Identify the major product of the following reaction:

If the parametric equations of the circle passing through the points $(3,4), (3,2)$ and $(1,4)$ are $x=a+r \cos \theta$ and $y=b+r \sin \theta$,then find the value of $b^a r^a$.

$A$ gas at $27 ^oC$ has a volume $V$ and pressure $P$. On heating, its pressure is doubled and volume becomes three times. The resulting temperature of the gas will be ....... $^oC$.

Changes in $GnRH$ pulse frequency in females is controlled by circulating levels of

Sodium is heated in air at $300^{\circ} C$ to form $X$. $X$ absorbs $CO_2$ and forms $Na_2CO_3$ and $Y$. Which of the following is $Y$?

$A$ 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: