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
Full Syllabus JEE MAINS (MCQ) practice question paper DOWNLOAD
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Formula of Circle
|All points on the circumference of a circle
are equidistant from its center.
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.
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
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 .
h = r – d
= 2 sqrt[h(2r-h)]
d = sqrt(4r2-c2)/2 = r cos(theta/2) = c cot(theta/2)/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)
Arc length: s
theta = s/r
K = rs/2
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