Question

Assertion: Area of the triangle whose
vertices are $A(\frac{-3}{2},3),B(6,-2)$ and $C(-3,4)$ is 0
Reason : The points A, B and C are collinear

• A. Both assertion and reason are true and reason is the correct explanation of assertion
• B. Both assertion and reason are true but reason is not the correct explanation of assertion.
• C. Assertion is true but reason is false.
• D. Assertion is false but reason is true.

Answer 1

The correct option is A

Both assertion and reason are true and reason is the correct explanation of assertion

$A(\frac{-3}{2},3),B(6,-2)andC(-3,4)$
area of $\Delta ABC=\frac{1}{2}\left|\frac{-3}{2}\right(-2-4)+6(4-3)-3(3+2\left)\right|$
$=\frac{1}{2}|9+6-15|=0$
If area of $\Delta ABC=0$ then points are collinear
Assertion: True; Reason: True and is the correct explanation of assertion