AP EAMCET · Maths · Area Under Curves
The area of the region that is common to the circle \(x^2+y^2=16 a^2\) and the parabola \(y^2=6 a x\) is
- A \(\frac{4 a^2}{3}(4 \pi+\sqrt{3})\)
- B \(\frac{2 a^2}{3}(3 \pi+\sqrt{3})\)
- C \(\frac{4 a^2}{3}(2 \pi+\sqrt{2})\)
- D \(\frac{2 a^2}{3}(2 \pi+\sqrt{3})\)
Answer & Solution
Correct Answer
(A) \(\frac{4 a^2}{3}(4 \pi+\sqrt{3})\)
Step-by-step Solution
Detailed explanation
No solution. Refer to answer key.
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
- \(\int \frac{1+x \cos x}{x\left[1-x^2\left(e^{\sin x}\right)^2\right]} d x=\)AP EAMCET 2023 Medium
- If the curves \(x^2+p y^2=1\) and \(q x^2+y^2=1\) are orthogonal to each other, thenAP EAMCET 2013 Hard
- Find the equation of a line which passes through and is perpendicular to the line .AP EAMCET 2021 Easy
- For how many values \(a \in \mathbf{C}\), the equations \(x^2-8 x+7=0\) and \(x^2-2 a x+49=0\) have a common root?AP EAMCET 2020 Easy
- Let \(n=1 !+4 !+7 !+\ldots+400 !\). Then ten's digit of \(n\) isAP EAMCET 2010 Hard
- If the sum of any two roots of the equation is zero, thenAP EAMCET 2018 Easy
More PYQs from AP EAMCET
- Along the \(x\)-axis, three charges \(\frac{q}{2},-q\) and \(\frac{q}{2}\) are placed at \(x=0, x=a\) and \(x=2 a\) respectively. The resultant electric potential at a point \(P\) located at a distance \(r\) from the charge \(-q(a < r)\) is \(\left(\varepsilon_0\right.\) is the permittivity of free space)AP EAMCET 2007 Hard
- \(\int \frac{3-x^2}{1-2 x+x^2} e^x d x=e^x f(x)+c \Rightarrow f(x)\)AP EAMCET 2004 Medium
- Strongest conjugate base among the following isAP EAMCET 2020 Easy
- The direction ratios of the two lines \(A B\) and \(A C\) are \(1,-1,-1\) and \(2,-1,1\). The direction ratios of the normal to the plane \(A B C\) areAP EAMCET 2013 Hard
- \([x]\) denotes the greatest integer less than or equal to \(x\). If \(\{x\}=x-[x]\) and \(\lim _{x \rightarrow 0^{-}} \frac{\sin ^{-1}(x+[x])}{2-\{x\}}=\theta\), then \(\sin \theta+\cos \theta=\)AP EAMCET 2025 Medium
- If \(S=\left[\begin{array}{lll}0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0\end{array}\right]\) and \(A=\frac{1}{2}\left[\begin{array}{lll}b+c & c-a & b-a \\ c-b & c+a & a-b \\ b-c & a-c & a+b\end{array}\right]\), then \(\mathrm{SAS}^{-1}=\)AP EAMCET 2023 Easy