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Statement -1 If the equation (4p-3)x^(2)...

Statement -1 If the equation `(4p-3)x^(2)+(4q-3)x+r=0` is satisfied by `x=a,x=b` nad `x=c` (where a,b,c are distinct) then `p=q=3/4` and `r=0`
Statement -2 If the quadratic equation `ax^(2)+bx+c=0` has three distinct roots, then a, b and c are must be zero.

A

(A) Statement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement-1

B

(B) Statement -1 is true, Statement -2 is true, Statement -2 is not a correct explanation for Statement -1

C

(C) Statement -1 is true, Statement -2 is false

D

(D) Statement -1 is false, Statement -2 is true

Text Solution

Verified by Experts

The correct Answer is:
D
If quadratic equation `ax^(2)+bx+c=0` is satisfied by more than two values of `x` then it must be an identity.
Therefore `a=b=c=0`
`:.` Statement -2 is true.
But in Statement -1
`4p-3=4q-3=r=0`
Then `p=q=3/4,r=0`
which is false
Since at one valueof `p` or `q` or `r` al coefficients at a time `!=0`
`:.` Statement -1 is false.
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