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Number of values of 'p' for which the eq...

Number of values of 'p' for which the equation `(p^2-3p+2)x^2-(p^2-5p+4)x+p-p^2=0`, possess more than two roots, is : (A) 0 (B) 1 (C) 2 (D) none

A

0

B

1

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • Find the value of p for which one root of the equation x^2-(p+1)x+p^3+p^2+p-8=0 is more than 2 and anotherroot is less than 2.

    A
    [2,3]
    B
    `(-11/3,3)`
    C
    `(-11/3,-2)`
    D
    `-2ltplt3`

  • For what value of p, the equation (p-1)(2p+1)xx^2+(p^2-1)xx+(p-1)(p-3)=0 is an identity (or hs more than two solutions)?

    A
    `-1`
    B
    `-1//2`
    C
    1
    D
    `1//3`

  • Find the value of p for which the quadratic equation x^(2)+p(4x+p-1)+2=0 has equal roots :

    A
    `-1, (2)/(3)`
    B
    3, 5
    C
    `1, -(4)/(3)`
    D
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