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Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB is
  • a)
    x2 + y2 + 4x – 6y + 19 = 0
  • b)
    x2 + y2 – 4x – 10y + 19 = 0
  • c)
    x2 + y2 – 2x + 6y – 29 = 0
  • d)
    x2 + y2 – 6x – 4y + 19 = 0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x...
x2 + y2 - 6x - 4y - 11 = 0
PACD is a cyclic quadrialteral C(3, 2) 
(x - 1) (x - 3) + (y -8) (y - 2) = 0
x2 - 4x + 3 + y2 - 10y + 16 = 0
⇒ x2 + y2 - 4x - 10y + 19 = 0 
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Most Upvoted Answer
Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x...
The equation of a circle with center (h, k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

In this case, the equation of the circle is:

x^2 + y^2 = r^2

Since the center of the circle is not given, we cannot determine the exact equation of the circle. However, we can still find the slopes of the tangents drawn from the point P(1, 8) to the circle.

To find the slopes of the tangents, we need to find the derivative of the equation of the circle with respect to x:

2x + 2y * dy/dx = 0

Simplifying, we get:

dy/dx = -x/y

At the point P(1, 8), the slope of the tangent is given by:

dy/dx = -1/8

Therefore, the slope of the tangent at P(1, 8) is -1/8.
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Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. Can you explain this answer?
Question Description
Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. 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 Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. Can you explain this answer?.
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Here you can find the meaning of Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Tangents drawn from the point P(1, 8) to the circle x2 + y2 – 6x – 4y – 11 = 0 touch the circle at the points A and B. The equation of the circumcircle of the triangle PAB isa)x2 + y2 + 4x – 6y + 19 = 0b)x2 + y2 – 4x – 10y + 19 = 0c)x2 + y2 – 2x + 6y – 29 = 0d)x2 + y2 – 6x – 4y + 19 = 0Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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