Find the condition for the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and xy =c^(2) to interest orthogonally.
Find the condition for two vectors to be (i) paraiiel.
In isolated system, find the condition for spontaneous reaction:
Find the condition on k for the equation kx^2+(k+2)x+(k+3)=0 to have real roots.
An e.m. wave with poynting vector 6watt//m^2 is absorbed by a surface of area 12m^2 . Find the force on the surface.
Let us assume that air is under standard conditions close to the Earth's surface. Presuming that the temperature and the molar mass of air are independent of height, find the air pressure at the height 5.0 km over the surface and in a mine at the depth 5.0 km below the surface.
Find the condition that the straight line cx-by+b^(2)=0 may touch the circle x^(2)+y^(2)=ax+by