b. Family of parabolas whose vertex is along the line y -2, %3D
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
answer for letter b.THANK YOUUUU
![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%2Fbcaf1a4c-64e6-4420-8b71-aa28d7f9fe8a%2F99a16716-c03b-4dfd-97ad-e66ffb47c2df%2Fgkcam3c_processed.jpeg&w=3840&q=75)
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