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Most Important Selected Qs for JEE AdvancedMathematicsVector Algebra

Paragraph: A line through the origin has the vector equation r = s , is a scalar parameter. Consider a family of line L with s =( + 3 ) i +( 2 ) j +( - 3 ) k then Question: If the lines in L meet the plane x-z=4 3 at P . If varies and P describes a circle on the plane with centre on M then radius of this circle is

Options

  1. A2
  2. B2
  3. C4
  4. D2 2

Correct answer

D. 2 2

Step-by-step solution

M meets the given plane in P₁,(2 3 , 0,-2 3 ) line L meets the plane in P (2 +2 3 , 2 2 , 2 -2 3 ) Thus ( PP ₁ )^2=8 P describes a circle of radius 2 2

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