Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
Need answer for 2-D
![2. Find the differential equation of the family of curves as
described below.
a. Family of circles whose center is on the line y = 3x
b. Family of parabolas whose vertex is along the line y = -2,
and whose distance from vertex to directrix being 3 units.
c. Family of logarithmic curves whose equation is Cy = 1n (Cx).
d. Family of ellipses with center at (1, -2), major axis is
horizontal, and whose eccentricity is 0.6.
e. Family of lines whose angle of inclination is 60 degrees.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6afa0a2-dfeb-4f3a-8a45-6863ce5e9ce8%2F31505357-10ca-4165-97b3-0b2d943b2b93%2Fekmuald_processed.jpeg&w=3840&q=75)
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