if the equations `y=mx+c` and `xcosalpha+ysinalpha=p` represent the same straight line then:

If the equations y=m x+c and xcosalpha+ysinalpha=p represent the same straight line, then (a) p=csqrt(1+m^2) (b) c=psqrt(1+m^2) (c) c p=sqrt(1+m^2) (d) p^2+c^2+m^2=1

If the equations y=m x+c and xcosalpha+ysinalpha=p represent the same straight line, then (a) p=csqrt(1+m^2) (b) c=psqrt(1+m^2) (c) c p=sqrt(1+m^2) (d) p^2+c^2+m^2=1

If the equations y=m x+c and xcosalpha+ysinalpha=p represent the same straight line, then (a) p=csqrt(1+m^2) (b) c=psqrt(1+m^2) (c) c p=sqrt(1+m^2) (d) p^2+c^2+m^2=1

The equation ax+by+c=0 represents a straight line

Show that the equation of the straight line xcosalpha+ysinalpha=p can be expressed in the following form: (x-pcosalpha)/(-sinalpha)=(y-p sin alpha)/(cosalpha)=r

Show that the equation of straight line xcosalpha+ysinalpha=p can be expressed in the following form : (x-pcosalpha)/-sinalpha=(y-p sinalpha)/cosalpha=r

Find the value of alpha and p if the equation xcosalpha+ysinalpha=p is the normal form of the line sqrt(3x)+y+2=0 .

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.

Find the locus of the middle point of the portion of the line xcosalpha+ysinalpha=p which is intercepted between the axes, given that p remains constant.