The sum of the intercepts on the coordinate axes made by a line passing through the point (a, b) and the common point of `(x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1` is

The equation of the line passing through the origin and the point of intersection of the lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 is

The equation of the line passing through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1,(x)/(b)+(y)/(a)=1 and having slope zero is

If a + bne 0 , find the coordinates of focus and the length of latus rectum of the parabola y^(2) = 2 mx which passes through the point of intersection of the straight lines (x)/(a)+(y)/(b)=1 and (x)/(b)+(y)/(a)=1 .

The sum of the reciprocals of intercepts made by the line ax+by=a+b on the coordinate axes is

Find the equation of the straight line passing through the origin and the point of intersection of the lines x/a + y/b = 1 and x/b + y/a = 1.

The intercepts made by a line on the coordinate axes are in the ratio m: n. If it passes through the point (1,0), then the equation of the line is

Let a and be nonzero reals such that a ne b . Then the equation of the line passing through the origin and the point of intersection of x//a+y//b=1 and x//b+y//a=1 is

If the line x/a+y/b=1 passes through the points a (2,- 3) and (4, - 5), then (a, b) =

If x/l+y/m=1 is any line passing through the intersection point of the lines x/a+y/b=1 and x/b+y/a=1 then prove that 1/l+1/m=1/a+1/b