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TS EAMCET · Maths · Parabola

If the focal chord drawn through the point \((1,2)\) to the parabola \(y^2=8 x\) meets this parabola in \(\left(x_1, y_1\right)\) and \(\left(x_2, y_2\right)\) then \(x_1+x_2=\)

  1. A 4
  2. B 5
  3. C 6
  4. D 8
Verified Solution

Answer & Solution

Correct Answer

(C) 6

Step-by-step Solution

Detailed explanation

Given parabola is \({y}^2=8 {x}\) with parametric coordinates \(\left({at}_1^2, 2 {at}{ }_1\right)\) and \(\left({at}_2^2, 2 {at}_2\right)\). \(\operatorname{Let}\left({x}_1, {y}_1\right) \rightarrow\left(a {t}_1^2, 2 a t_1\right)\) and…