Related InterviewSolutions

• Let [x] represent the greatest integer less than or equal to`x`If [`sqrt(n^2+lambda)]=[n^2+1]+2`, where `lambda,n in N ,`then `lambda`can assume`(2n+4)d iffe r e n tv a l u s``(2n+5)d iffe r e n tv a l u s``(2n+3)d iffe r e n tv a l u s``(2n+6)d iffe r e n tv a l u s`A. (2n+4) different valuesB. (2n+3) different valuesC. (2n+5) different valuesD. (3n+6) different values
• The solution set of equation `(x+2)^(2)+[x-2]^(2)=(x-2)^(2)+[x+2]^(2)`, where [.] represents the greatest integer function, isA. NB. ZC. QD. R
• The number of solutions of `|[x]-2x|=4, "where" [x]]` is the greatest integer less than or equal to x, isA. 2B. 4C. 1D. infinite
• Number of solutions of the equation `x^(2)-2=[sinx]`, where [.] denotes the greatest integer function, isA. 3B. 4C. 2D. 1
• The equation `(0.4)^(x-1)=(6.25)^(6x-5)` hasA. no solutionB. one solutionC. two solutionsD. more than two solutions
• The number of real solutions of the equation `sin(e^x)=2^x+2^(-x)` is
• The equation `2sin^(2)((x)/(2))cos^(2)x=x+(1)/(x),0 lt x le(pi)/(2)` hasA. one real solutionB. no real solutionC. infinitely many real solutionsD. None of these
• The equation `||x-2|+a|=4`can have four distinct real solutions for `x`if `a`belongs to the interval`(-oo,-4)`(b) `(-oo,0)``(4,oo)`(d) none of theseA. `(-oo,4)`B. `(-oo,-4)`C. `(4,oo)`D. `[-4,4]`
• The number of real roots of the equation `sqrt(1+sqrt(5)x+5x^(2))+sqrt(1-sqrt(5)x+5x^(2))=4` is
• The equation `(x/(x+1))^2+(x/(x-1))^2=a(a-1)`hasFour real roots if `a >2`Four real roots if `a