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Question : In $\triangle$ABC, the straight line parallel to the side BC meets AB and AC at the points P and Q, respectively. If AP = QC, the length of AB is 16 cm and the length of AQ is 4 cm, then the length (in cm) of CQ is:

Option 1: $(2 \sqrt{21}+2)$

Option 2: $(2 \sqrt{18}-2)$

Option 3: $(2 \sqrt{17}-2)$

Option 4: $(2 \sqrt{19}+2)$

Team Careers360 16th Jan, 2024

Correct Answer: $(2 \sqrt{17}-2)$


Solution :
In $ \triangle  $APQ and $ \triangle  $ABC,
$ \angle  $P = $ \angle  $B (corresponding angle)
$ \angle  $Q = $ \angle  $C (corresponding angle)
$ \triangle  $APQ $\sim$ $ \triangle  $ABC, by AA similarity.
Given that AP = QC, AB = 16 cm, and AQ = 4 cm.
Let the length of QC be $y$ cm.
We can use the property of similar triangles to set up the following proportion,
$⇒\frac{AP}{AB} = \frac{AQ}{AC}$
$⇒\frac{AB}{AP}= \frac{AC}{AQ}$
$⇒\frac{AB}{AP}-1= \frac{AC}{AQ}-1$
$⇒\frac{AB}{AP}-1= \frac{AC-AQ}{AQ}$
$⇒\frac{AB}{AP}-1= \frac{QC}{AQ}$
$⇒\frac{12}{QC}-1= \frac{QC}{4}$
$⇒\frac{12}{y}-1= \frac{y}{4}$
$⇒y^2+4y-64=0$
$⇒y=\frac{-4 \pm\sqrt{4^2-4 \times 1\times (-64)}}{2\times 1}$
$⇒y=\frac{-4 \pm\sqrt{272}}{2}$
$⇒y=\frac{-4 \pm 4\sqrt{17}}{2}$
$⇒y=(2 \sqrt{17}-2)$
Hence, the correct answer is $(2 \sqrt{17}-2)$.

27 Views

Colleges offering Btech with Artificial Integeligence and Data science in Kerala?

Tanya Gupta 13th Jan, 2024

Hello,


Below are some top colleges which offer B.tech in artificial intelligence and data science in Kerala


1) ACE Palakkad - Rajadhani Institute of Science and Technology, Palakkad


2) ASIET Kalady


3) IIIT Kottayam


4) MBCCET Kuttikkanam


5) MBCET, Thiruvananthapuram


6) MITS Ernakulam


7) TKM Kollam


8) UCE Thodupuzha


9) Amrita School of Engineering, Amritapuri


10) IES College of Engineering, Thrissur



I hope this helps,

Thank you

15 Views

can you please suggest me the best colleges in tamil nadu which provide b.tech artifical intelligence and data science course other than iit

Tanya Gupta 9th Jan, 2024

Hello,


Below are few colleges in Tamil Nadu that offer B.Tech programs in Artificial Intelligence and Data Science:


1) PSG College of Technology, Coimbatore

2) SRM Institute of Science and Technology, Chennai

3) Vellore Institute of Technology (VIT), Vellore

4) Amrita School of Engineering, Coimbatore

5) SASTRA Deemed University, Thanjavur

6) Karunya Institute of Technology, Coimbatore

7) Chennai Institute of Technology


These are some top colleges which offer great facilities, opportunities and placements


I hope this helps,


Thank you

7 Views

I am currently pursuing btech(cyber security specialization) will i be eligible for mtech(with data science) during pg?

Tanya Gupta 19th Jan, 2024

Hello,


The eligibility criteria for MTech is that the candidates should hold a Bachelor of Engineering or Bachelor of Technology degree from a recognized university with a minimum aggregate of 60%.

There is no specific eligibility criteria of any specialization. All you need is a bachelor's of engineering or Bachelor's of Technology degree and you can select whatever specialization you want to in both the degrees.

Hope this helps,

Thank you

19 Views

Is maths and science in class 12th compulsory for doing BSC in data science ?

Tanya Gupta 13th Jan, 2024

Hello,


BSc in Data Science is a bachelor's degree program that focuses on analyzing and interpreting data using computer science and statistical techniques. In order to be eligible for BSC in Data Science, the students must have passed the Science stream in Class 12 with Mathematics, Physics, and Chemistry as the compulsory subjects.


I hope this helps,

Thank you

149 Views

which is better bca in data science or bba in data science

Tanya Gupta 3rd Jan, 2024

Hello,

The BCA data science is an excellent option for students interested in learning about topics such as Database Management Systems, Statistics and Probability


According to my experience, BCA in data science is  much better than bba in data science As Bca is a computer related course And it will be a better if one do BCA with data signs as it will be more specialised than B. B. A in data science.

Hope this helps you,

Thank you

10 Views

I have enrolled for Data Science and engineering course in Great learning and I have not got any interview call through Great learning. They have assured to provide at least 10 interviews.

Tanya Gupta 20th Jan, 2024

Hello,

It is important to reach out to their support team and share your concern with them. They should be able to provide you with an update on the status of your interview calls and address any issues you may be facing. Remember to keep track of your communication with them and follow up if necessary. Hopefully, they will fulfill their assurance of providing at least 10 interviews.

Hope this helps you,

Thank you

36 Views

I need information about Bachelors in data science of SP Jain college

Tanya Gupta 20th Jan, 2024

Hello,

Bachelors in Data Science in SP Jain College is a great choice. It is  a specialized program that focuses on data analysis, machine learning, and programming. The curriculum is designed to provide you with the necessary skills and knowledge to excel in the field of data science. You will definitely learn about data visualization, statistical analysis, and big data technologies. It is a promising field with plenty of opportunities. If you are interested, you can visit the SP Jain College website for more details on the program and admission requirements.

Hope this helps you,

Thank you

https://dqxeclau.top/colleges/spjimr-mumbai


11 Views

IIT RoorkeePost Graduate Certificate Programme in Data Science and Machine Learning08 Do we have the previous batch details for this course. This is to understand the category of people benefitted from it.

Tanya Gupta 28th Jan, 2024

Hello,

Yes, we do have information on the previous batch of the Post Graduate Certificate Programme in Data Science and Machine Learning at IIT Roorkee. The program is designed to benefit individuals from various backgrounds who are interested in enhancing their knowledge and skills in data science and machine learning. The previous batch consisted of participants from diverse fields such as engineering, computer science, mathematics, and business. It's a great opportunity to learn from experienced faculty and industry experts.

Hope this helps you,

Thank you

https://dqxeclau.top/university/indian-institute-of-technology-roorkee

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