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The focal chord to y2 = 16x is tangent to (x – 6)2 + y2 = 2, then the possible values of the slope of this chord, are (2003S)
  • a)
    {–1, 1}
  • b)
    {–2, 2}
  • c)
    {–2, –1/2}
  • d)
    {2, –1/2}
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The focal chord to y2 = 16x is tangent to (x – 6)2 + y2 = 2, the...
For parabola y2 = 16x, focus ≡ (4, 0).
Let m be the slope of focal chord then eqn is y = m (x – 4) ...(1)
But given that above is a tangent to the circle (x – 6)2 + y2 = 2
With Centre, C (6, 0), r = 2
∴ Length of ⊥ lar from (6, 0) to (1) = r
⇒ 2m2 = m2 + 1 ⇒ m2 = 1  ⇒ m = ±1
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The focal chord to y2 = 16x is tangent to (x – 6)2 + y2 = 2, the...
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The focal chord to y2 = 16x is tangent to (x – 6)2 + y2 = 2, then the possible values of the slope of this chord, are (2003S)a){–1, 1}b){–2, 2}c){–2, –1/2}d){2, –1/2}Correct answer is option 'A'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The focal chord to y2 = 16x is tangent to (x – 6)2 + y2 = 2, then the possible values of the slope of this chord, are (2003S)a){–1, 1}b){–2, 2}c){–2, –1/2}d){2, –1/2}Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The focal chord to y2 = 16x is tangent to (x – 6)2 + y2 = 2, then the possible values of the slope of this chord, are (2003S)a){–1, 1}b){–2, 2}c){–2, –1/2}d){2, –1/2}Correct answer is option 'A'. Can you explain this answer?.
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