Let S={1,2,3,…,100}. Suppose b and c are chosen at random from the set S . The probability that 4x^2+bx+c has equal roots is

Question

MARKS Content Team · Accepted Answer

Correct answer: (A) 0.001. The quadratic equation 4x^2+bx+c=0 has equal roots if b^2-16c=0 ⇒ b^2=2^4c Now, C should be chosen from the set S={1,2,3,…,100}, such that it is a perfect square number, c=1,4,9,16,25,36,49,64,81,100,49,64,81,100$ ∴ number of ordered pair (b, c) will be 10 . So, required probability =10/(100×100) =1/1000=0.001

Let $S = {1, 2, 3, \dots, 100} .$ Suppose b and c are chosen at random from the set S . The probability that $4 x^{2} + b x + c$ has equal roots is

Solution

More Quadratic Equation Questions

Let S={1,2,3,…,100}. Suppose b and c are chosen at random from the set S . The probability that 4x2+bx+c has equal roots is

Solution

More Quadratic Equation Questions

Let $S = {1, 2, 3, \dots, 100} .$ Suppose b and c are chosen at random from the set S . The probability that $4 x^{2} + b x + c$ has equal roots is