The least positive integer value of `a`, so that the line `(3-a)x+ay+(a^(2)-1)=0` is normal to the curve `xy=1` ,is

The value of the parameter a so that the line (3-a)x+ay+ a^2-1=0 is normal to the curve xy=1 may lie in the interval

The value of parameter t so that the line (4-t)x+ty+(a^(3)-1)=0 is normal to the curve xy = 1 may lie in the interval

The least positive integral value of lambda for which two chords bisected by x-axis can be drawn to the circle x^2 + y^2 - lambdaax-ay-a^2 (lambda^2 + 1) = 0 , from point (a(lambda-1), a (lambda + 1) is ..

What is the greatest integer value of x such that 1-2x is at least 6?

If Ax+By=1 is a normal to the curve ay=x^(2) , then :

The least positive integral value of 'k' for which there exists at least one line that the tangent to the graph of the curve y=x^(3)-kx at one point and normal to the graph at another point is

Least positive integral value of 'a' for which log_((x+(1)/(x)))(a^(2)-3a+3) gt 0, (x gt 0) :

Least positive integral value of 'a' for which log_((x+(1)/(x)))(a^(2)-3a+3) gt 0, (x gt 0) :

The least integral value of 'a' for which the equation x^2+2(a - 1)x + (2a + 1) = 0 has both the roots positive, is

The least integer value of x , which satisfies |x|+|(x)/(x-1)|=(x^(2))/(|x-1|) is