MathematicsTwo lines are drawn through 3,4 each of which makes angle of 45∘ with the line x−y=2. Then area of the triangle formed by these lines is

Two lines are drawn through $(3, 4)$ each of which makes angle of $45^{\circ}$ with the line $x - y = 2$ . Then area of the triangle formed by these lines is

The equation of lines are $y - y_{1} = \frac{m \pm t a n α}{1 \mp m t a n α} (x - x_{1})$

$\Rightarrow y - 4 = \frac{1 \pm t a n 45^{\circ}}{1 \mp t a n 45^{\circ}} (x - x_{1})$

$\Rightarrow y - 4 = \frac{1 \pm 1}{1 \mp 1} (x - 3)$

$\Rightarrow y = 4 or x = 3$

Related content

Area of Square

Pythagoras Theorem

Triangle Formulae

Area Formulae

Volume of Cone Formula