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PARAGRAPH “X”
Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.
Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curve
  • a)
    x + y = 4
  • b)
    (x- 4)2 + (y - 4)2 = 16
  • c)
    (x- 4) + (y - 4) = 4
  • d)
    xy = 4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
PARAGRAPH “X”Let S be the circle in the xy-plane defined b...
The figure below shows the chords E1E2 and F1F2 of the circle.

The equation of circle is,
x2 +y2= 4    .. (A)
The equation of chord E1E2 is,
y = 1 …… (B)
The equation of chord F1F2 is,
x = 1 …… (C)
The coordinates of E1 and E2 are calculated by solving equation (A) and (B).

The coordinates of F1 and F2 are calculated by solving equation (A) and (C).

The equation of tangent at E1 is as follows,
     (D)
The equation of tangent at E2 is as follows,

The coordinates of point E3 are calculated by solving equation (D) and (E).
E3 = ( 0, 4 )
The equation of tangent at F1 is as follows,

The equation of tangent at F2 is as follows,

The coordinates of point F3 are calculated by solving equation (F) and (G).
F3 = ( 4, 0 )
Similarly, the coordinates of point G3 are (2,2).
The point (0,4), (4,0) and (2,2) lies on the equation of line, x +y= 4
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PARAGRAPH “X”Let S be the circle in the xy-plane defined b...
A paragraph is a group of related sentences that discuss a specific topic or idea. It is a fundamental unit of writing and is used to organize thoughts and present information in a clear and coherent manner. A well-written paragraph typically consists of a topic sentence, supporting sentences, and a concluding sentence. The topic sentence introduces the main idea of the paragraph, while the supporting sentences provide evidence, examples, or explanations to support the main idea. The concluding sentence summarizes the main points and brings closure to the paragraph. A paragraph can vary in length, depending on the complexity of the topic and the amount of information being presented.
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PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer?
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PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. 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 PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer?.
Solutions for PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer?, a detailed solution for PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice PARAGRAPH “X”Let S be the circle in the xy-plane defined by the equation x2 + y2 = 4.Let E1E2 and F1F2 be the chords of S passing through the point P0(1, 1) and parallel to the x-axis and the y-axis, respectively. Let G1G2 be the chord of S passing through P0 and having slope -1. Let the tangents to S at E1 and E2 meet at E3, the tangents to S at F1 and F2 meet at F3, and the tangents to S at G1 and G2 meet at G3. Then, the points E3, F3, and G3 lie on the curvea)x + y = 4b)(x- 4)2 + (y - 4)2= 16c)(x- 4)+ (y - 4) = 4d)xy = 4Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
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