Question

bharat bajaj · Answer

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

Sher Mohammad · Answer

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

mycroft holmes · Answer

Since a>0, the graph is upward facing. Also f(0) <0. Hence (B) is correct

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