# Tips And Tricks And Shortcuts on Coordinate Geometry

## Shortcuts, Tips and Tricks for the Questions of Coordinate Geometry

To solve questions effectively and accurately in placement exams you need to have a stronghold on the tips, tricks and shortcuts of that chapter. This page will provide you with all possible Tips Tricks of Coordinate Geometry and will provide you with various shortcuts as well.

The Tips Tricks of Coordinate Geometry and Shortcuts are listed below with the sample questions.

### Introduction to Tips Tricks and Shortcuts for Coordinate Geometry

• Here, are Coordinate Geometry tips and tricks and shortcuts. Co-ordinate Geometry are most asked in recruitment exams. Learn, the tricks on Coordinate Geometry easily, and efficiently.
• Here are the types of problems given for solving the coordinate geometry questions based on areas , length of segment and distance time graphs

### Type 1:  Coordinate Geometry Questions Tips and Tricks and Shortcuts for .

Question 1. Find the equation of straight line passing through (2, 3) and perpendicular to the line 3x + 2y + 4 = 0

Options:

A. 2x – 3y + 5 = 0

B. 2x + 3y + 5 = 0

C. 2x – 3y – 5 = 0

D. 2x + 3y – 5 = 0

Solution :    x1 = 2; y1 = 3

The given line is 3x + 2y + 4 = 0

Line perpendicular to it will have slope m = $\frac{2}{3}$

Thus equation of line through (2, 3) and slope $\frac{2}{3}$ = y – y1 = m(x – x1)

(y – 3) = $\frac{2}{3}$ (x – 2)

y – 3 = 2x –$\frac{4}{3}$

3y – 9 = 2x – 4

2x – 3y + 5 = 0

Correct option: A

### Type 2: Tips Tricks and Shortcuts for In which quadrant does the point lie?

Question 1. In which quadrant does the point (-2, 3) lie?

Options:

Solution:    The point is negative in the x axis and positive for the y axis, thus the point must lie in the 2nd quadrant.

Correct option: 2

### Type 3: Tips and Tricks  for Find length of the segment or coordinates

Question 1. Find the coordinate of the point which will divide the line joining the point (2, 3) and (3, 5) internally in the ratio 2:3?

Options:

A. 2, 1

B. 2, 5

C.  $\frac{12}{5}$, $\frac{19}{5}$

D.  12, $\frac{15}{19}$

Solution:    We know that, x= $\frac{ m x_{2} + nx_{1}}{m + n}$ and y= $\frac{my_{2} + ny_{1} }{m + n}$

x = 2 × 3 + 3 × $\frac{2}{2}$+ 3

x = $\frac{12}{5}$

y = 2 × 5 + 3 × $\frac{3}{2}$ + 3

y = $\frac{19}{5}$

Therefore, (x, y) = $\frac{12}{5}$, $\frac{19}{5}$

Correct option: 3

### Type 4: Tips  Tricks and Shortcuts for  Area of the Triangle in Coordinate Geometry

Question 1. Find the area of the triangle formed by the vertices (1, 2), (3,5) and (-2, 3)

Options:

A. 2.5

B. 3.5

C. 5.5

D. 6

Solution :    Area of triangle = A = $\frac{1}{2} ×[ (x_{1}(y_{2}-y_{3}) + (x_{2}(y_{3}-y_{1}) ) + (x_{3}(y_{1}-y_{2}) )]$

A =$\frac{1}{2} ×[ (1(5-3) + (3(3-2) ) + (2(2-5) )]$

A =$\frac{1}{2} ×[ (1(2) + (3(1) ) + (2(-3) )]$

A = $\frac{1}{2} ×[ 2 + 3 + 6]$

A = $\frac{1}{2} ×[11]$

A = 5.5

Correct option: C

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### 2 comments on “Tips And Tricks And Shortcuts on Coordinate Geometry”

• Avinash

Could not access tips and tricks of algebra…..am directed to tips and tricks of coordinate geometry

• HelpPrepInsta

Sorry Avinash, we are currently working on the tips and tricks of Algebra, we’ll link them as soon as we are completed with them