JEE Mains · Maths · STD 12 - 8. Application and integration
The area bounded by the lines \(y=\| x-1|-2 |\) is
- A \(10\)
- B \(8\)
- C \(4\)
- D \(6\)
Answer & Solution
Correct Answer
(B) \(8\)
Step-by-step Solution
Detailed explanation
Question is incomplete it should be area bounded by \(y=|x-1|-2 \mid\) and \(y=2\) Area \(=2\left(\frac{1}{2} \cdot 4.2\right)\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The mean and variance of \(7\) observations are \(8\) and \(16\) respectively. If two observations are \(6\) and \(8 ,\) then the variance of the remaining \(5\) observations is:JEE Mains 2021 Medium
- Let \(\quad S=\left\{z \in C-\{i, 2 i\}: \frac{z^2+8 i z-15}{z^2-3 i z-2} \in R \right\}\). \(\alpha-\frac{13}{11} i \in S , \alpha \in R -\{0\}\), then \(242 \alpha^2\) is equal toJEE Mains 2023 Hard
- Let \(a_{n}=\int_{-1}^{n}\left(1+\frac{x}{2}+\frac{x^{2}}{2}+\frac{x^{3}}{3}+\ldots \ldots .+\frac{x^{n-1}}{n}\right) d x\) for \(n \in N\). Then the sum of all the elements of the set \(\left\{n \in N: a_{n} \in(2,30)\right\}\) is \(...........\)JEE Mains 2022 Hard
- If \(f(x)=\left\{\begin{array}{cl}x^3 \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, & x=0\end{array}\right.\), thenJEE Mains 2024 Hard
- If \(P\) is a \(3 \times 3\) real matrix such that \(P ^{ T }=a P +( a -1) I\), where \(a > 1\), then \(..........\)JEE Mains 2023 Hard
- Let the coefficients of three consecutive terms in the binomial expansion of \((1+2 x)^{ n }\) be in the ratio \(2: 5: 8\). Then the coefficient of the term, which is in the middle of these three terms, is \(...........\).JEE Mains 2023 Hard
More PYQs from JEE Mains
- If in a parallelogram \(ABDC\), the coordinates of \(A, B\) and \(C\) are respectively \((1, 2), (3, 4)\) and \((2, 5)\), then the equation of the diagonal \(AD\) isJEE Mains 2019 Hard
- The locus of the midpoints of the chord of the circle, \(x^{2}+y^{2}=25\) which is tangent to the hyperbola \(, \frac{ x ^{2}}{9}-\frac{ y ^{2}}{16}=1\) isJEE Mains 2021 Hard
- Let \(f:(1,\infty)\to\mathbb{R}\) be a function defined as \(f(x) = \dfrac{x-1}{x+1}\). Let \(f^{i+1}(x) = f(f^i(x))\), \(i=1, 2, \ldots, 25\), where \(f^1(x)=f(x)\). If \(g(x) + f^{26}(x) = 0\), \(x \in (1, \infty)\), then the area of the region bounded by the curves \(y=g(x)\), \(2y=2x-3\), \(y=0\) and \(x=4\) is:JEE Mains 2026 Hard
- Let \(f(x)\) be a polynomial function such that \(f(x)+f^{\prime}(x)+f^{\prime \prime}(x)=x^{5}+64\). Then, the value of \(\lim _{x \rightarrow 1} \frac{f(x)}{x-1}\)JEE Mains 2022 Medium
- Let \(\alpha, \beta \in \mathrm{N}\) be roots of equation \(\mathrm{x}^2-70 \mathrm{x}+\lambda=0\), where \(\frac{\lambda}{2}, \frac{\lambda}{3} \notin \mathrm{N}\). If \(\lambda\) assumes the minimum possible value, then \(\frac{(\sqrt{\alpha-1}+\sqrt{\beta-1})(\lambda+35)}{|\alpha-\beta|}\) is equal to :JEE Mains 2024 Hard
- The positive integer n, for which the solutions of the equation \( x(x+2)+(x+2)(x+4)+....+(x+2n-2)(x+2n) = \frac{8n}{3} \) are two consecutive even integers, is :-JEE Mains 2026 Hard