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

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

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## Formula of Circle

All points on the circumference of a circle

are equidistant from its center.

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:

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 .

arcsin(c/(2r))

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:

alpha (in degrees)

Area: K

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

theta = s/r

K = rs/2

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#### 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.

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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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