Fill in the blanks:
Locus of the mid-points of the portion of the line `xcos theta + ysi theta = p` intercepted between the axes is ……………..

The locus of the middle point of the portion of a tangent to the ellipse x^2/a^2+y^2/b^2=1 included between axes is

The equation of the locus of the middle point of the portion of the tangent to the ellipse x^(2)/16+y^2/9=1 included between the co-ordinate axes is the curve

Find the locus of middle points of the variable line x cos alpha+y sin alpha-p=0 intercepted by the axes given that p remains constant .

Find the equations of the straight lines which pass through the origin and trisect the portion of the st. line x/a+y/b=1 , which is intercepted between the axis.

Find the equation of the line through (2,3) so that the segment of the line intercepted between the axes is bisected at this point.

Find the equations of the lines passing through the point (2, 2) such that the sum of their intercepts on the axes is 9.

If p and q are the lengths of perpendiculars from the origin to the lines xcos theta -ysin theta = k cos 2 theta and x sec theta + y cosec theta= k , respectively, prove that p^2 + 4q^2 = k^2 .

Fill in the blanks: Horizontal range is same for angle of porjection theta and _____

Fill in the blanks The are bounded by the axes and the line y= x+1 is………. .