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I've termed this section as Intervals of Validity since all of the illustrations will involve them. Though, there is many more to this section. We will notice a couple of theorems
If (a,1/a), (b,1/b),(c,1/c),(d,1/d) are four distinct points on a circle of radius 4 units then,abcd is equal to?? Ans) As they are of form (x,1/x) let eq of circle be x
If tanx+secx=sqr rt 3, 0 Ans) sec 2 x=(√3-tanx) 2 1+tan 2 x=3+tan 2 x-2√3tanx 2√3tanx=2 tanx=1/√3 x=30degree
A speaks truth in 80% of the cases and B speaks truth in 60% of the cases. Find out the probability of the cases of which they are possible to contradict each other in stating sim
A closed conical vessel of radius 36 cm and height 60 cm, has some water. When vertex is down then the height of water is 12 cm. What is the height of water when vertex is up?
? (2x+3)dx
Pay $40 for plan offered for $30 for plan what percentage of savings
(a) Determine the matrix that first rotates a two-dimensional vector 180° anticlockwise, and then per- forms a horizontal compression of the resulting vector by a factor 1/2 (leavi
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The Hurwiz method Hurwiz method was the concept of coefficient of optimism or pessimism introduced by L. Hurwicz. The decision maker takes into account both the minimum and max
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