wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the area of the pentagon formed by the vertices A(1,3),B(−2,5),C(−3,−1),D(0,−2) and E=(2,t) is 452sq. units, then possible value(s) of t is/are

A
1
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
99
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
89
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 89
Given vertices of the pentagon are A(1,3),B(2,5),C(3,1),D(0,2) and E=(2,t)
We know that the area of pentagon ABCDE
452=12x1x2x3x4x5x1y1y2y3y4y5y1452=121230213512t3452=12|(5+6)+(2+15)+(6+0)+(0+4)+(6t)|45=|44t|44t=±45t=44±45t=1,89

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon