“Coordinate geometry is another name for analysing different geometrical shapes.”
Coordinate geometry is a highscoring chapter for students taking the IIT JEE Main 2022. The chapter’s concepts make it simple for students to achieve high grades in this chapter. The chapter covers a wide range of geometrical shapes and their formulas and derivatives. As a result, students adhere to a standard preparation schedule and quick and simple review notes.
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Point to Note
Coordinate Geometry is one of the most intriguing chapters in the JEE Main 2022 Syllabus – Get Physics, Chemistry & Maths Syllabus  AESL. The chapter holds maximum weightage, around 20 per cent in the JEE Main 2022 Maths JEE Main 2022 Maths Syllabus syllabus. It increases applicants’ chances of a good rank in the JEE Main 2022 exam.

Coordinate Geometry: IIT JEE Main 2022 Important Topic
Coordinate geometry is a broad topic to cover. It is subdivided into sections such as parabola, ellipse, and hyperbola. Students must properly revise the formulas of this section, as it can help them determine instant answers.
The only key for students to master coordinate geometry is to explore beyond the CBSE curriculum. The JEE Main 2022 applicants must comprehensively study this chapter’s important topics from NCERT textbooks NCERT Solutions for Class 12 Maths before following other reference books.
2D Geometry 

Straight Lines  Concepts of StraightLine 
Conic Section 

Students must use these coordinate geometry revision notes for the JEE Main 2022 exam preparation.
Distance Formula
The distance ‘d’ between any two locations on the coordinate axis, A (x1,y1) and B (x2,y2), is determined by NCERT Solutions for Class 12 Maths.
d = (x2 – x1)2 +(y2 – y1)2
 Distance between Two Points on a Line
Assume a line ax+by+c=0 and a point P(x1,y1). Then the distance ‘d’ between point P and the line will be determined by maths concepts – Learn Important Mathematics Concepts
 Distance between Two Parallel Lines
Assume there are two lines, line 1 ax+by+c=0 and line 2 ax+by+c’=0. Then the ‘d’ distance NCERT Solutions for Class 11 Maths between both the lines will be determined by:
Section Formula
The coordinates of point D when it is divided by line AB in the ratio m: n will be determined by:
Area of Triangle
There are numerous formulas for calculating the area of a triangle. The formula Maths Concepts – Learn Mathematics topics to use is determined by the information provided in the statement.
Case I: When height ‘h’ and base ‘b’ of the triangle is given. Then Area ‘A’ will be determined by:
Case II: If point coordinates are provided. Assume A(x1, y1), B(x2, y2), and C. (x3,y3 ). Then there’s Area ‘A’ will be determined by:
Equation of Straight Line
Case 1: PointSlope Form
Assume ‘m’ is the slope of the line. Now let the line pass through point A. (x1,y1). Then the equation of the line NCERT Solutions for Class 12 Maths will be determined by:
Case 2: PointPoint Form
Allow a line to pass across positions A(x1,y1) and B. (x2,y2). Then the line equation will be determined by:
Case 3: SlopeIntercept Form
Assume the slope of the line be ‘m,’ and the intercept on the yaxis be ‘c.’ Then the line equation will be determined by Maths Concepts – Learn Mathematics topics.
Case 4: Intercept Form
Allow the line to have intercepts’ a’ and ‘b’ on the x and yaxes, respectively. Then the line equation will be determined by:
Case 5: Standard Form
Assume the line’s distance from the origin is ‘p’ and the angle it makes with the origin will be determined by:
Concurrency of Lines
If two lines are not parallel, they are concurrent Maths Concepts – Learn Mathematics topics. There are three lines:
Line 1: a1x+b1y+c1=0
Line 2: a2x+b2y+c2=0
Line 3: a3x+b3y+c3=0
All three lines are concurrent if,
Collinearity of Points
Points A(x1,y1), B(x2,y2), and C(x3,y3) are collinear only if,
Angle formed by Two Lines
Let us assume m1 and m2 to be the slopes of two lines. The angle formed by two lines will be determined by:
The point’s position in relation to the line:
 Position of points A(x1,y1) and B(x2,y2) with respect to the line ax + by+c=0.
 If both ax1+by1+c1=0 and ax2+by2+c2=0 have the same signs, then points A and B will lie on the same line; otherwise, they will lie on the opposite side of the line.
Locus of Point
When a point shifts from its location to satisfy a specific requirement or criteria, its path is referred to as its Locus Maths Concepts – Learn Mathematics topics.
 The use of coordinates JEE Main 2022 Maths Syllabus to represent the locus of a point in twodimensional space:
 To calculate the coordinates of a point D in twodimensional space for the origin. The OXY axes are an ordered pair of real integers expressed as (x, y). The coordinates are the distances from the origin of the foot of the perpendiculars from the point P on the respective cartesian coordinates.
 The origin coordinates are (0,0).
 Equation of a curve/ region:
 The equation of curve/region depicts the relationship seen between coordinates of every point on the curve/region, which holds for no other points beyond those on the curve/region.
 The xaxis equation is y = 0; the yaxis equation is x = 0.
Conic Section: Recognition of Conics
Δ1  Δ2  Conic 
0  > 0
= 0 < 0 
Real and distinct lines
Parallel lines Imaginary lines 
≠ 0  = 0
< 0 > 0 > 0 and a + b = 0 < 0 and h = 0, a = b 
Parabola
Ellipse Hyperbola Rectangular hyperbola Circle 
Eccentricity
Assume P be any rotating point and S be the conic’s focus (fixed point). Now assume PM as the perpendicular distance of the point from the conic’s directrix (fixed line). The Maths Concepts – Learn Mathematics topics conic’s eccentricity ‘e’ is defined by
Conic  Eccentricity 
Ellipse  0 < e < 1 
Parabola  e = 1 
Hyperbola  e > 1 
Circle  e ➡ 1 
Pair of straight line  e ➡ χ 
Important Note: Students should note that the letter ‘e’ can not be negative. 
Summary
Students preparing for coordinate geometry must always understand that this topic plays a significant role in the JEE Main 2022 Maths examination JEE Main 2022 Maths Syllabus. This topic can significantly boost the rankings of the applicants attempting for the JEE Main 2022 examination. This topic accounts for approximately 20% – 25% of the overall points, and nearly 50% of the total questions JEE Main 2022 Maths Syllabus are asked from straight lines and circles. Students will surely get an edge if they are wellversed in this part. Having a good grasp on this topic will assist students in tackling certain difficult problems from earlier chapters graphically.
FAQs about Preparing for JEE Main 2022
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