G1A Cet

. 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)}

1. 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

2. 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}

3. 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.b2-2aca2 C.ab2-2ac D. ab2-2aca2 E.-b+b2-4ac2a
   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

4. If 3x2+lx-5=(mx-1)(2-x)-3, then
   A. l=3,m=5 B. l=-5,m=-3 C. l=-5,m=3 D. l=5,m=-3 E.l=5,m=3

5. The solution set of {(x,y)|y=x2} {(x,y)|y=x+2} is
   A. {(-1,1),(2,4)} B.{(-1,0),(2,0)} C.{(1,-1),(4,2)} D.{(0,-1),(0,2)} E. None of these

6. If a2+b2=4 and (a-b)2=2, what is the value of ab?
   A. 1 B.2 C. 2 D. 3 E.4
   28.If x2-2x-15=(x+r)(r+s) for all value of x, one possible value for r-s is
   A.8 B. 2 C.-2 D. -3 E. -5

7. If ax2-bx-c=0, then x=………..
   A. -b±b2+4ac2a B. -b±b2-4ac2a C. b±b2-4ac2a D.b±b2+4ac2a E. None of these

8. The parabola y=x2-x-12 cuts the X-axis at A and B. The distance between A and B is
   A. 1 B. -1 C. 7 D. -7 E.12