[6." angle,two lorres "(p+Q)" and "(p-alpha)],[" be thelined "],[sqrt(3p+Q^(2))" ? "]

At what angle do two forces (P+Q) and (P-Q) act so that the resultant is sqrt(3P^2+Q^2)

At what angle do the two forces (P+Q) and (P-Q) act so that the resultant is sqrt(3P^(2)+Q^(2)) ?

AT what angle two forces (P +Q) and (P-Q) act so that resultant is (i) sqrt(2 P^2 + Q^2) (ii) sqrt(2 P^2 + Q^2) (iii) sqrt(2 P^2 + Q^2) .

When the angle between forces P and Q is alpha , magnitude of the resultant is 5sqrt(P^2+Q^2) . When th angle between them changes to (90^@-alpha) , magnitude of the resultant changes to 3sqrt(P^2+Q^2) . Prove thet tan alpha=1/3 .

The resultant of two forces P and Q is 5 sqrt(P^2+Q^2) when the angle between them is alpha . When the angle changes to (90^@-alpha) , the resultant becomes 3sqrt(P^2+Q^2) . Show that, tan alpha =1/3 .

If alpha,beta are the roots of the equation x^(2)+px-r=0 and (alpha)/(3),3 beta are the roots of the equation x^(2)+qx-r=0, then r equals (i)((3)/(8))(p-3q)(3p+q)(ii)((3)/(8))(3p-q)(3p+q)(iii)((3)/(64))(q-3p)(p-3p)(iv)((3)/(64))(p-q)(q-3p)