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Tangent and normal are drawn at P (16, 16) on the parabola y2 = 16x, which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and ∠CPB = 
θ
, then value of tan 
θ
 is
  • a)
    1/2
  • b)
    2
  • c)
    3
  • d)
    4/3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Tangent and normal are drawn at P (16, 16) on the parabola y2= 16x, wh...
y2 = 16x
Tangent at P (16, 16) is 2y = x + 16 ...(1)
Normal at P (16, 16) is y = -2x + 48 ...(2)
i.e. A is (-16, 0); B is (24, 0)
Now, centre of circle is (4, 0).
Now, mPC = 4/3
mPB = -2
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Tangent and normal are drawn at P (16, 16) on the parabola y2= 16x, which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and∠CPB =θ, then value of tanθisa)1/2b)2c)3d)4/3Correct answer is option 'B'. Can you explain this answer?
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