L.Hospital(theory),Questions from P.P.P-45 to 60

If P={4,5},Q={7}, find the defined relations from P to Q

Two moles of an ideal gas undergo the following process : (a) a reversible isobaric expansion from ( P atm, V L) to ( P atm , 2V L) . (b) a reversible isochoric change of state from ( P atm , 2V,L) to (P//2 atm, 2V L) (c ) a reversible isothermal compression from (P//2 atm, 2V L) to (P atm, V L) . Sketch with labels each of the processes on the same P-V diagram.

Question on p -1 to p-4,property-5

Theory OF A.P.

Integration by parts (I.B.P) theory

If the perpendicular distance of a point A other than the origin from the plane x+y+z=p is equal to the distance of the plane from the origin,then the coordinates of p are (A) (p,2p,0)(B)(0,2p,-p)(C)(2p,p,-p)(D)(2p,-p,2p)

Theory OF Sum OF First n Terms OF A.P

If P is a point in space such that OP=12 and vec(OP) is inclied at angle of 45^(@) and 60^(@) with OX and OY respectively, then the position vector of P is