The variance of $50$ observations is $7$. If each observation is multiplied by $6$ and then $5$ is subtracted from it,then the variance of the new data is

$\int \frac{x-1}{(x+1) \sqrt{x(x^2+x+1)}} dx = $

If $S_n = 1^3 + 2^3 + \ldots + n^3$ and $T_n = 1 + 2 + \ldots + n$,then

$A$ hyperbola passes through a focus of the ellipse $\frac{x^2}{169} + \frac{y^2}{25} = 1$. Its transverse and conjugate axes coincide respectively with the major and minor axes of the ellipse. The product of their eccentricities is $1$. Then,the equation of the hyperbola is:

What is formed when carbon monoxide reacts with $Cl_2$ in the presence of sunlight?

Which of the following animals possesses a four-chambered heart?