Coordinate Geometry for NATA: Tricks to Remember Formulas

 NATA is a highly competitive exam with numerous students appearing each year for admission to their dream architecture college. To ace the NATA exam, it is crucial to be well-versed with the syllabus. The NATA maths syllabus covers various topics, with coordinate geometry being one of the most challenging topics. In this blog, we share some tips to help you remember coordinate geometry formulas and excel in the NATA entrance exam. 

Significance of Coordinate Geometry in NATA

Coordinate geometry is an essential part of the mathematical reasoning in NATA. Many fundamental geometry concepts hold significance in the NATA preparation. It is also known as analytical geometry. It is used to understand curves and graphs in architecture. It uses a mix of algebra and mathematics to help us understand shapes; that's why learning geometry is crucial.

Coordinate Geometry for NATA

Important Coordinate Geometry Concepts For NATA

Learning these formulas might seem tiring and rigid, but they are relatively simple to apply while solving questions. These formulas work as free marks if you study and prepare them well. Do you want to have a good command of coordinate geometry? Join BRDS, the best NATA coaching. We provide our students with high-quality NATA study materials, mock test papers, mock tests, well-curated 12 books, and honest feedback. Call us for admission. 

Some Important Coordinate Geometry  Formulas to Remember

  1. Distance formula

This formula is used to measure the distance between two given points on a graph.

Formula: Distance = √(a2−a1)²+(b2−b1)²

  1. Slope formula

The slope formula is used to find out the slope or inclination of a line when the angle between the two lines is not available.

Formula for Slope: (b2-b1)/(a2-a1)

(a1, b1) are coordinates of the first point.

(a2, b2) are coordinates of the second point.

  1. Section formula

The section formula facilitates finding the coordinates of a point that divides a line internally or externally in a given ratio. If the line is AB, with point A (a1, b1) and B (a2, b2), and is divided by point C (a3, b3). The ratio of intersection is m:n. Then, to find the value of this point, use the formula:

C (a3, b3) = {(m.a2 + n.a1)/(m+n), (m.b1 + n.b2)/(m+n)} 

  1. Mid-point formula

A midpoint divides a line into a 1:1 ratio; this formula helps in finding the exact middle point of a line segment. 

Formula: C (a3, b3) = {(a2 + a1)/2, (b1 + b2)/2} 

  1. Area of a triangle formula

The area inside a triangle can be found using this formula. If points of a triangle are X(a1,b1), Y(a2,b2), and Z(a3,b3), then the formula will be

Area of a Triangle = ½ {a1(b2 – b3) + a2 (b3 – b1) + a3 (b1 – b2)} 

  1. Equation of a line formula

This formula is used when the coordinates of one point and the slope are known; you can use this formula to find the coordinates of another point. If point one (x1, y1) and the slope is m, then

Formula: y−y1​=m(x−x1​) 

  1. Collinearity of a line

When three points are on the same line, they are collinear, which means they have no area. So, to check collinearity, you can either measure the area of the triangle or you can find the slope between the three points. If m1=m2, then the three points lie on the same line (they're collinear).

Tricks to Remember Formulas

●      Try making a mnemonic: You can take the first letter of each formula name and create a rhyming song or poem to remember. 

●      Solve many sample questions for a single formula: Solving questions helps you learn and get accustomed to applying these formulas. 

●      Make personal notes: There is no better way to learn than to write your notes and refer to them before attempting the sample questions. 

Coordinate geometry might be a tricky subject, but with expert guidance from BRDS-  the best NATA coaching classes you can ace the exam. We provide our students with complete NATA study material and NATA sample papers, mock tests, video lectures, and much more.  We also make sure our students have access to top-quality infrastructure and expert faculty. Call us to for admission details.

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