Mathematics Tes...

The value of K, for which the equation (K–2)x² + 8x + K + 4 = 0 has both the roots real distinct and negative is:

If A and B are two square matrices such that B = –A^–1 BA, then (A+B)² is equal to

For \(n \geq 2\) the product \(\left\{1+\alpha,\{\}+\alpha^{2}\right\}\left\{1+\alpha^{2^{2}}\right\}, \ldots,\left\{1+\alpha^{2^{n}}\right\},\) where \(\alpha=\left(\frac{1+i}{2}\right),\) is equal to...

The coefficient of the term independent of x in the expansion of \(\left(1+x+2 x^{3}\right)\left(\frac{3}{2} x^{2}-\frac{1}{3 x}\right)^{9}\)is:

a, b, c are positive numbers and abc² has the greatest value 1/ 64. Then...

If \(f(x)=x+\frac{1}{x} \nabla x \in R-(0)\) then,

The value of \(\lim _{x \rightarrow 1} \frac{3^{x+1}-9}{4^{2 x+1}-64}\) is...

The altitude of a cone is 20cm and its semi-vertical angle is 30 °. If the semi-vertical angle is increasing at the rate of 2 ° per second, then the radius of the base is increasing at the rate of.....

The set of all values of the parameter a for which the points of minimum of the function \(y=1+a^{2} x-x^{3}\) Satisfy the inequality \(\frac{x^{2}+x+2}{x^{2}+5 x+6} \leq 0\) is,