Question:
The area of the region bounded by the line $y = 2x + 1$, $x $ - axis and the ordinates $x = -1$ and $x = 1$ is
The area of the region bounded by the line $y = 2x + 1$, $x $ - axis and the ordinates $x = -1$ and $x = 1$ is
Updated On: May 11, 2024
- $\frac{9}{4}$
- $2$
- $\frac{5}{2}$
- $5$
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Area bounded by $y = 2x+1$ with $x$- axis
$= (1/2) (1/2)(1) +(1/2) (3/2)(3) $
$= 5/2$ s units.
$= (1/2) (1/2)(1) +(1/2) (3/2)(3) $
$= 5/2$ s units.
Was this answer helpful?
0
5
Top Questions on Area under Simple Curves
- The area of the region in the first quadrant inside the circle \(x^2 + y^2 = 8\) and outside the parabola \(y^2 = 2x\) is equal to:
- JEE Main - 2024
- Mathematics
- Area under Simple Curves
- If the area of the region \[ \left\{(x, y) : \frac{a}{x^2} \leq y \leq \frac{1}{x}, \, 1 \leq x \leq 2, \, 0<a<1 \right\} \] is \[ (\log 2) - \frac{1}{7}, \] then the value of $7a - 3$ is equal to:
- JEE Main - 2024
- Mathematics
- Area under Simple Curves
- The area enclosed between the curves $y = x|x|$ and $y = x - |x|$ is:
- JEE Main - 2024
- Mathematics
- Area under Simple Curves
- One of the points of intersection of the curves \( y = 1 + 3x - 2x^2 \) and \( y = \frac{1}{x} \) is \( \left( \frac{1}{2}, 2 \right) \). Let the area of the region enclosed by these curves be \[\frac{1}{24} \left( \ell \sqrt{5} + m \right) - n \log_e \left( 1 + \sqrt{5} \right),\] where \( \ell, m, n \in \mathbb{N} \). Then \( \ell + m + n \) is equal to:
- JEE Main - 2024
- Mathematics
- Area under Simple Curves
- Let the area of the region enclosed by the curve $y = \min\{\sin x, \cos x\}$ and the x-axis between $x = -\pi$ to $x = \pi$ be $A$. Then $A^2$ is equal to _____.
- JEE Main - 2024
- Mathematics
- Area under Simple Curves
View More Questions
Questions Asked in KCET exam
- Ten identical cells each emf 2V and internal resistance 1Ω are connected in series with two cells wrongly connected. A resistor of 10Ω is connected to the combination. What is the current through the resistor?
- KCET - 2023
- Cells in Series and in Parallel
- The speed of sound in an ideal gas at a given temperature T is v. The rms speed of gas molecules at that temperature is vrms. The ratio of the velocities v and vrms for helium and oxygen gases are X and X' respectively. Then \(\frac{X}{X'}\) is equal to
- KCET - 2023
- Thermodynamics
- If \(p(\frac{1}{q}+\frac{1}{r}),q(\frac{1}{r}+\frac{1}{p}),r(\frac{1}{p}+\frac{1}{q})\) are in A.P., then p, q, r
- KCET - 2023
- Arithmetic Progression
- A stretched wire of a material whose Young's modulus Y = 2 × 1011 Nm-2 has Poisson's ratio of 0.25. Its lateral strain εl = 10-3. The elastic energy density of the wire is
- KCET - 2023
- mechanical properties of solids
- A metallic rod of length 1 m held along east-west direction is allowed to fall down freely. Given horizontal component of earth’s magnetic field BH = 3 × 10-5 T. The emf induced in the rod at an instant t = 2s after it is released is ( Take g = 10 ms-2 )
- KCET - 2023
- Faradays laws of induction
View More Questions
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