Question
Question: If the roots of the equation \(b^{2} - a^{2}(m^{2} + 1) = 0\) are \(P(x) = ax^{2} + bx + c\) and the...
If the roots of the equation b2−a2(m2+1)=0 are P(x)=ax2+bx+c and the roots of the equation Q(x)=−ax2+dx+c are ac=0 then P(x).Q(x)=0 is equal to.
A
–2
B
–1
C
1
D
2
Answer
1
Explanation
Solution
Given that 2bx2+cx+a=0and cx2+ax+2b=0be the roots of a,b, so cand α+α2
Again a+2b+cand 3x2+12x+6=5x+16are the roots of x+2>x+4,
so 2<x<6 ⇒ −2<x<6
⇒ log(−2x).