TS EAMCET · Maths · Area Under Curves
The area of the region bounded by the curves \(x=y^2-2\) and \(x=y\) is
- A \(\frac{9}{4}\)
- B 9
- C \(\frac{9}{2}\)
- D \(\frac{9}{7}\)
Answer & Solution
Correct Answer
(C) \(\frac{9}{2}\)
Step-by-step Solution
Detailed explanation
We have, \( x=y^2-2 \text { and } x=y \) Solving, \(x=y^2-2\) and \(x=y\), we get \((-1,-1)\) and \((2,2)\) Area of shaded region is…
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
- A line is passing through the point whose position vector is and parallel to the vector . A plane is passing through the points and parallel to the vector . Then the point where this plane meets the line isTS EAMCET 2018 Hard
- If the equations \(2 x-3 y+3=0,2 x+y+1=0\) and \(6 x+4 y+1=0\) represent the sides of a triangle, then the equation of the circle passing through the vertices of this triangle isTS EAMCET 2023 Easy
- If the pair of lines and have a common line. thenTS EAMCET 2018 Medium
- If the vectors \(\mathbf{A B}=p \hat{\mathbf{i}}+q \hat{\mathbf{j}}+r \hat{\mathbf{k}}\), \(\mathbf{A C}=s \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+4 \hat{\mathbf{k}}, \mathbf{C B}=3 \hat{\mathbf{i}}+\hat{\mathbf{j}}-2 \hat{\mathbf{k}}\) from \(\triangle A B C\), then the values of \(p, q, r\) and \(s\) such that the area of that \(\triangle A B C\) is \(5 \sqrt{6}\) areTS EAMCET 2020 Hard
- If \((3,1)\) and \((-2,4)\) are points on a circle \(S\) whose centre lies on the line \(x-y+1=0\) then the parametric equations of S areTS EAMCET 2023 Medium
- If \(\frac{x+3}{(x+1)\left(x^2+2\right)}=\frac{a}{x+1}+\frac{b x+c}{x^2+2}\) then \(a-b+c=\)TS EAMCET 2025 Easy
More PYQs from TS EAMCET
- \(\sqrt{3} \operatorname{cosec} 20^{\circ}-\sec 20^{\circ}\) is equal toTS EAMCET 2008 Medium
- A fly-wheel of mass \(25 \mathrm{~kg}\) has a radius of \(0.2 \mathrm{~m}\). It is making \(240 \mathrm{rpm}\). What is the torque necessary to bring to rest in \(20 \mathrm{~s}\) ?TS EAMCET 2010 Medium
- The mass number and the volume of a nucleus is and respectively. If the mass number is increased to then the volume is changed toTS EAMCET 2021 Medium
- If in the angles of a triangle are in the ratio \(1: 1: 4\), then the ratio of the perimeter of the triangle to its largest side isTS EAMCET 2014 Hard
- If \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}, 3 \hat{\mathbf{i}}+2 \hat{\mathbf{j}}+\hat{\mathbf{k}}\) are sides of a parallelogram, then a unit vector is parallel to one of the diagonals of the parallelogram isTS EAMCET 2004 Easy
- The sum of the fourth powers of the roots of the equation \(x^3+x+1=0\) isTS EAMCET 2008 Medium