48. Let a,B be the roots of x + x +1=0 then the equation whose roots...

 

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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) x² + 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 x² 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)x² +(^² – 32 + 2)x + (2² – 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 4x² + 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 x² -2cx+ab=0 be real equation and unequal, the roots of the x² -2 (a+b) x+(a²+b²+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? qx² – 2,/prx +q = 0 are simultaneously real. then 1) p= q;r #0 3) pr = q² 56. I.For 2<x<4 the sign of the expression x² – 6x + 5 2) 2q = Jpr 2 4) pr =q is negative II. For x [2,4] the sign of the expression Which of the above statement(s) is (are) true ? 1) only I x* -6x+5 is positive 2) only II 3) both I and II 4) neither I nor II 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) x² + 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 x² 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)x² +(^² – 32 + 2)x + (2² – 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 4x² + 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 x² -2cx+ab=0 be real equation and unequal, the roots of the x² -2 (a+b) x+(a²+b²+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? qx² – 2,/prx +q = 0 are simultaneously real. then 1) p= q;r #0 3) pr = q² 56. I.For 2<x<4 the sign of the expression x² – 6x + 5 2) 2q = Jpr 2 4) pr =q is negative II. For x [2,4] the sign of the expression Which of the above statement(s) is (are) true ? 1) only I x* -6x+5 is positive 2) only II 3) both I and II 4) neither I nor II