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JEE Mains Mathematics Circles and Family of Circles MCQ Questions Paper 2019

JEE Mains

JEE Mains, Complex Number, Circle, Ellipse, Parabola Hyperbola, quadratic equation,

Mathematics Circle and Family of Circles Practice Sample Question Paper & Problems on JEE Mains MCQ Level Pdf format

CIRCLE (Topic and Subtopic)  

(1) Equation of circles in different forms, (2) Tangent and Normal to the circle, (3) Length of intercepts and length of the tangent, (4) Position of point with respect to circle, (5) Equations of chords of a circles, (6) Director and Pole and polar of a circle, (7) Non-intersecting, intersecting, touching circles, (8) Coaxial system of circles, (9) Radical axis, (10) Orthogonal system

Download Maths Circle and Family of Circles Sample Papers on JEE Mains MCQ Level with Solution

(a)  JEE Mains CIRCLE Practice Problem Paper -01 Download here

       JEE Mains CIRCLE Solution Download here

(b)  JEE Main CIRCLE Practice Problem Paper -02 Download here

       JEE Main CIRCLE Solution-02 Download here

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Full Syllabus Sample Paper 01 (MAINS-MCQ Pattern) Download here

Full Syllabus Sample Paper 02 (MAINS-MCQ Pattern) Download here

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Full Syllabus Sample Paper-02 SOLUTION Download here

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Formula of Circle

All points on the circumference of a circle

are equidistant from its center.

Radius: r

Diameter: d

Circumference: C

Area: K

d = 2r

C = 2 Pi r = Pi d 

K = Pi r2 = Pi d2/4

C = 2 sqrt(Pi K) 

K = C2/4 Pi = Cr/2

Arc of a Circles

A curved portion of a circle.

Length: s 

Central angle:      

  theta (in radians),

  alpha (in degrees)  

s = r theta = r alpha Pi/180


Segment of a Circles

Either of the two regions into which a secant or a chord cuts a circle. (However, the formulas below assume that the segment is no larger than a semi-circle.)

Chord length: c                

Height: h

Distance from center of circle to chord’s midpoint: d

Central angle: theta (in radians), alpha (in degrees) 
Area: K                          

Arc length: s

theta = 2 arccos(d/r) = 2 arctan(c/(2d)) = 2 .    


h = r – d
c = 2 sqrt(r2-d2) = 2r sin(theta/2) = 2d tan(theta/2)

   = 2 sqrt[h(2r-h)]

d = sqrt(4r2-c2)/2 = r cos(theta/2) = c cot(theta/2)/2
K = r2[theta-sin(theta)]/2 = r2arccos([r-h]/r) – (r-h)sqrt(2rh-h2) = r2arccos(d/r) – d sqrt(r2-d2)
theta = s/r
K = r2[s/r – sin(s/r)]/2

Sector of a Circle
 The pie-shaped piece of a circle ‘cut out’ by two radii.Central angle:

     theta (in radians),

     alpha (in degrees)

Area: K

Arc length: s
     K = r2theta/2 = r2alpha Pi/360

     theta = s/r

     K = rs/2


Last (past) year papers which are helpful to good score…

Absolutely yes, solving the last 3 to 8 years Q. papers are not only makes the students you stronger, but this also gives a confidence of questions which are coming in our JEE mains & Advanced exams. So try these papers as a BRAHMASTRA for your preparation of your JEE Advanced exams, because these given Question Papers will be helpful for getting full marks in JEE Advanced examination.

Past 10 year Q. Paper of 2006, 7, 8….. 16 and also available in the attached sheet for candidates and teachers. Last years Q. paper for Mains and Advanced Mathematics, Physics and Chemistry are a smart way to revise for main & advanced exams. Specially are helpful for those appearing for Advanced exam as they familiarize students with the patterns of the Solved Q.paper and the method of marking.

JEE Advanced Q. Papers are top revision tools and must be made an important part of exam preparation. Chemistry are issued by JEE Main/Advanced 2016-17. Chemistry Advanced syllabus 2015-16 was Chemical Bonding, Ionic Equilibrium, s-Block Elements, Solid State, p-Block elements, Surface Chemistry etc…… important question bank for JEE. How to score 90+ per-cent  on JEE Advanced examination practice the last 10 years question paper this Board for sure will prove to be the special tool in getting a high score end success in CBSE class XIIth Examinations,

What are significant topics in maths for the JEE Mains and Importance of Maths Matrices and Determinants Chapter?

If you are talking about jee mains and advanced, so each and every topic are important. So Cover all the topic of NCERT Mathematics Class 10, 11, 12 glowing. You should have to have six to seven years question paper of jee mains and advanced both students so that you will get to know about the question level and paper pattern. 

Even maths is very important in our life, because its used to complete many different tasks daily, for examples in the bank, hospital, shops, pharmacists engineers, nurse, stock market, investment, IQ development,  use maths every days to perform their expert duty well. Maths makes our life orderly. Everyone require maths

Maximum students doing not well in mathematics subject Board / Entrance Exam. Maximum chapters are numerical based theoretical based, and few IQ based thats why doing not well. For example limit chapter, After differential chapter reading, we want do all examples of differential chapter and NCERT, illustrations,

Importance of Last year and Full Syllabus JEE Mains papers, which are helpful to top scores…

Mostly student are doing not well in jee mains entrance exams reason is that maximum students finding good coaching institute top teachers and they are waist his 3 to 5 months they are not consentration in study and after that jee mains students doing only full syllabus completion they are dependent only coaching institute, iit coaching institute, if we can complete our syllabus time to time and after that we can complete jee mains previous 5 to 8 years question papers with verify all solutions.

Updated: December 11, 2018 — 11:00 am
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