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B. (2/3)^2 C. 32 D. (3/4)^2 E.(1/3)^2

1. A quadratic equation with roots -3 and 5 is
   A.x2-15=0 B. x2-8x-15=0 C.x2+8x-15=0 D. x2+2x-15=0 E. x2-2x-15=0

2. A quadratic equation with solution set {1/3,1/4} is
   A.12x2=7x+1 B.12x2=7x-1 C.12x2=x+1 D.12x2=x-1 E.12x2=1-x

3. The solution set of the system of equation x-y=3, x2-y2=21 is
   A.{(2,5)} B.{(5,2)} C. {5,2} D.{(2,5),(5,2)} E. None of these
   14.The solution set of the system of equation x-y=0,x2+y2=8 is
   A.{(2,-2),(-2,2)} B.{(-2,2),(2,-2)} C.{(2,2),(-2,-2)} D.{(2,5),(5,2)} E. None of these

4. The root of standard quadratic equation is real if

   1. b2-4ac<0 2. b2-4ac=0 3. b2-4ac>0
      A. 1 only B. 2 only C. 3 only D. 1 and 2 only E.2 and 3 only

5. p2+q2=…………
   A.(p+q)2 B.(p-q)(p-q) C.(p-q)2+2pq D.(p-q)2-2pq E. None of these
   17.If a2+2ka +16 is a perfect square , then k=…..
   A.-2 B.2 C. -4 D. 8 E. 16

6. If x2+2x-24 =(x-a)(x-b), when a>b , then
   A. a=4,b=-6 B. a=6, b=-4 C. a=6 ,b=4 D. a=6, b=-6 E. a=-4, b=-6

7. The solution set the system of equation x2-8x+y=0, y=2x is
   A. {(0,0),(12,6)} B. {(0,0),(6,12)} C. {0,12} D.{0,6} E.{(0,12),(0,6)}

8. The equation p2+6p-2=0 can be written as
   A. (p-3)2=11 B. (p+3)2=11 C. (p+3)2=7 D.(p-3)2=7 E. None of these

9. The solution set of the equation (x+1)(x-7)=-12 is
   A.{-1,7} B. {1,5} C. {-1,-5} D. {1,-7} E.{1,-5}

10. From a quadratic in x whose roots are 4+√5 and 4- √5.
    A. x2+5x+6=0 B.x2+8x+11=0 C. x2-5x+6=0 D. x2-8x+11=0 E. x2-4x+5=0
    23.If α and β are roots of the equation of ax2+bx+c=0 , then α2 + β2=…………
    A.b2-4ac B.(b^2-2ac)/a2 C.ab2-2ac D. (ab^2-2ac)/a2 E.(-b+b^2-4ac)/2a
    24.In one of the root of the equation x2+αx-14=0 is 2, then α=……….
    A.7 B. 5 C. -5 D. 3 E. -7

11. If 3x2+lx-5=(mx-1)(2-x)-3, then