The values of $t$, if the area of the pentagon $A B C D E$ is $\frac{45}{2} s q$ units, where $A=(1,3), B=(-2,5), C=(-3,-1), D(0,-2)$ and $E=(2, t)$ and here the points are given in order, are

JEE MATHEMATICS MCQ: 2D GEOMETRY SYSTEM

1 Medium

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Application +4 | -1

The values of

t

, if the area of the pentagon

A B C D E

\frac{45}{2} s q

units, where

A=(1,3), B=(-2,5), C=(-3,-1), D(0,-2)

and

E=(2, t)

and here the points are given in order, are

View answer and explanation

Correct option: A

-1,89

Option A (-1, 89) is correct because the area of the pentagon is calculated using the determinant formula and solving for t.