26. The expression 2x2 +4x+7 has minimum value m at x = a. The ordered pair...

 

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26. The expression 2x2 +4x+7 has minimum value m at x = a. The ordered pair ( a,m) is 1) ( 1, 5) 3) (– 1, – 5 ) 2) ( 1, – 5) 4) ( – 1, 5 ) 27. The set of values of x for which the inequalities x² -3x -10 < 0, 10x x? - 16 > 0 hold simultaneously, is 1) (– 2, 5) 2) (2, 8) 3) (– 2, 8) 4) (2, 5) 28. If x is real then the minimum value of - x+1 | .2 is x* +x+1 1) 1 / 3 2) 3 3) 1 / 2 4) 1 29. If a,ß are the roots of ax² + bx + c = 0 then %3D 2 B b² (b? - 4ac 1) c²a? 62 (b? – 4ac 2) 2 2 са 3 са b? (b? – 4ac) 4) -4ac 3) 4 a c* ID 30. If a,ß are the roots of ax² + bx + c = 0 then N MGRM 3 3 B aß + b aa + b n 1) 0 2) 1 3) (a+b)² 4) (a-b)² 31. If a,ß are the roots of x + px – q = 0 and y,8 | are the roots of x* + px+r=0 then (a-r)(B-Y)(c-8)(B–8) = 1) 2q? 2) 2p² 3) (q+r)* 4) (q-r)? 32. X, and x. X, are the roots of the equation Ax - 4x+1=0 and x, and x, are the roots of *A the equation Bx² - 6x+1=0. If x1, X2, X3, X4 X2 form a HP, then (A, B) = 1) ( 3, 3) 2) (8, 8) 3) ( 3, 8 ) 4) ( 8, 3 ) 33. If 3p = 5p+2 and 39 = 5q+2 where p#q, then the equation whose Зр - 2q and 3q - 2p is %3D roots are = 4 1) 3x? - 5x – 100 =0 2) 5x2 +3x+100=D0 3) 3x2 -5x+100=0 4) 3x2+5x-100=0 147 26. The expression 2x2 +4x+7 has minimum value m at x = a. The ordered pair ( a,m) is 1) ( 1, 5) 3) (– 1, – 5 ) 2) ( 1, – 5) 4) ( – 1, 5 ) 27. The set of values of x for which the inequalities x² -3x -10 < 0, 10x x? - 16 > 0 hold simultaneously, is 1) (– 2, 5) 2) (2, 8) 3) (– 2, 8) 4) (2, 5) 28. If x is real then the minimum value of - x+1 | .2 is x* +x+1 1) 1 / 3 2) 3 3) 1 / 2 4) 1 29. If a,ß are the roots of ax² + bx + c = 0 then %3D 2 B b² (b? - 4ac 1) c²a? 62 (b? – 4ac 2) 2 2 са 3 са b? (b? – 4ac) 4) -4ac 3) 4 a c* ID 30. If a,ß are the roots of ax² + bx + c = 0 then N MGRM 3 3 B aß + b aa + b n 1) 0 2) 1 3) (a+b)² 4) (a-b)² 31. If a,ß are the roots of x + px – q = 0 and y,8 | are the roots of x* + px+r=0 then (a-r)(B-Y)(c-8)(B–8) = 1) 2q? 2) 2p² 3) (q+r)* 4) (q-r)? 32. X, and x. X, are the roots of the equation Ax - 4x+1=0 and x, and x, are the roots of *A the equation Bx² - 6x+1=0. If x1, X2, X3, X4 X2 form a HP, then (A, B) = 1) ( 3, 3) 2) (8, 8) 3) ( 3, 8 ) 4) ( 8, 3 ) 33. If 3p = 5p+2 and 39 = 5q+2 where p#q, then the equation whose Зр - 2q and 3q - 2p is %3D roots are = 4 1) 3x? - 5x – 100 =0 2) 5x2 +3x+100=D0 3) 3x2 -5x+100=0 4) 3x2+5x-100=0 147