Pair of straight lines through origin

x^(3)+y^(3)=8, Number of straight lines through origin which do not meet this curve is

Two mutually perpendicular straight lines through the origin from an isosceles triangle with the line 2x+y=5. Then the area of the triangle is

The differntial equation of all straight line passing through origin is

show that the equation of the straight line through the origin making angle phi with the line y=mx+b

Equation of pair of straight lines drawn through (1, 1) and perpendicular to the pair of lines 3x^(2)-7xy+2y^(2)=0 , is

P–V diagram of a monatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be:

Assertion : V = iR is Ohm's law. Reason : V - I graph is always a straight line passing through origin.