Question icon
Grade 12Algebra

2053_88904_IMG_20140328_121046.jpg

Profile image of ashu Joshi
12 Years agoGrade 12
Answers icon

3 Answers

Profile image of bharat bajaj
12 Years ago
Discriminant = b^2 - 4ac
As a>0 , b<0 and c<0
D > 0 , Hence we have two roots. So it could be A or B.
Now, the product of the roots = c/a
Product is negative. Hence, one root is positive and one is negative. Hence, the answer is (B)
Thanks
Bharat Bajaj
IIT Delhi
askiitians faculty
Profile image of Sher Mohammad
12 Years ago
x^2-2px+8p-15
let roots are a, b
case 1: one root is between (0,1) and another root is greater than 2

ab=8p-15 >=0 imply p>15/8

a+b=2p >2 imply p>1

p belongs (1,inf)

case 2: one root is less than <0 and another root is greater than 2

ab=8p-15<0 imply p<15/8
a+b=2p <2 imply <1
(-inf, 15/8)

hence d is the correct answer


sher mohammad
b.tech, iit delhi


Profile image of mycroft holmes
12 Years ago
Since a>0, the graph is upward facing. Also f(0) <0. Hence (B) is correct