Coordinate Geometry

What are Coordinate Geometry?

Coordinate geometry is a system in which we makes use of the coordinate points to study the geometry. It is also used to describe the link between the geometry and the algebra.

Find the slope of the line 4x – 6y = 12

To find the slope of the line 4x – 6y = 12,

slope = -(4/(-6))

slope = 2/3

What methods can be used to solve coordinate geometry?

To solve coordinate geometry, we can use formulas like stance formula, slope formula, midpoint formula, the equation of a line, etc.

What does it mean when two pair of lines are parallel?

When two pair of lines are parallel, that means their slopes are equal

What does it mean when two pair of lines are perpendicular?

When two pair of lines are perpendicular, that means the product of the slopes is = -1.



Practice Questions on Coordinate Geometry

In this article, we will learn about one interesting topic which is covered in class 9 and class 10 mathematics. We will look at some formulas and problems of Coordinate Geometry.

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Important Formulas

General Form of a Line : Ax + By + C = 0 Slope Intercept Form of a Line : y = mx + c Point-Slope Form : y − y1= m(x − x1) The slope of a Line Using Coordinates : m = Δy/Δx = (y2 − y1)/(x2 − x1) The slope of a Line Using General Equation : m = −(A/B) Intercept-Intercept Form : x/a + y/b = 1 Distance Formula : |P1P2| = √[(x2 − x1)2 + (y2 − y1)2] For Parallel Lines : m1 = m2 For Perpendicular Lines : m1m2 = -1 Midpoint Formula : M (x, y) = [½(x1 + x2), ½(y1 + y2)] Angle Formula : tan θ = [(m1 – m2)/ (1 + m1m2)] Area of a Triangle Formula = ½ |x1(y2−y3)+x2(y3–y1)+x3(y1–y2)| Distance from a Point to a Line : d = [|Ax0 + By0 + C| / √(A2 + B2)]...

Practice Problems with Solutions:

Q1. Find the equation of a line which passes through the points (3, 4) and (5, 8) in the general form....

Unsolved questions

Q1. Find the equation of a line passing through the points (-1, 3) and (2, -5) in the general form Ax+By+C=0....

FAQs on Coordinate Geometry

What are Coordinate Geometry?...