A,B,C are respectively the points (1, 2), (4, 2), (4, 5). If T1 , T2 are the points if Trisection if the line segment AC and S1 , S2 are the points if trisection of the Line segment BC, the area of the quadrilateral T1 S1 S2 T2 is ‘K’ sq units then K = ___

T1=93,43;T2=68,93S1=123,123;S2=123,93∴ area of quadrilateral T1S1S2T2=12x1 x2 x3 x4 x1y1y2 y3 y4 y1=32Sq.

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A,B,C are respectively the points (1, 2), (4, 2), (4, 5). If T₁ , T₂ are the points if Trisection if the line segment AC and S₁ , S₂ are the points if trisection of the Line segment BC, the area of the quadrilateral T₁ S₁ S₂ T₂ is ‘K’ sq units then K = ___

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

answer is 2.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

$T_{1} = [\frac{9}{3}, \frac{4}{3}]; T_{2} = [\frac{6}{8}, \frac{9}{3}]$

$S_{1} = [\frac{12}{3}, \frac{12}{3}]; S_{2} = [\frac{12}{3}, \frac{9}{3}]$

$∴ area of quadrilateral T_{1} S_{1} S_{2} T_{2}$

$= \frac{1}{2} |\begin{array}{lllll} x_{1} x_{2} x_{3} x_{4} x_{1} \\ y_{1} y_{2} y_{3} y_{4} y_{1} \end{array}| = \frac{3}{2} S q .$

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!