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Find the points of contact of the tangent planes to the conicoid 2x^2-25y^2+2z^2=1 which pass through the line joining the points (-12,1,12) and (13,-1,-13).I can't understand the meaning of this question ,plese somebody help me to understand this. And solve this question.

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enter image description here. I able to find out ,another image below.

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enter image description here. Is this correct ? Please give your decision.

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    If this is correct,then please upvote.2017-02-19