Home
Class 12
MATHS
Using integration find the area of regi...

Using integration find the area of region bounded by the triangle whose vertices are (1, 0), (2, 2) and (3, 1).

Text Solution

AI Generated Solution

To find the area of the triangle with vertices at (1, 0), (2, 2), and (3, 1) using integration, we will follow these steps: ### Step 1: Find the equations of the lines forming the triangle's sides. 1. **Line AB (from (1, 0) to (2, 2)):** Using the two-point form of the line equation: \[ y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x - x_1) ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise Exercise 8.1|13 Videos

  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos

  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos

  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|51 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT ENGLISH|Exercise EXERCISE 5.7|17 Videos

Similar Questions

Explore conceptually related problems

Using integration find the area of region bounded by the triangle whose vertices are ( 1, 0), (1, 3) a n d (3, 2) .

Using integration, find the area of region bounded by the triangle whose vertices are (–2, 1), (0, 4) and (2, 3) .

Using integration, find the area of the region bounded by the triangle whose vertices are (-1, 2), (1, 5) and (3, 4).

Using integration, find the area of the region bounded by the triangle whose vertices are (2,1), (3, 4) and (5,2).

Using integration, find the area of the triangle whose vertices are (1, 0), (4, 0) and (4, 4).

Find the area of the triangle whose vertices are (3,8), (-4,2) and (5, -1).

Find the area of the triangle whose vertices are (3, 8) , (-4, 2) and (5, 1) .

Using integration, find the area of the triangle ABC whose vertices are A(-1,1), B(0,5) and C(3,2) .

find the area of triangle whose vertices are (3,8),(-4,2)and (5,1)

Using integration, find the area of the triangle PQR, coordinates of whose vertices are P(2, 0), Q(4, 5) and R(6, 3).