, \frac{2 a m}{1}] . => m i d p o i n t = [\frac{4 + 4}{4}, \frac{4}{2}]$