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) Nonintersecting, 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 Solution02 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 r^{2} = Pi d^{2}/4 C = 2 sqrt(Pi K) K = C^{2}/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 semicircle.)
Chord length: c Height: h Distance from center of circle to chord’s midpoint: d Central angle: theta (in radians), alpha (in degrees) Arc length: s theta = 2 arccos(d/r) = 2 arctan(c/(2d)) = 2 . arcsin(c/(2r)) h = r – d = 2 sqrt[h(2rh)] d = sqrt(4r^{2}c^{2})/2 = r cos(theta/2) = c cot(theta/2)/2 

Sector of a Circle 

The pieshaped piece of a circle ‘cut out’ by two radii.Central angle:
theta (in radians), alpha (in degrees) Area: K Arc length: s theta = s/r K = rs/2 
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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.
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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.
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