SATHEE: Area Question 27

Area Question 27

Question 27

The slope of tanget to a curve $y = f (x)$ at $[x, f (x)]$ is $2 x + 1$ . If the curve passes through the point $(1, 2)$ , then the area bounded by the curve, the X-axis and the line $x = 1$ is (a) $\frac{3}{2}$ (b) $\frac{4}{3}$ (c) $\frac{5}{6}$ (d) $\frac{1}{12}$

Objective Questions II

(One or more than one correct option)

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Solution:

Given, $\frac{d y}{d x} = 2 x + 1$

On integrating both sides

Thus, the required area bounded by $X$ -axis, the curve and $x = 1$

$\begin{aligned} = \int_{0}^{1} (x^{2} + x) d x = \frac{x^{3}}{3} + \frac{x^{2}}{2} & = \frac{1}{3} + \frac{1}{2} = \frac{5}{6} sq unit \end{aligned}$

Area Question 27

Question 27

Objective Questions II

(One or more than one correct option)

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Area Question 27

Question 27

Objective Questions II

(One or more than one correct option)

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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