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An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.
Q. When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the point
- a)(0, 8)
- b)(0, 10)
- c)(0, –8)
- d)(0, 12)
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
An ellipse has semi-major axes of lengths 2 and semi-minor axis of len...
You may use the fact that the product of perpendicular distances of any tangent on ellipse from its foci is
always equal to square of semi-minor axis.
Since the path of centre is x2 + y2 = 5 when y = 1, x = 2.
The incident ray passes through origin and (2, 1) ⇒ its equation is y = 1/2x
Given parabola is (y – 5)2 = – 4 (x – 10)
whose vertex (10, 5) lies on y = 1/2x.
The tangent at the vertex is the line x = 10.
Figure shows that OP = 2 (OR) = 10
so reflected ray cuts y-axis at (0, 10)
always equal to square of semi-minor axis.
Since the path of centre is x2 + y2 = 5 when y = 1, x = 2.
The incident ray passes through origin and (2, 1) ⇒ its equation is y = 1/2x
Given parabola is (y – 5)2 = – 4 (x – 10)
whose vertex (10, 5) lies on y = 1/2x.
The tangent at the vertex is the line x = 10.
Figure shows that OP = 2 (OR) = 10
so reflected ray cuts y-axis at (0, 10)
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An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct answer is option 'B'. Can you explain this answer?
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An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct 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 An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct 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 An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct answer is option 'B'. Can you explain this answer?.
An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct 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 An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct 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 An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct answer is option 'B'. Can you explain this answer?.
Solutions for An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An ellipse has semi-major axes of lengths 2 and semi-minor axis of length 1. It is slipping between the coordinate axes in the first quadrant while maintaining contact with both x-axis and y-axis.Q.When the ordinate of the centre of ellipse is 1, a light ray passing through origin and centre of ellipse strikes the tangent at the vertex of the parabola y2 + 4x – 10y – 15 = 0. The reflected ray cuts y-axis at the pointa)(0, 8)b)(0, 10)c)(0, –8)d)(0, 12)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
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