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The number of solutions of |x-1| - |x-2|...

The number of solutions of |x-1| - |x-2| = k, when -3 < k < 3, is,

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The absolute valued function f is defined as f(x) = {{:(x,, x ge 0),(-x ,, x lt 0):}} and fractional part function g(x) as g(x) = x-[x], graphically the number of real solution(s) of the equation f(x) = g(x) is obtained by finding the point(s) of interaction of the graph of y = f(x) and y = g(x). The number of solution (s) |x-1| - |x+2| = k , when -3 lt k lt 3

The absolute valued function f is defined as f(x) = {{:(x,, x ge 0),(-x ,, x lt 0):}} and fractional part function g(x) as g(x) = x-[x], graphically the number of real solution(s) of the equation f(x) = g(x) is obtained by finding the point(s) of interaction of the graph of y = f(x) and y = g(x). The number of solution (s) |x-1| - |x+2| = k , when -3 lt k lt 3

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If cos(x+pi/3)+cos x=a has real solutions, then number of integral values of a are 3 sum of number of integral values of a is 0 when a=1 , number of solutions for x in [0,2pi] are 3 when a=1, number of solutions for x in [0,2pi] are 2

If cos(x+pi/3)+cos x=a has real solutions, then (a) number of integral values of a are 3 (b) sum of number of integral values of a is 0 (c) when a=1 , number of solutions for x in [0,2pi] are 3 (d) when a=1, number of solutions for x in [0,2pi] are 2