Find the equation of the straight line through the point P(a,b) parallel to the line `x/a+y/b = 1` also find the intercepts made by it on the axes .

The equation of the straight line passing through the point (3,2) and perpendicular to the line y=x is,

Find the equation of the line passing through the point (3, 0, 1) and parallel to the planes x + 2y = 0 and 3y – z = 0.

Find the equation of the tangent to the curve y^(2)=16x which is parallel to the line 4x-y=1 .

Find the equations of the tangent to the curve y=cos(x+y) which is parallel to the line x+2y=0 .

Equation of the line passing through (1, 2) and parallel to the line y=3x -1 is

Find the combined equation of the straight lines passing through the point (1,1) and parallel to the lines represented by the equation . x^2-5xy+4y^2+x+2y-2=0 .

Find the equation of the lines through the point (3,2) which make an angle of 45^(@) with the line x-2y=3 .

Find the equation of the line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

Find the equation of the straight line which passes through the point (2,-3) and is (i) parallel to the X-axis , (ii) perpendicular to the X - axis