✔ ⋂ ⋃ 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...
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Resource Centre Mathematics
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CBSE Syllabus For Session 2025-26
For : Classes IX & X | Classes XI & XII
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Mathematics Worksheet and Assignments Class IX Mathematics MCQ worksheet Class IX Mathematics Case Study Based Questions Class IX Mathematics Sample Paper Class IX Mathematics Lab Manual For Class IX Mathematics Lesson Plan For maths Teachers Class IX Tangram Activity in Mathematics |
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Mathematics Formulas and Basic Points for class X Mathematics Mind Map Class X Mathematics Worksheet and Assignments Class X Mathematics M.C.Q worksheet Class X Mathematics Case Study Based Questions Class X Mathematics Sample Paper Class X Mathematics Lab Manual For Class X Mathematics Lesson Plan For maths Teachers Class X
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Mathematics Assignments Class XI Mathematics M.C.Q worksheet Class XI Mathematics Case Study Based Questions Class XI Mathematics Lab Manual For Class XI Mathematics Lesson Plan For maths Teachers Class XI
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Mathematics Formulas and Basic Points for class XII Mathematics Assignments Class XII Mathematics M.C.Q worksheet Class XII Mathematics Case Study Based Questions Class XII Mathematics Sample Paper Class XII Mathematics Lab Manual For Class XII |
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Excellent Material Sir
ReplyDeleteMVR Reddy Maths Assistant, FROM DAV