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Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?
  • a)
    The point (-2, 7) lies in E1
  • b)
    The point  does NOT lie in E2
  • c)
    The point  lies in E2
  • d)
    The point  does NOT lie in E1
Correct answer is option 'B,D'. Can you explain this answer?
Verified Answer
Let T be the line passing through the points P(-2, 7) and Q(2, -5). Le...
Locus of M is circle center (0, 1) and radius   , excluding points P and Q
=> x2 + y2 – 2y = 39 excluding points P and Q
(–2, 7) is excluded from locus and  does not lie in E1
Locus of point in E2 is circle with diameter (0, 1) and (1, 1), excluding midpoints of chords passing through P or Q
=> x 2 – x + (y – 1)2 = 0
 does not lie in E2 and doesn’t lie in E2 since latter is midpoint of chord through P
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Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. Can you explain this answer?
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Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. 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 Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. Can you explain this answer?.
Solutions for Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. 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 Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. Can you explain this answer?, a detailed solution for Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. Can you explain this answer? has been provided alongside types of Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Let T be the line passing through the points P(-2, 7) and Q(2, -5). Let F1 be the set of all pairs of circles (S1, S2) such that T is tangent to S1 at P and tangent to S2 at Q, and also such that S1 and S2 touch each other at a point, say, M. Let E1 be the set representing the locus of M as the pair (S1, S2) varies in F1. Let the set of all straight line segments joining a pair of distinct points of E1 and passing through the point R(1, 1) be F2. Let E2 be the set of the mid-points of the line segments in the set F2. Then, which of the following statement(s) is (are) TRUE ?a)The point (-2, 7) lies in E1b)The pointdoes NOT lie in E2c)The pointlies in E2d)The pointdoes NOT lie in E1Correct answer is option 'B,D'. Can you explain this answer? tests, examples and also practice JEE tests.
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