First slide

Equation of line in Straight lines

Question

The area of the triangle formed by the lines $y = ax,$ $x + y - a = 0,$ and the y-axis is equal to

Moderate

A

$\frac{1}{2 |1 + a|}$
B

$\frac{a^{2}}{|1 + a|}$
C

$\frac{1}{2} |\frac{a}{1 + a}|$
D

$\frac{a^{2}}{2 |1 + a|}$

Solution

$B \equiv (0, a), A_{1} \equiv (\frac{a}{1 + a}, \frac{a^{2}}{1 + a})$
$Δ_{{OA}_{1} B} = \frac{1}{2} (OB) A_{1} M$
$= \frac{1}{2} |a| |\frac{a}{1 + a}| = \frac{1}{2} \frac{a^{2}}{|1 + a|}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App