Home
Class 11
MATHS
If a and b are chosen randomly from the ...

If a and b are chosen randomly from the set {1,2,3,4} with replacement, then the probability of the real roots of the equation `x^2+ax+b=0` is

A

`(3)/(16)`

B

`(5)/(16)`

C

`(7)/(16)`

D

`(11)/(16)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER-20 (MOCK TEST PAPER)

    FULL MARKS|Exercise PART-II|10 Videos
  • SAMPLE PAPER-20 (MOCK TEST PAPER)

    FULL MARKS|Exercise PART-III|9 Videos
  • SAMPLE PAPER-07 (UNSOLVED)

    FULL MARKS|Exercise PART-IV|7 Videos
  • SAMPLE PAPER-6 (UNSOLVED)

    FULL MARKS|Exercise PART-IV|6 Videos

Similar Questions

Explore conceptually related problems

If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} with replacement, determine the probability that the roots of the equation x^2+p x+q=0 are real.

The number of real roots of the equation |x|^(2)-3|x|+2=0 is

If a and b are chosen randomly from the set consisting of number 1, 2, 3, 4, 5, 6 with replacement. Then the probability that lim_(x to 0)[(a^(x)+b^(x))//2]^(2//x)=6 is

Two numbers are selected randomly from the set S={1,2,3,4,5,6} without replacement one by one. The probability that minimum of the two numbers is less than 4 is (a) 1/15 (b) 14/15 (c) 1/5 (d) 4/5

The number of real root of the equation e^(x-1)+x-2=0 , is

The real roots of the quadratic equation x^(2)-x-1=0 are ___.

If a and b are randomly chosen from the set {1,2,3,4,5,6,7,8,9} , then the probability that the expression ax^(4)+bx^(3)+(a+1)x^(2)+bx+1 has positive values for all real values of x is