✔ ⋂ ⋃ 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...
Maths Videos-cbse mathematics
INTERESTING VIDEOS ON MATHEMATICS
Interesting Videos on Number System, Quadratic Equations, Solid Geometry, Divisibility Test, Quadrilateral, Limits and continuity and circle
Number System:-
Here we get complete explanation of all types of numbers used in mathematics, their definition with examples. Like:- Natural Number, Whole Number, Integers, Rational Number, Irrational Number and Real number etc.
Maths Videos-cbse mathematics
Quadratic Equations:-
This video is based on the quadratic equation and their nature of their roots. Its contains the Definition, General Quadratic Equation, Nature of roots, Relationship between the roots and coefficients, discriminant, quadratic formula and most important is method of completing the square.
Maths Videos-cbse mathematics
Solid Geometry:-
It contains the curved surface area, total surface area and volume of all types of solid figures like cube, cuboid, cylinder, cone, sphere, hemi-sphere, frustum of cone etc. in an interesting way.
Maths Videos-cbse mathematics
Divisibility Test:-
This video explains the divisibility tests by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11.
Maths Videos-cbse mathematics
Here we get the complete information about the family of quadrilaterals, their types and their properties. Eg:- Trapezium, Parallelogram, Rectangle, Rhombus and square.
Maths Videos-cbse mathematics
Circle:-
Here we find the definitions of all terms related to the circle like definition of circle, radius, diameter, chord, sector, segment, Properties of circle, cyclic quadrilateral and their properties
Continuity:-
Basic concepts and formulas on limit and continuity.
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