Locus of the mid-points of the intercepts between the coordinate axes by the lines passing through `(a,0)` does not intersect

The locus of the mid-point of the portion intercepted between the axes by the line xcosalpha+ysinalpha=P passes through the point (p+1,p-1), then p^4-5p^2 =

If the sum of the reciprocals of the intercepts made by a line on the coordinate axes is 7 ,then the line always passes through

If the coordinates of the middle point of the portion of a line intercepted between the coordinate axes is (3,2) , then the equation of the line will be

Locus of mid-point of the portionof the line x cos alpha + y sin alpha =p between the coordinate axes is-

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line ax+by+c=0 and lx+my+n=0

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3).

Find the equation of a line that cuts off equal intercepts on the coordinate axes and passes through the point (2, 3) .