Question

If triangle ABC is a right angled at A and \( \tan \frac{\text{B}}{2}, \tan \frac{\text{C}}{2} \) are roots of the equation \( a x^2 + bx + c = 0, \text{a} \ne 0 \), then

• A. \( \text{a} + c = b \)
• B. \( \text{a} + b = c \)
• C. \( b + c = \text{a} \)
• D. \( a + c = 2b \)

Hint:

If \( \alpha + \beta = 45^\circ \), then \( (1+\tan \alpha)(1+\tan \beta) = 2 \).

Answer 1

The Correct Option is B