Related InterviewSolutions

• If a, b, c are positive integers, then `((a^(2)+b^(2)+c^(2))/(a+b+c))^(a+b+c)gta^(x)b^(y)c^(z)`, thenA. `x=a, y=b, z=c`B. `x=b, y=a, z=c`C. `x=(1)/(a),y=(1)/(b),z=(1)/( c )`D. `x=y=z=1`
• For all positive values of x and y, the value of `((1+x+x^(2))(1+y+y^(2)))/(xy)`,isA. `le9`B. `lt9`C. `ge9`D. `gt9`
• If `agt1,bgt1,cgt1,dgt1` then the minimum value of `log_(b)a+log_(a)b+log_(d)c+log_(c)d`, isA. 1B. 2C. 3D. 4
• If `x_(n)gt1` for all `n in N`, then the minimum value of the expression `log_(x_(2))x_(1)+log_(x_(3))x_(2)+...+log_(x_(n))x_(n-1)+log_(x_(1))x_(n)` is
• Number of integers, which satisfy the inequality `((16)^(1/ x))/((2^(x+3))) gt1,` is equal to
• The number of solution of the equation `16(x^(2)+1)+pi^(2)=|tanx|+8pix` is equal toA. 2B. 4C. 1D. infinite
• The numbers of integral solutions of the equations `y^(2)(5x^(2)+1)=25(2x^(2)+13)" where "x, y inI`, isA. 2B. 4C. 8D. infinite
• The least value of `2^(sinx)+2^(cosx)`, isA. `2^(1//sqrt(2))`B. `2^(1-2^(-1//2))`C. `2^(1+2^(-1//2))`D. `2^(1-sqrt(2))`
• If `0ltxlt(pi)/(2)`, then the minimum value of `(sinx+cosx+cosec2x)`,isA. 27B. `(27)/(2)`C. `(25)/(4)`D. none of these
• Number of solutions of `|(1)/(|x|-1)|=x+sinx,` isA. 1B. 2C. 3D. none of these