Find the equation of the line which cut off intercepts on the axes whose sum and product are 1 and -6 respectively.

Write down the equation of the straight line which cuts intercepts 6, -7 from the axes.

Find the numbers whose sum is 27 and product is 182.

Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.

Find the equation of the straight line which cuts the Y-axis at the point (0, 2) and cut of intercepts of equal length from the axes.

Find the coordinates of the point in the octant OXYZ whose distances from the axes are 4 sqrt5 , 5 sqrt3 and 5 respectively.

Find the equation of the line passing through the points (1,3) and (-2,-1).

Find the equation of the straight line which passes through the point (2, -3) and cuts off intercepts on the axes (ii) equal in magnitude but opposite in sign

Find the equation of the straight line which passes through the point (2, -3) and cuts off intercepts on the axes (i) equal in magnitude and sign

Find the equation of the ellipse whose vertices are (0,+-6) and eccentricty is 1/3.