JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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Application +4 | -1

In a triangle

\mathrm{ABC}, \angle \mathrm{C}=\frac{\pi}{2}

. If

\tan \left(\frac{\mathrm{A}}{2}\right)

and

\tan \left(\frac{\mathrm{B}}{2}\right)

are the roots of the equation

a x^2+b x+c=0(a \neq 0)

then 

View answer and explanation

Correct option: A

\mathrm{a}+\mathrm{b}=\mathrm{c}

Option A (a+b=c) is correct because by using the given condition ∠ C =

\frac{π}{2}

and the properties of tangent function, we can derive the relationship a+b=c.

More Questions from QUADRATIC EQUATIONS

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