The area of the region bounded by the line $y = 2x + 1$, $x $ - axis and the ordinates $x = -1$ and $x = 1$ is
- $\frac{9}{4}$
- $2$
- $\frac{5}{2}$
- $5$
The Correct Option is C
Solution and Explanation
$= (1/2) (1/2)(1) +(1/2) (3/2)(3) $
$= 5/2$ s units.
Top Questions on Area under Simple Curves
The area of the region enclosed between the curve \( y = |x| \), x-axis, \( x = -2 \)} and \( x = 2 \) is:
- CBSE CLASS XII - 2025
- Mathematics
- Area under Simple Curves
Let the area of the region \( \{(x, y) : 2y \leq x^2 + 3, \, y + |x| \leq 3, \, y \geq |x - 1|\} \) be \( A \). Then \( 6A \) is equal to:
- JEE Main - 2025
- Mathematics
- Area under Simple Curves
- The area of the region, inside the circle \((x-2\sqrt{3})^2 + y^2 = 12\) and outside the parabola \(y^2 = 2\sqrt{3}x\) is:
- JEE Main - 2025
- Mathematics
- Area under Simple Curves
- Find the area between the line $ y = x - 1 $, $ y = 0 $, $ -2 \leq y \leq 2 $.
- KEAM - 2025
- Mathematics
- Area under Simple Curves
If the area of the region $$ \{(x, y): |4 - x^2| \leq y \leq x^2, y \geq 0\} $$ is $ \frac{80\sqrt{2}}{\alpha - \beta} $, $ \alpha, \beta \in \mathbb{N} $, then $ \alpha + \beta $ is equal to:
- JEE Main - 2025
- Mathematics
- Area under Simple Curves
Questions Asked in KCET exam
- Identify the incorrect statement with respect to the rules of Binomial Nomenclature.
- KCET - 2025
- Nomenclature and taxonomy
- If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
- KCET - 2025
- Binomial theorem
You are given a dipole of charge \( +q \) and \( -q \) separated by a distance \( 2l \). A sphere 'A' of radius \( R \) passes through the centre of the dipole as shown below and another sphere 'B' of radius \( 2R \) passes through the charge \( +q \). Then the electric flux through the sphere A is
- KCET - 2025
- Electrostatic potential
- If \(N_2\) gas is bubbled through water at 293 K, how many moles of \(N_2\) gas would dissolve in 1 litre of water? Assume that \(N_2\) exerts a partial pressure of 0.987 bar. [Given \(K_H\) for \(N_2\) at 293 K is 76.48 K bar]
- KCET - 2025
- Gas laws
- A solenoid is 1 m long and 4 cm in diameter. It has five layers of windings of 1000 turns each and carries a current of 7 A. The magnetic field at the centre of the solenoid is
- KCET - 2025
- Magnetic Field
Concepts Used:
Area under Simple Curves
- The area of the region bounded by the curve y = f (x), x-axis and the lines x = a and x = b (b > a) - given by the formula:
- The area of the region bounded by the curve x = φ (y), y-axis and the lines y = c, y = d - given by the formula:
Read More: Area under the curve formula