TS EAMCET · Maths · Area Under Curves
The area of the triangle formed by the positive \(X\)-axis, the tangent and normal to the curve \(x^2+y^2=16 \alpha^2\) at the point \((2 \sqrt{2} a, 2 \sqrt{2} a)\) is
- A \(a^2\)
- B \(16 a^2\)
- C \(4 a^2\)
- D \(8 a^2\)
Answer & Solution
Correct Answer
(D) \(8 a^2\)
Step-by-step Solution
Detailed explanation
Given curve is \( x^2+y^2=16 a^2 \) On differentiating Eq. (i) w.r.t. \(x\), we get…
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
- Let Q be the image of a point \(\mathrm{P}(1,2)\) with respect to the line \(x+y+1=0\) and R be the image of Q with respect to the line \(x-y-1=0\). If M and N are the midpoints of PQ and QR respectively, then \(\mathrm{MN}=\)TS EAMCET 2025 Medium
- Observe the following lists

Then the correct match for List I from List II is A B C DTS EAMCET 2005 Medium - If and are the greatest divisors of and respectively for all , thenTS EAMCET 2018 Medium
- Suppose \(X\) follows a binomial distribution with parameters \(n\) and \(p\), where \(0 < p < 1\). If \(\frac{P(X=r)}{P(X=n-r)}\) is independent of \(n\) for every \(r\), then \(p\) is equal toTS EAMCET 2012 Medium
- The area (in square units) of the region bounded by the curves \(x=y^2\) and \(x=3-2 y^2\) isTS EAMCET 2011 Medium
- If \(m\) and \(\sigma^2\) are the mean and variance of the random variable \(X\), whose distribution is given by

ThenTS EAMCET 2009 Medium
More PYQs from TS EAMCET
- An element consists of a mixture of three isotopes \(A\), \(B\) and \(C\) of masses \(m_1, m_2\) and \(m_3\) respectively. If the relative abundances of the three isotopes \(A, B\) and \(C\) is in the ratio \(2: 3: 5\), the average mass of the element isTS EAMCET 2024 Medium
- If \(\theta\) is the acute angle between the lines joining the origin to the points of intersection of the curve \(x^2+x y+y^2+x\) \(+3 y+1=0\) and the straight line \(x+y+2=0\) then \(\cos \theta=\)TS EAMCET 2023 Easy
- \(\int_0^\pi \frac{1}{1+\sin x} d x\) is equal toTS EAMCET 2009 Medium
- If and , thenTS EAMCET 2020 Easy
- If \(f(x)=\left\{\begin{array}{c}x^2\left|\cos \frac{\pi}{x}\right|, x \neq 0 \\ 0, x=0\end{array}\right.\), then at \(x=2, f(x)\) isTS EAMCET 2025 Medium
- The radius of nucleus of mass number 27 is \(R\). Which of the following is true about a nucleus whose radius is \(2 \mathrm{R}\) ?TS EAMCET 2023 Easy