✔ ⋂ ⋃ ф ܓ ⋎ ∈ ≤ ≥ ∉ ⇒ → ∞ ⊙ ⊄ ⊂ ∴ ∵ ≠ ± ∀ ✕❌ △ ≌ ∠ ॥ π ₹ θ √ ⊥ 𝛂 β ܓ ⋎ λ ∃ ⇔🇽 RESOURCE CENTRE Lab Activities Mathematics 10+1 Activity-3 , Solution: The equation of the given circle is x^2 + y^2 + 8x - 16y + 64 = 0 ⇒ x 2 + 8 x + 16 + ( y 2 − 16 y + 64 ) = 16 \Rightarrow x^2 + 8x + 16 + (y^2 - 16y + 64) = 16 ⇒ ( x + 4 ) 2 + ( y − 8 ) 2 = 4 2 \Rightarrow (x + 4)^2 + (y - 8)^2 = 4^2 ⇒ { x − ( − 4 ) } 2 + ( y − 8 ) 2 = 4 2 \Rightarrow \{ x - (-4) \}^2 + (y - 8)^2 = 4^2 Clearly, the center of the circle is ( − 4 , 8 ) (-4, 8) ( − 4 , 8 ) and its radius is 4. The image of the center after reflection in the line x = 0 x = 0 x = 0 is ( 4 , 8 ) (4, 8) ( 4 , 8 ) . So, the equation of the reflected circle is ( x − 4 ) 2 + ( y − 8 ) 2 = 4 2 (x - 4)^2 + (y - 8)^2 = 4^2 Expanding the equation: x 2 − 8 x + y 2 − 16 y + 64 = 0 x^2 - 8x + y^2 - 16y + 64 = 0 Thus, the equation of the reflected circle is x 2 − 8 x + y 2 − 16 y + 64 = 0...
Class XII Maths Formulas | Basics | Assignments
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Chapter-wise Basics and Formulas |
CBSE syllabus, sample papers, unit tests and
solutions of sample papers, CBSE syllabus for class XII for all subjects,
chapter-wise basic concepts of mathematics for class XII, chapter-wise planning
in mathematics for class XII.
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Mathematics MCQ Class XII |
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Maths Practical for Classes XII |
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Maths Project Work For Class XII | Click Here |
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TEACHERS NOTESSUBJECT: MATHEMATICS CLASS XII
CLASS 12 (Non- Medical and Applied Mathematics) | ||||
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RESOURCE CENTRE MATHEMATICS
Definite Integral Assignment Chapter 7 Integration Multiple Choice Questions Ch-7 Lesson Plan Ch-7 |
Conic Section - 1 (Circle and Parabola) Conic Section - 2 (Ellipse and Hyperbola) Multiple Choice Questions Ch-8 Lesson Plan Ch-8 |
Assignment Ch-09 Class 12 Multiple Choice Questions Ch-9 Lesson Plan Ch-9 |
CHAPTER 10: Vector Algebra |
Assignment Multiple Choice Questions Ch-11 Lesson Plan Ch-11 Lab Activity No. 13 |
Multiple Choice Questions Ch-12 Lesson Plan Ch-12 |
Lesson Plan Ch-13 Lab Activity No. 14 |
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NCERT Mathematics Book[12] with solutions | ||||
NCERT Book | NCERT Sol. | NCERT Book | NCERT Sol. | |
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