The eccentricity of the ellipse which meets the straight line `x/7+y/2= 1` on the x- axis and the straight line `x/3-y/5=1` on the y-axis and whose axis lie along the axis of coordinate

Find the equation of the straight line which passes through the point (2, 3) and whose intercept on the y-axis is thrice that on the x-axis.

Find the equation of the line which is perpendicular to the line x/a - y/b = 1 at the point where this line meets y-axis.

For the straight line sqrt(3) y-3x=3 , find the intercepts on the x-axis and y-axis.

Find the equation of a straight line which passes through the point of intersection of the straight lines x+y-5=0 and x-y+3=0 and perpendicular to a straight line intersecting x-axis at the point (-2,0) and the y-axis at the point (0,-3).

Find the equation of the straight line which passes through the point (2, 3) and whose intercept on the x-axis is double that on the y-axis.

The area bounded by the parabola y^2 = x , straight line y = 4 and y-axis is

Find the points of the x-axis, whose distances from the line x/3+y/4=1 are 4 unit is.

Find the area of the region bounded by the line y=3x+2 , the x-axis and the ordinates x=-1 and x=1

Find the equation of a straight line drawn perpendicular to the line x/a + y/b =1 through the point where it meets the y-axis.

Find the equation of the straight line which cuts off an intercept- 5 from the y -axis and makes an angle of sin^-1 (12/13) with the x-axis.