If the equation` |2-x|-|x+1|=p` has exactly one solution ,then the number of integral values of `p`=

If the equation |2 - x| - |x + 1|= k has exactly one solution, then number of integral values of k is (A) 7 (B) 5 (C) 4 (D) 3

If "sin" x = lambda has exactly one solution in [0, 9 pi//4] then the number of values of lambda , is

If the equation ln (x^(2) +5x ) -ln (x+a +3)=0 has exactly one solution for x, then possible integral value of a is:

If the equation ln (x^(2) +5x ) -ln (x+a +3)=0 has exactly one solution for x, then possible integral value of a is:

If x^2-2rp_rx+r=0; r=1, 2,3 are three quadratic equations of which each pair has exactly one root common, then the number of solutions of the triplet (p_1, p_2, p_3) is

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

The equation x + cos x = a has exactly one positive root. Complete set of values of 'a' is

If 5x^2-2kx+1 < 0 has exactly one integral solution which is 1 then sum of all positive integral values of k.

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

The number of integral values of n (where n>=2) such that the equation 2n{x} = 3x + 2[x] has exactly five solutions (where [.] denotes the greatest integer function and {x} denotes the fractional part of x) is