PYQSidePowered by
ExamsMy practice
If S = \a R : |2a - 1| = 3[a] + 2\a\\, where [t] denotes the greatest integer less than or equal to t and \t\ represents the fractional part of t, then 72 a S a is equal to .
18
\a\ = a - [a] |2a - 1| = [a] + 2a
Case a 12: 2a - 1 = [a] + 2a [a] = -1, i.e. a < 0 no solution
Case a < 12: 1 - 2a = [a] + 2a; put a = I + f (I = [a], 0 f < 1)
5I = 1 - 4f (-3, 1] I = 0, f = 14 a = 14
S = \ 14 \ 72 a S a = 72 14 = 18
Answer: 18
If the domain of the function -1 ( 3x-222x-19 )+ e ( 3x2-8x+5x2-3x-10 ) is ( , ], then 3 +10 is equal to:
Let the sum of the maximum and the minimum values of the function f(x)= 2x2-3x+82x2+3x+8 be mn, where (m, n)=1. Then m+n is equal to :
If the domain of the function f(x)= x2-25 (4-x2 )+ 10 (x2+2x-15 ) is (- , ) [ , ), then 2+ 3 is equal to :
If the domain of the function f(x)= -1 ( 2-|x|4 )+ \ e(3-x) \-1 is [- , )-\ \, then + + is equal to :
If the domain of the function f(x)= e ( 2 x+34 x2+x-3 )+ -1 ( 2 x-1x+2 ) is ( , ], then the value of 5 -4 is equal to