Question

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. Statement -1 is true, Statement -2 is true, Statement -2 is a correct explanation for Statement-1
B. Statement -1 is true, Statement -2 is true, Statement -2 is not a correct explanation for Statement -1
C. Statement -1 is true, Statement -2 is false
D. Statement -1 is false, Statement -2 is true

Answer 1

Correct Answer - 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.