Question

1
9. If the HCF of (p2 - p - 6) and (p2 + 3p -18)
is (p - a). The value of a is
(a) 2
(b) 3
(c) 4
(d) 5

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Answer 1

Answer:

p

Step-by-step explanation:

(4p−p

2

−5)x

2

−(2p−1)x+3p=0=f(x)

Roots lie on either side of unity.

∴f(1)>0 as (4p−p

2

−5<0)

⟹(4p−p

2

−5)1

2

−(2p−1)1+3p>0

⟹−p

2

+5p−4>0

⟹p

2

−5p+4<0

⟹(p−4)(p−1)<0

⟹p∈(1,4)

∴p=2,3

So two integral values of p.

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