48. Let a,B be the roots of x + x +1=0 then the equation whose roots are o? 57 29 and g1004 is x? - x -1 = 0 -x-1%3D0 2 2) x* + x-1 = 0 1) 3) x* +x-1=0 4) x + x+1=D0 .2 49. Two students while solving a quadratic equation in x. one copied the constant term incorrectly and 5 oot the roots as 3 and 2. The other copied the constant term and co-efficient of x as -6 and 1 respetively. The correct roots are 1) 3,-2 2) -3,2 3) -6,-1 4) 6,-1 50. If the equation (2? 52 +6)x +(^ 32 + 2)x + (2 4) = 0 is satisfied by more than two values of x then 2 = 1) 1 2) -2 3) 3 51. If sin 0, sin kO are the roots of 4x + 2x 1 = 0 4) 2 then 0 = 1) -18 2) 18 3) 36 4) -36 52. The roots of the equation |x - x- 6 = x+2 are 1) 1,-2,2 2) 1,2,4 3) -2,2,4 4)-2,2,3 33. If the roots of the equation x -2cx+ab=0 be real equation and unequal, the roots of the x -2 (a+b) x+(a+b+2c*)= 0 are 2) real and equal ION 10 1) real and distinct 4) imaginary *. The number of quadratic equations which are unchanged by squaring their roots is 4) 8 3) real 1) 2 2) 4 3) 6 55. If the roots of px + 2qx+r = 0 _and .2 qx? qx 2,/prx +q = 0 are simultaneously real. then 1) p= q;r #0 3) pr = q 56. I.For 2