TS EAMCET · Maths · Parabola
If the lines \(2 x+3 y+12=0, x-y+k=0\) are conjugate with respect to the parabola \(y^2=8 x\), then \(k\) is equal to
- A 10
- B \(\frac{7}{2}\)
- C -12
- D -2
Answer & Solution
Correct Answer
(C) -12
Step-by-step Solution
Detailed explanation
Given, conjugate lines are \(2 x+3 y+12=0\) ...(i) and \(\quad x-y+k=0\) ...(ii) We know, that two lines are said to be conjugate with respect to a curve, if each passes through the pole of the polar of that curve. Let \(\left(x_1, y_1\right)\) be the pole of parabola…
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