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Most Important Selected Qs for JEE AdvancedMathematicsParabola

Paragraph: Let S: 4 x^2-4 x-24 y+49=0 is a parabola and S₁=0 represent locus of middle point of chords of parabola S=0 , which passes through origin. L₁ & L₂ are the tangents for S=0 and normals for x^2+y^2=72 On the basis of above informations, answer the following questions: Question: Identify the incorrect statement about S=0-

Options

  1. Avertex is ( 1 2 , 2 )
  2. Blatus rectum is 6
  3. Cdirectrix is y=1 / 2
  4. Dfocus is ( 1 2 , 9 2 )

Correct answer

D. focus is ( 1 2 , 9 2 )

Step-by-step solution

aligned & 4 x^2-4 x+1=24 y-48 & (2 x-1)^2=24(y-2) & (x- 1 2 )^2=6(y-2) aligned Directrix y-2=- 3 2 y= 1 2 Focus ( 1 2 , 2+ 3 2 ) LR =6

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