Equations Part-1

01) Find the equation of the line passing       through the point (1, 1) and parallel      to the line 3x + 5y +8 =0      (a) 3x + 5y +8 =0      (b) 5x + 3y +8 =0      (c) 5x + 3y -8 =0      (d) 3x + 5y -8 =002) The equation of a line which is        perpendicular to 5x - 2y =7 and      passes through the mid-point of       the line joining (2, 7) and (-4, 1)       is:     (a) 2x - 5y -18 =0     (b) 2x + 5y +18 =0     (c) 2x + 5y -18 =0     (d) None of these03) On solving sqrt[x / (1 - x)] +      [(1 - x) / x] = 2 1                               6      we get one value of x as:     (a)  4           13     (b)   1            13     (c)   2            13     (d)   3            1304) Positive value of 'k' for      which the roots of equation      12x²  + kx + 5 = 0 are in      ratio 3:2 is     (a) 5/12     (b) 12/5     (c) 5 √10              2     (d) 5√8 05) The line joining (-1, 1) and      (2, -2) and the line joining      (1, 2) and (2, k) are perpen-       dicular to each other for the       following value of k:      (a) 1      (b) 0      (c) -1      (d) 3