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The tangent at any point P(a secθ, b tanθ) of the hyperbola makes an intercept of length p between the point of contact and the transverse axis of the hyperbola. If p1, p2 are the lengths of the perpendiculars drawn from the foci on the normal at P, then
  • a)
    p is an arithmetic mean between p1 and p2
  • b)
    p is a geometric mean between p1 and p2
  • c)
    p is a harmonic mean between p1 and p2
  • d)
    none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The tangent at any point P(a secθ, b tanθ) of the hyperbola makes ...
Let F1(ae, 0) and F2(–ae, 0) be the foci of the hyperbola.
Equations of the tangent and normal at P are
Q(a cosθ, 0) is the point of intersection of the tangent at P and the x-axis.
G(ae2 secθ, 0) is the point where the normal at P meets xx-axis.
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Community Answer
The tangent at any point P(a secθ, b tanθ) of the hyperbola makes ...
Let F1(ae, 0) and F2(–ae, 0) be the foci of the hyperbola.
Equations of the tangent and normal at P are
Q(a cosθ, 0) is the point of intersection of the tangent at P and the x-axis.
G(ae2 secθ, 0) is the point where the normal at P meets xx-axis.
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The tangent at any point P(a secθ, b tanθ) of the hyperbola makes an intercept of length p between the point of contact and the transverse axis of the hyperbola. If p1, p2 are the lengths of the perpendiculars drawn from the foci on the normal at P, thena)p is an arithmetic mean between p1 and p2b)p is a geometric mean between p1 and p2c)p is a harmonic mean between p1 and p2d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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The tangent at any point P(a secθ, b tanθ) of the hyperbola makes an intercept of length p between the point of contact and the transverse axis of the hyperbola. If p1, p2 are the lengths of the perpendiculars drawn from the foci on the normal at P, thena)p is an arithmetic mean between p1 and p2b)p is a geometric mean between p1 and p2c)p is a harmonic mean between p1 and p2d)none of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The tangent at any point P(a secθ, b tanθ) of the hyperbola makes an intercept of length p between the point of contact and the transverse axis of the hyperbola. If p1, p2 are the lengths of the perpendiculars drawn from the foci on the normal at P, thena)p is an arithmetic mean between p1 and p2b)p is a geometric mean between p1 and p2c)p is a harmonic mean between p1 and p2d)none of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The tangent at any point P(a secθ, b tanθ) of the hyperbola makes an intercept of length p between the point of contact and the transverse axis of the hyperbola. If p1, p2 are the lengths of the perpendiculars drawn from the foci on the normal at P, thena)p is an arithmetic mean between p1 and p2b)p is a geometric mean between p1 and p2c)p is a harmonic mean between p1 and p2d)none of theseCorrect answer is option 'C'. Can you explain this answer?.
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