Mathematics : Circle and Family of Circles Practice Question Paper of Circle on JEE Advanced Pattern (20182019)
CIRCLE (Topic and Subtopic)
(1) Equation of circles in different forms, (2) Tangent to the circle, (3) Normal to the circle, (4) Length of intercepts and length of the tangent, (5) Position of point with respect to circle, (6) Equations of chords of a circles, (7) Director circle of circles, (8) Pole and polar of a circle, (9) Nonintersecting, intersecting, touching circles, (10) Coaxial system of circles, (11) Radical axis, (12) Orthogonal system
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(a) JEE Advanced CIRCLE Practice (Problem) Paper –01 Download here
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Circle formulas  
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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IIT Advanced 201617 Syllabus
IITJEE Advanced syllabus has largely remained unchanged for the last 16 years! It is the same as the syllabus for IIT IITJEE in the previous years. This is the reason, we bring you 16 years of IIT IITJEE and IITJEE Advanced past year question Papers, as they cover same topics as specified in the IIT. IITJEE syllabus 2016. Ezyexams experts suggest that IITJEE Adv. 2016 Syllabus for Chem, Phy, Maths should have been the starting point of your IITJEE preparation. Even if you have not paid enough attention to it until now, pick up the IIT syllabus, now and check whether you have covered all the topics well or not.
JEE Advanced 2016 Complete Syllabus
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