Straight line px-qy=r intercept the coordinate axis at the point (a,0)and (0,b).Find (a+b).

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 the straight line throught the origin and perpendicular to the line joining (4,0) and (0,4) . Hence . Show that the point (4,0) is the image of the point (0,4) with respect to the line.

One diagonal of a square is the portion of the line (x)/(a)+(y)/(b)=1 . Intercepte by the coordinate axe. Find the coordinates of the ends of its other diagonal.

A moving straight line always passes through the point (h,k) . Prove that the locus of the middle point of the portion of the straight line intercepted between the axes of coordinates is , (h)/(x)+(k)/(y)=2 .

The sum of the intercepts cut off from the coordinate axes by a variable line is 14 units . Find the locus of the point which divides internally the portion of the line intercepted between the coordinate axes in the ratio 3:4 .

("at"^(2),2"at") is a point on the line 2x-5y+12a =0 , from this find the coordinates of two points on the line.

A straight line passes through (1,1) and portion of the line intercept between the axes is divided at this point in the ratio 3:4. Find the equation of the line.

A straight line AB intersects the y-axis at B and the perpendicular to AB at B intersects the x-axis at C . If the equation of the straight line AB is (x)/(3)-(y)/(4)=-1 find the coordinates of the points C.

The sum of the intercepts cut off from the axes of coordinates by a variable straight line is 10 units . Find the locus of the point which divides internally the part of the straight line intercepted between the axes of coordinates in the ratio 2:3 .

Find the condition that the points (a,b),(b,a)and (a^(2),-b^(2)) are in a straight line .