Home
Class 12
MATHS
Find by integration the area of the tria...

Find by integration the area of the triangle bounded by line `4y -5x =0` ,the x axis and the ordinate x =4 Verify your result by using the definition of area of a triangle as half the product of the base and the altitude.

Text Solution

Verified by Experts

The correct Answer is:
`= (1)/(2) xx vec (OM) xx vec (MN) =(1)/(2) xx 4xx 5 =10` square units,
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise EXERCISE 17 ( M,C,Q )|4 Videos
  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Very short Answer type Questions|10 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos
  • DETERMINANT

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Find by integration the area of the triangle bounded by the lines 3x -2y =6,y=0 and x=4 Verify your result by using the definition or area of a triangle as half the product of the base and altitude

Find the area of the region bounded by the curve y=cos x , x axis and the ordinates x=0 and x=2pi

find the area of the triangle formed by the lines y=0, x+y=0 and x-4=0

Find the area bounded by the curve y^(2) = 4x the x-axis and the ordinate at x=4

Find by integration the area of the trapezoid bounded by y=4x=-3,y=0 and x=3 .Verify your result by finding the area of a trapezoid as the product of half the sum of the two parallel sides and the distance between them.

Find the area of the triangle formed by the lines y - x = 0, x + y = 0 " and " x - k = 0 .

Using intregation find the area of the region bounded by the line 2y + x=8 and the lines x= 2 and x =4