Page 40 - CHAPTER 4 (Quadratic equations)
P. 40

CHAPTER 4

                                                                    QUADRATIC EQUATIONS


              EXERCISE


              MCQ’s


                                                                            3
                                                                     6
              1.  Values of x satisfying the equation: x -26x -27=0 are:
                  (A) -1,3                  (B) 1,3                    (C) 1,-3                     (D) -1,-3


              2.  Values of x satisfying the equation: √2x+9+x=13 are:

                 (A) 4,16                  (B) 8                       (C)   2                      (D) 8,20

              3.  Values of x satisfying the equation: √2x+9 - √x-4=3 are:


                  (A) 4,16                  (B) 8,20                  (C) 2,8                    (D) 1,2

                                                                                     1
                                                                           1
                                                                       2
              4.  Values of x satisfying the equation: 2[x + ]-9[x+ ]+14=0 are:
                                                                           x 2       x
                 (A) ½,1,2                (B) 1/3, 2,4              (C) 1/3, 4,1              (D) 2,3,5
                                                                                         2
                                                                       2
              5.  Values of x satisfying the equation: √x +x-6 -x+2=√x -7x+10 are:
                            10
                  (A) 2,6,-                (B) 2,6                      (C) -2,-6                (D) 1,2,3
                             3
                                                                                  2
                                                                                                   2
                                                                                           2
              6.  The number of real roots of the equation: (x-1) +(x-2) +(x-3) =0
                  (A) 0                       (B) 2                         (C) 3                       (D) 6

              7.  Values of x satisfying the equation: (x+2)(x-5)(x-6)(x+1)=144 are:

                  (A) -1,-2,-3            (B) 7,-3,2                 (C) 2,-3,5                 (D) 4,5,6

                                                                                2
              8.  Consider  the  quadratic  polynomial  f(x)=  ax -x+c  such  that  ac>0
                  and its graph lies below x axis, then


                  (A) a<0,c>0          (B) a<0, c<0            (C) a>0,c>0            (D) a>0,c<0

                                                                                    2
              9.  If    ,     are  the  roots  of  a  quadratic  equation  x -3x+5=0,  then  the
                                                                         2
                                                        2
                  equation whose roots are α -3α+7 and β -3β+7 is:
                                                                         2
                        2
                  (A) x +4x+1                                      (B) x -4x+4=0
                                                                          2
                        2
                  (C) x -4x-1=0                                    (D) x +2x+3=0
                                                          2
              10. The value of the expression x +2bx+c will be positive for all real x, if

                  (A) b -4c>0               (B) b -4c<0          (C) c <b                 (D) b <c
                                                   2
                                                                                                 2
                                                                         2
                         2

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