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Question : In $\Delta\mathrm{ ABC,AD}$ and $\mathrm{AE}$ are bisectors of $\angle \mathrm{BAC}$ and $\angle \mathrm{BAD}$ respectively. If $\angle \mathrm{BAE}=30^{\circ}, \mathrm{AE}=9\;\mathrm{cm}$ and $\mathrm{EC}=15\;\mathrm{cm}$, what is the area (in$\;\mathrm{cm^2}$ ) of $\Delta \mathrm{CAE}$?

Option 1: $36$

Option 2: $54$

Option 3: $72$

Option 4: $216$

Team Careers360 14th Jan, 2024

Correct Answer: $54$


Solution :
In $\Delta \mathrm{ABC}$,
Given that $\angle \mathrm{BAE} = 30^{\circ}$
⇒ $\angle \mathrm{DAE = \angle BAE} = 30^{\circ}$  ($\mathrm{AE}$ is the bisector of $\angle \mathrm{BAD}$)
Now, $\angle \mathrm{BAD = \angle BAE + \angle DAE}$
⇒ $\angle \mathrm{BAD} = 30^{\circ} + 30^{\circ}$
⇒ $\angle \mathrm{BAD} = 60^{\circ}$

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when relese the ntse gujarat state result 2022??

Subhrajit Mukherjee 10th Jan, 2022

The announcement of the Phase-I NTSE GUJRAT result is expected to be out on February 2022 by SCERT. The result will be released in the form of a Merit list.

The 2nd state of the NTSE is expected to be conducted on July 22, 2022 and the result for the

98 Views

i m getting 136 Marks in NTSE Gujarat stage 1 in general category i m qualify for NTSE stage 2?

Sharon Rose Student Expert 10th Aug, 2021

Hello,

Last year the cut off for general category candidate to qualify in NTSE Gujarat stage 1 was 175 marks. This year cut off is expected to be in between 175-180 marks. Considering the previous year cut off you do not have chances to qualify in stage 1 and appear

124 Views

When NTSE Gujarat stage 1 result declared

snehal ranjan 28th Jan, 2020

Gujarat has announced the provisional Gujarat NTSE stage 1 result on November 8, 2020. The provisional result is released in online mode along with the answer key. Students who appeared for the NTSE Gujarat can download their result from sebexam.org. Final NTSE Gujarat result 2020 will be published in the

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when and where will the result of ntse gujarat 2019-2020 (stage1) be released ?

SAKSHI KULSHRESHTHA 22nd Jan, 2020

Neeta, while the provisional result for NTSE stage 1 for Gujarat has already been released by SCERT Gujarat along with the answer key on 8 November, the final result is scheduled to be released in January 2020 on their official website: http://sebexam.org/

The final result will be in the form

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