Home
Class 12
MATHS
If pa n dq are chosen randomly from the ...

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.

A

0.38

B

0.03

C

0.59

D

0.89

Text Solution

Verified by Experts

The correct Answer is:
(c)
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Integer Answer Type Questions)|10 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Probability Exercise 5: Match Type Questions|5 Videos

  • PROBABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

Similar Questions

Explore conceptually related problems

Real roots of equation x^2 + 5 |x| + 4 = 0 are

Two numbers a and b are chosen at random from the set {1,2,3,4, . . .,0} with replacement. The probability that the equation x^(2)+sqrt(2)(a-b)x+b=0 has

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

For a<0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

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

If p ,q are real p!=q , then show that the roots of the equation (p-q)x^2+5(p+q)x-2(p-q)=0 are real and unequal.

For a alt=0, determine all real roots of the equation x^2-2a|x-a|-3a^2=0.

If p , qr are real and p!=q , then show that the roots of the equation (p-q)x^2+5(p+q)x-2(p-q=0 are real and unequal.

If an integer p is chosen at random in the interval 0le ple5, then the probality that the roots of the equation x^(2)+px+(p)/(4)+(1)/(2)=0 are real is -

Two integers xa n dy are chosen with replacement out of the set {0,1,,2,3 ,10}dot Then find the probability that |x-y|> 5.

Home
Profile