Let x, y and z be positive real | Maths | JEE ADVANCED 2020

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JEE Advanced 2020

Paper-1 2020

Multiple correct answers - Select all that apply

Question

Let x, y and z be positive real numbers. Suppose $x, y$ and $z$ are lengths of the sides of a triangle opposite to its angles $\mathrm{X}, \mathrm{Y}$ and Z , respectively. If
$ \tan \frac{X}{2}+\tan \frac{Z}{2}=\frac{2 y}{x+y+z}, $
then which of the following statements is/are TRUE?

Select ALL correct options:

A

2Y = X + Z

B

Y = X + Z

C

$\tan \frac{x}{2}=\frac{x}{y+z}$

D

$x^2+z^2-y^2=x z$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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