Home
Class 12
MATHS
Plot the poitns whose coordinate are giv...

Plot the poitns whose coordinate are given below.
(i) `(2,3pi)`
(ii) `(2,-2pi//3)`
(iii) `(-3,3pi//4)`.

Text Solution

AI Generated Solution

To plot the points given in polar coordinates, we will convert each point into Cartesian coordinates and then plot them on the Cartesian plane. The polar coordinates are given as (r, θ), where r is the distance from the origin and θ is the angle measured from the positive x-axis. ### Step-by-Step Solution: 1. **Convert the first point (2, 3π) to Cartesian coordinates:** - The polar coordinates are (r, θ) = (2, 3π). - Convert to Cartesian using the formulas: - \( x = r \cdot \cos(θ) \) ...
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE ENGLISH|Exercise Illustration1.51|1 Videos
  • COORDINATE SYSYEM

    CENGAGE ENGLISH|Exercise Illustration1.52|1 Videos
  • COORDINATE SYSYEM

    CENGAGE ENGLISH|Exercise Illustration1.49|1 Videos
  • COORDINATE SYSTEM

    CENGAGE ENGLISH|Exercise Multiple Correct Answers Type|2 Videos
  • CROSS PRODUCTS

    CENGAGE ENGLISH|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

Convert the following points from polar coordinates to the corresponding Cartesian coordinates. (i) (2,pi//3) (ii) (0.pi//2) (iii) (-sqrt(2),pi//4)

Find the area of the triangle whose vertices are given below : (i) (-3,-4), (-2,-7), (-1,-9) (ii) (3,8),(-4,2), (5,1) (iii) (2,1), (3,2), (-1, 4)

Which one of the following triplets CANNOT be the angles made by a line in space with the three coordinate axes? a. (pi/4,(3pi)/4,pi/2) b. (pi/4,pi/3,(2pi)/3) c. (pi/3,(3pi)/4,pi/3) d. (pi/4,pi/3,pi/4)

The argument of -I is: (i) pi (ii) -pi (iii) -(pi)/2 (iv) (pi)/2

The argument of (1+i)/(1-i) is (i) 0 (ii) -(pi)/(2) (iii) (pi)/(2) (iv) pi

Locate the points (i) (2,3,4) (ii) (-2,-2,. 3) (iii) (2, -2, -3) on coordinate axis

The inclination of the line passing through the point (-3,6) and the mid-point of the line joining the points (4,-5) and (-2,9) is (i) (pi)/(2) (ii) (pi)/(6) (iii) (pi)/(3) (iv) (3pi)/(4)

For 0 cos^(-1)(sintheta) is true when theta belongs to (a) (pi/4,pi) (b) (pi,(3pi)/2) (c) (pi/4,(3pi)/4) (d) ((3pi)/4,2pi)

Given both thetaa n dphi are acute angles and sintheta=1/2,cosvarphi=1/3, then the value of theta+varphi belongs to (a) (pi/3,pi/2] (b) (pi/2,(2pi)/3] (c) ((2pi)/3,(5pi)/6] (d) ((5pi)/6,pi]

Evaluate each of the following: sin^(-1)(sin(2pi)/3) (ii) cos^(-1)(cos(7pi)/6) (iii) tan^(-1)(tan(3pi)/4)