LET ABCD be a quadrilateral with area 18 ,with side AB parallel to the side CD and AB=2CD .Let AD be perpendicular to AB and CD .If a circle is drawn inside the quadrilateral ABCD touching all the side ,then it's radius is A 3 B 2 C 3/2 D 1?
Ref: https://edurev.in/question/547474/LET-ABCD-be-a-quadrilateral-with-area-18-with-side-AB-parallel-to-the-side-CD-and-AB2CD-Let-AD-be-
Let CD=x then AB=2CD=2x.Let r be the radius of the circle inscribed in the quadrilateral ABCD.
Given: Area of quadrilateral ABCD=18 and ABis|| to CD.
⇒ 1/2(x+2x).2r=18
⇒ 3xr=18
⇒ xr=6-----(1)
OP=OM=PD=OQ=AM=r
⇒ PC=x−randMB=2x−r
Let ∠PCO=angleOCQ=θ then from right-angled ΔOPC
From (1) & (4) we get,
xr=6
3rr^2=6
r^2=4
r=2
Hence (b) is the correct answer.
FAQs on MCQ: Trigonometry, MAthematics JEE
| 1. What is Trigonometry? |  |
Ans. Trigonometry is a branch of mathematics that deals with the relationships between the angles and sides of triangles. It involves the study of trigonometric functions such as sine, cosine, and tangent, and their applications in various fields such as physics, engineering, and astronomy.
| 2. What are the basic trigonometric functions? | |
Ans. The basic trigonometric functions are sine, cosine, and tangent. Sine (sin) of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Cosine (cos) of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. Tangent (tan) of an angle is defined as the ratio of the length of the side opposite the angle to the length of the adjacent side.
| 3. How are trigonometric functions used in real life? | |
Ans. Trigonometric functions have various real-life applications. For example, in physics, they are used to describe the motion of objects in simple harmonic motion or waves. In engineering, trigonometry is used to calculate forces, angles, and distances in structural design and construction. Trigonometry also plays a significant role in navigation, astronomy, and electrical engineering.
| 4. What are the trigonometric identities? | |
Ans. Trigonometric identities are equations that are true for all values of the variables involved. Some of the commonly used trigonometric identities include the Pythagorean identities (sin²θ + cos²θ = 1), the reciprocal identities (cosecθ = 1/sinθ, secθ = 1/cosθ, cotθ = 1/tanθ), and the quotient identities (tanθ = sinθ/cosθ, cotθ = cosθ/sinθ).
| 5. How can trigonometry be used to solve triangles? | |
Ans. Trigonometry can be used to solve triangles by applying the laws of sines and cosines. The law of sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. By using these laws and trigonometric functions, we can determine the lengths of the sides and the measures of the angles of a triangle.
Related Exams
About this Document
|
4.97/5 Rating |
|
Nov 25, 2024 Last updated |
Document Description: MCQ: Trigonometry, MAthematics JEE for JEE 2024 is part of JEE preparation. The notes and questions for MCQ: Trigonometry, MAthematics JEE have been prepared according to the JEE exam syllabus. Information about MCQ: Trigonometry, MAthematics JEE covers topics like and MCQ: Trigonometry, MAthematics JEE Example, for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for MCQ: Trigonometry, MAthematics JEE.
Introduction of MCQ: Trigonometry, MAthematics JEE in English is available as part of
our JEE preparation & MCQ: Trigonometry, MAthematics JEE in Hindi for JEE
courses. Download more important topics, notes, lectures and mock test series for JEE
Exam by signing up for free. JEE: MCQ: Trigonometry, MAthematics JEE
Description
Full syllabus notes, lecture & questions for MCQ: Trigonometry, MAthematics JEE - JEE | Plus excerises question with solution to help you revise complete syllabus | Best notes, free PDF download
Information about MCQ: Trigonometry, MAthematics JEE
In this doc you can find the meaning of MCQ: Trigonometry, MAthematics JEE defined & explained in the simplest way possible.
Besides explaining types of MCQ: Trigonometry, MAthematics JEE theory,
EduRev gives you an ample number of questions to practice MCQ: Trigonometry, MAthematics JEE tests, examples and also practice JEE tests.
Download as PDF
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Previous Year Questions with Solutions
,Objective type Questions
,shortcuts and tricks
,MAthematics JEE
,MCQs
,study material
,Viva Questions
,Important questions
,MCQ: Trigonometry
,practice quizzes
,Free
,video lectures
,Exam
,past year papers
,MAthematics JEE
,MCQ: Trigonometry
,Semester Notes
,MAthematics JEE
,mock tests for examination
,ppt
,Summary
,MCQ: Trigonometry
,Sample Paper
,Extra Questions
;
Additional Information about MCQ: Trigonometry, MAthematics JEE for JEE Preparation
MCQ: Trigonometry, MAthematics JEE Free PDF Download
The MCQ: Trigonometry, MAthematics JEE is an invaluable resource that delves deep into the core of the JEE exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the MCQ: Trigonometry, MAthematics JEE now and kickstart your journey towards success in the JEE exam.
Importance of MCQ: Trigonometry, MAthematics JEE
The importance of MCQ: Trigonometry, MAthematics JEE cannot be overstated, especially for JEE aspirants.
This document holds the key to success in the JEE exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
MCQ: Trigonometry, MAthematics JEE Notes
MCQ: Trigonometry, MAthematics JEE Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to MCQ: Trigonometry, MAthematics JEE.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, MCQ: Trigonometry, MAthematics JEE Notes on EduRev are your ultimate resource for success.
MCQ: Trigonometry, MAthematics JEE JEE Questions
The "MCQ: Trigonometry, MAthematics JEE JEE Questions" guide is a valuable resource for all aspiring students preparing for the
JEE exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study MCQ: Trigonometry, MAthematics JEE on the App
Students of JEE can study MCQ: Trigonometry, MAthematics JEE alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the MCQ: Trigonometry, MAthematics JEE,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of MCQ: Trigonometry, MAthematics JEE is prepared as per the latest JEE syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup