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

Two identical piano wires have a fundamental frequency of $600 \text{ Hz}$ when kept under the same tension. What fractional increase in the tension of one wire will lead to the occurrence of $6 \text{ beats per second}$ when both wires vibrate simultaneously?

Acetic acid is reacted with metallic sodium to form hydrogen and $X$. When $X$ is heated with sodalime,$Y$ and sodium carbonate are formed. $Y$ is

Which of the following biomolecules is common to respiration-mediated breakdown of fats,carbohydrates and proteins?

The equation of the pair of lines passing through the origin whose sum and product of slopes are respectively the arithmetic mean and geometric mean of $4$ and $9$ is

If the equation $x^2+2 \sqrt{2} xy+2y^2+4x+4 \sqrt{2}y+1=0$ represents a pair of parallel straight lines,find the distance between them.