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On a circle with centre (2, 1) and radius 3, a variable point 'A' is taken, such that perpendiculars from 'A' on a diameter of circle are divided by a point B in a fixed ratio 1 : 3. Then (B*) locus of point B is an ellipse concentric with circle with eccentricity √7 /4 (D*) If locus of B is a curves 'S' then the locus of perpendicular drawn from foci of S upon any tangent to it, is the given circle itself?
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On a circle with centre (2, 1) and radius 3, a variable point 'A' is t...
The locus of a point B that is a fixed distance ratio (1:3 in this case) from a variable point A on a circle is an ellipse that is concentric with the circle. The foci of this ellipse are located on the diameter of the circle that is perpendicular to the line segment AB.
If we draw a perpendicular from one of the foci of the ellipse to any tangent line of the ellipse, the locus of this point of intersection will be the given circle itself. This is because the intersection point will be equidistant from the two foci of the ellipse, which is a defining property of points on a circle.

Therefore, the statement "the locus of perpendicular drawn from foci of S upon any tangent to it, is the given circle itself" is true.

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On a circle with centre (2, 1) and radius 3, a variable point 'A' is taken, such that perpendiculars from 'A' on a diameter of circle are divided by a point B in a fixed ratio 1 : 3. Then (B*) locus of point B is an ellipse concentric with circle with eccentricity √7 /4 (D*) If locus of B is a curves 'S' then the locus of perpendicular drawn from foci of S upon any tangent to it, is the given circle itself?
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On a circle with centre (2, 1) and radius 3, a variable point 'A' is taken, such that perpendiculars from 'A' on a diameter of circle are divided by a point B in a fixed ratio 1 : 3. Then (B*) locus of point B is an ellipse concentric with circle with eccentricity √7 /4 (D*) If locus of B is a curves 'S' then the locus of perpendicular drawn from foci of S upon any tangent to it, is the given circle itself? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about On a circle with centre (2, 1) and radius 3, a variable point 'A' is taken, such that perpendiculars from 'A' on a diameter of circle are divided by a point B in a fixed ratio 1 : 3. Then (B*) locus of point B is an ellipse concentric with circle with eccentricity √7 /4 (D*) If locus of B is a curves 'S' then the locus of perpendicular drawn from foci of S upon any tangent to it, is the given circle itself? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a circle with centre (2, 1) and radius 3, a variable point 'A' is taken, such that perpendiculars from 'A' on a diameter of circle are divided by a point B in a fixed ratio 1 : 3. Then (B*) locus of point B is an ellipse concentric with circle with eccentricity √7 /4 (D*) If locus of B is a curves 'S' then the locus of perpendicular drawn from foci of S upon any tangent to it, is the given circle itself?.
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