CDS || Quadratic_Equation_Quiz_2020

If p & q are distinct prime number and x²-px+q=0 has positive real roots then find value of p & q?

If the roots of the equation  are reciprocal to each other, then which one of the following is correct?

If in a quadratic equation of variable , the co-efficient of  is equal to the constant term of the function, then which of the following is/are true?

I. Roots are equal and opposite in sign

II. Roots are equal

III. Roots are reciprocal of each other

IV. 1 is one of the roots

If ax²−bx−c = 0; and a:b:c = 1:2:3, where a,b and c are all positive rational numbers, then which of the following is/are true?

I. Roots are real and rational

II. Roots are non-real

III. Roots are real and irrational

IV. Roots are of opposite sign