Maths-
General
Easy
Question
The area of the region bounded by y=|x-1| and y=1 in sq. units is
- 1
- 1/2
- 2
- 3
Hint:
We are given an area bounded by y =|x-1| and y = 1
The correct answer is: 1
From the diagram we can see that, the area bounded is a triangle.
We will use the formula of area of triangle to find the area.
Area =
× base × height
The height of a triangle is the perpendicular distance from the vertex.
From the figure, the vertical distance is 1-0 = 1
The base of a triangle is the side from which we measure the height. Height and base of the triangle are perpendicular to each other.
From the figure, the base is 2-0 = 2
So, the area = × base × height
= ×2 × 1
= 1sq.units.
The area bounded is 1sq. units.
For such questions, we should know area of different shapes.
Related Questions to study
Maths-
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively
For such questions, we should know the formula of area of different shapes.
The area of the elliptic quadratic with the semi major axis and semi minor axis as 6 and 4 respectively
Maths-General
For such questions, we should know the formula of area of different shapes.
physics-
A solid sphere of radius 
has moment of inertia 
about its geometrical axis. If it is melted into a disc of radius 
and thickness 
. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to , then the value of is equal to
A solid sphere of radius has moment of inertia about its geometrical axis. If it is melted into a disc of radius and thickness . If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to , then the value of is equal to
physics-General
Maths-
The area of the region bounded by y=
and the x-axis is
The area of the region bounded by y= and the x-axis is
Maths-General
Maths-
Area of the region bounded by y
is
Area of the region bounded by y is
Maths-General
Maths-
Area of the region bounded by y=
and y=2 is
Area of the region bounded by y=and y=2 is
Maths-General
Maths-
The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is
The area bounded by y=cos x, y=x+1 and y=0 in the second quadrant is
Maths-General
physics-
A 
joint is formed by two identical rods 
and 
each of mass 
and length 
in the 
plane as shown. Its moment of inertia about axis coinciding with is
A joint is formed by two identical rods and each of mass and length in the plane as shown. Its moment of inertia about axis coinciding with is
physics-General
Maths-
The area bounded by the parabola
=4ay, x-axis and the straight-line y=2a is
The area bounded by the parabola=4ay, x-axis and the straight-line y=2a is
Maths-General
physics-
Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?
Four balls each of radius 10 cm and mass 1 kg, 2kg, 3 kg and 4 kg are attached to the periphery of massless plate of radius 1 m. What is moment of inertia of the system about the centre of plate?
physics-General
physics-
For the given uniform square lamina 
, whose centre is 
For the given uniform square lamina , whose centre is
physics-General
chemistry-
Which is correct about the change given below
Which is correct about the change given below
chemistry-General
chemistry-
Identify Z in the reaction 
Identify Z in the reaction
chemistry-General
chemistry-
X and Y are respectively
X and Y are respectively
chemistry-General
chemistry-
The product A is
The product A is
chemistry-General
chemistry-
Y is
Y is
chemistry-General
