Jssc pgt -3

Jssc pgt physics

Two straight lines pass through the fixed points (+-a, 0) and have slopes whose products is pgt0 Show that the locus of the points of intersection of the lines is a hyperbola.

Two straight lines pass through the fixed points (+-a, 0) and have slopes whose products is pgt0 Show that the locus of the points of intersection of the lines is a hyperbola.

Various rules of thumb have seen proposed by the scientific community to expalin the mode of radioactive decay by various radioisotopes. One of the major rules is called the n//p ratio. If all the known isotopes of the elemnts are plotted on a graph of number of neutrons (n) versus number of protons (p), it is observed that all isotopes lying outside of a ''stable'' n//p ratio region are radioactive as shown fig. The graph exhibits straight line behaviour with unit slope up to p=25 . Above p=25 , tgose isotopes with n//p ratios lying above the stable region usually undergo beta decay. Very heavy isotopes (pgt83) are unstable because of their relativley large nuclei and they undergo alpha decay. Gamma ray emission does not involve the release of a particle. It represnts a change in an atom from a higher energy level to a lower energy level. How would the radioisotope of magnesium with atomic mass 27 undergo radioactive decay?.

If x+3 is a factor of f(x)=px^(2)+p^(2)x+30 and pgt0 , what is the value of p?

sqrt(3p^(2)-11)-x=0 If pgt0 and x=8 in the equation above, what is the value of p?

Suppose the cubic x^(3)-px+q has three distinct real roots, where pgt0 and qgt0 . Then find the max and min points .

If sec A - tan A = p, pgt0 , find tan A, sec A and sin A if A is acute angle.

If (4p+1)^(2)=81 and pgt0 , what is a possible value of p?