wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If a be chosen at random in the interval [0,5], show that the probability that the equation 4x2+4ax+(a+2)=0 to have real roots is 35

Open in App
Solution

Equation 4x2+4ax+(a+2)=0 to have real roots,if its discriminant D0
16a216(a+2)0
a2a20
a22a+a20
a(a2)+1(a2)0
(a2)(a+1)0
a>2ora<1
But in the interval [0,5],a>2a[2,5]
probability=lengthofinterval[2,5]lengthofinterval[0,5]=5250=35

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon