For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
09/08/2016

Problem 1
The sum of minimum and maximum distances of the point (4,-3) to the circle x²+y²+4x-10y-7 = 0 is

Problem 2
If the slope of one of the lines represented by ax²+6xy+y²= 0 is the squar of the other. What are possible values of a?

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Problems from 08/25/16

Problem 1
A parent rewards a child with 50 cents for each correctly solved mathematics problem and fines the child 30 cents for each incorrectly solved problem. If the child nets $22.00 after 100 problems. How many problems were solved correctly?

Problem 2
In a group of 200 high school students, 36 are taking biology, 52 are taking Spanish, and 126 are taking neither biology nor Spanish. If one of these 200 students is to be chosen at random, what is the probability that the student chosen is taking biology but not Spanish?

Congratulations to Ramachandran Balakrishna, Suhas Joglekar, Amit Lele and Malaragyeto, who were the winners of the last set of puzzles.

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