# Doubt from quadratic equations

Is it D?

I have reached to the linear equation in 't' by simplifying the original equation. So, I found the roots of the initial equation only, but in terms of 't'. In the final step I just put the condition on the roots.

as t is parabola nd if u will rhs side is hyperbola type after more simplification how u can prove their will be one root in this interval

u have taken full interval of range their may be chance when it will cut graph at no point or may be in more point too..

If you don't get it, you can just put x(x+1) in place of 't'. then you'll get a quadratic in 'x' and then you can apply D>=0 to get interval of 'a'. Which will be enough to show atleast 1 real root.

See Question no. (10)

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thanks jagdish sir...

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