10th Class Mathematics Test Unit 2- Theory of Quadratic Equation

Unit 2 – Theory of Quadratic Equation

Quiz

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1. If the discriminant (D=b2−4acD = b^2 - 4acD=b2−4ac) of a quadratic equation is zero, the roots are:
   1.   Real and distinct
   2.   Real and equal
   3.   Complex
   4.   Non-existent
2. For ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0, if D>0D > 0D>0, what can be said about the roots?
   1.   Real and distinct
   2.   Real and equal
   3.   Complex
   4.   Imaginary
3. 3. If the discriminant (DDD) is negative, the roots are:
   1.   Real and equal
   2.   Real and equal
   3.   Imaginary
   4.   Zero
4. The axis of symmetry of the parabola represented by y=ax2+bx+cy = ax^2 + bx + cy=ax2+bx+c is given by:
   1.   x=−b/2ax = -b/2ax=−b/2a
   2.   x=b/2ax = b/2ax=b/2a
   3.   x=−2a/bx = -2a/bx=−2a/b
   4.   x=b/2cx = b/2cx=b/2c
5. The vertex of the parabola y=ax2+bx+cy = ax^2 + bx + cy=ax2+bx+c is:
   1.   (−b/2a,c)(-b/2a, c)(−b/2a,c)
   2.   (−b/2a,f(−b/2a))(-b/2a, f(-b/2a))(−b/2a,f(−b/2a))
   3.   (−c/2a,b)(-c/2a, b)(−c/2a,b)
   4.   (−a/2b,c)(-a/2b, c)(−a/2b,c)
6. The sum of the roots of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0 is:
   1.   −b/a-b/a−b/a
   2.   b/ab/ab/a
   3.   −c/a-c/a−c/a
   4.   c/ac/ac/a
7. 7. The product of the roots of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0 is:
   1.   c/ac/ac/a
   2.   −b/a-b/a−b/a
   3.   −c/a-c/a−c/a
   4.   b/cb/cb/c
8. For what value of kkk, will x2+kx+1=0x^2 + kx + 1 = 0x2+kx+1=0 have equal roots?
   1.   2
   2.   -2
   3.   4
   4.   -4
9. The roots of x2+px+q=0x^2 + px + q = 0x2+px+q=0 are reciprocal if:
   1.   p=0p = 0p=0
   2.   q=1q = 1q=1
   3.   q=−1q = -1q=−1
   4.   p=qp = qp=q
10. The condition for the roots of ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0 to be rational is:
    1.   D=0D = 0D=0
    2.   D>0D > 0D>0 and DDD is a perfect square
    3.   D<0D < 0D<0
    4.   D>0D > 0D>0