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Cylinder
The below equation is the common equation of a cylinder.
x2 /a2 + y2/b2 = 1
This is known as a cylinder whose cross section is an ellipse. If a = b we comprise a cylinder whose cross section is a circle. We will be dealing with those types of cylinders more than the general form thus the equation of a cylinder along with a circular cross section is,
x2 + y2 = r2
Here is a diagram of typical cylinder along with an ellipse cross section.
In the diagram the cylinder will be centered on the axis corresponding to the variable which does not appear in the equation.
Be cautious to not confuse this with a circle. In two dimensions it is a circle, although in three dimensions (3D) it is a cylinder.
Prove that the intercept of a tangent between two parallel tangents to a circle subtends a right angle at the centre. Since Δ ADF ≅ Δ DFC ∠ADF = ∠CDF ∴ ∠ADC = 2 ∠CDF
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