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Simple Problems In Mathematics

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Published in: Mathematics
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Simple Problems in Mathematics

The L / Kolkata

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Teaches: All Subjects, Mathematics, Science, Algebra, Chemistry, Physics, Statistics, M.Sc Tuition

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  1. 1. A. The Learning Hall Mathematics Class Oct 28, 2018 Find the equation of the set of all points equidistant from the point (4,2) and the x-axis Let P (x,y) be any point on S = {P : IPMI = IPA l} in the diagram below. Let A be the point (4,2) p (x,y) Now, or, X' IPMI = IPAI y = v/ (x-4)2 + (y-2)2 Squaring, Or, y 2 = (x 2 -8x +16) + (Y2-4y +4) 2 - 8x - 4y +20 = o Or, x -8x - 4y +20 - -O A (4,2) x is the required locus
  2. 2. A. 3. A. How many different teams of 7 players can be chosen from 10 players ? No. of different teams of 7 players out of 10 players = lox 9 x 8 = 720 6 = 120 7 players can be chosen from 10 players in 120 ways Show that no value of sec e can satisfy the equation We have 6 sec2e — 5 sece + 1 6 sec20 — 5 seco + 1=0 Solving, seco = = 5+1/-11 12 = 1/2 or 1/3 But seco cannot lie between -1 and +1 Hence, sec 0 is not equal to 1/2 or 1/3 Hence, no value of sec e satisfies the given equation

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