Find the locus of P, if for all values of `alpha`, the co-ordinates of a moving point P is
`(9cosalpha, 6sinalpha)`

Find the locus of P, if for all values of alpha , the co-ordinates of a moving point P is (9cosalpha, 9sinalpha)

For all values of theta , the coordinates of a moving point P are (acostheta,asintheta) , the locus of P will be a-

For all values of theta , the coordinates of a moving point P are (acostheta,bsintheta) , find the equation to the locus of P.

Consider the figure find the co-ordinates of the point P

Let lamda and alpha real. Find the set of all values of lamda for which the system. x+(sinalpha)y+(cosalpha)z=0, x+(cosalpha)y+(sinalpha)z=0, -x+(sinalpha)y+(cosalpha)z=0 has a non trivial solution. For lamda=1 find all values of alpa.

The distance the points (sinalpha, cosalpha,0), (cosalpha, - sin alpha,0) is

Distance of point P on parabola y^(2) = 12x is SP = 6 then find co-ordinate of point P.

Find the locues of the middle point of the portion of the line x"cos"alpha+y"sin"alpha=p , where p is a costant, intercepted between the axes.