TS EAMCET · Maths · Area Under Curves
If the area bounded by the curves \(y=a x^2\) and \(x=a y^2,(a>0)\) is 3 sq units, then the value of \(a\) is
- A \(\frac{2}{3}\)
- B \(\frac{1}{3}\)
- C 1
- D 4
Answer & Solution
Correct Answer
(B) \(\frac{1}{3}\)
Step-by-step Solution
Detailed explanation
Given curves are \( \begin{aligned} & y=a x^2 \\ & x=a y^2 \end{aligned} \) and Put the value of \(y\) by Eq. (ii) in Eq. (i), 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
- If \(f(x)=\log _{\left(x^2-2 x+1\right)}\left(x^2-3 x+2\right), x \in \mathbb{R}-[1,2]\) and \(x \neq 0\), then \(f^{\prime}(3)=\)TS EAMCET 2025 Medium
- The probability distribution of a random variable \(X\) is given below.
Then the variance of \(X\) isTS EAMCET 2011 Easy - If \(f(x)=\frac{x}{1+x}\) and \(g(x)=f(f(x))\), then \(g^{\prime}(x)\) is equal toTS EAMCET 2014 Easy
- The shortest distance between the lines \(\mathbf{r}=(3 t-4) \hat{\mathbf{i}}-2 \hat{\mathbf{j}}-(1+2 t) \hat{\mathbf{k}}\) and \(\mathbf{r}=(6+s) \hat{\mathbf{i}}+(2-2 s) \hat{\mathbf{j}}+2(\mathfrak{l}+s) \hat{\mathbf{k}}\) isTS EAMCET 2018 Easy
- Assertion : The distance between the points \(p\left(\frac{\pi}{4}\right)\) and \(p\left(\frac{\pi}{3}\right)\) on the hyperbola \(9 x^2+16 y^2=9\) is \[ \frac{1}{2 \sqrt{2}} \sqrt{66-33 \sqrt{2}-9 \sqrt{3}} \] Reason : \(x=a \cosh t, y=b \sin \mathrm{h} t\) are the parametric equations of the hyperbola \(\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\) The correct option among the following isTS EAMCET 2022 Medium
- Let \(A=(2,0)\) and \(B=(0,-2)\). Let \(P\) be any point such that the sum of the distances of \(P\) from \(A\) and \(B\) is 4 . Then the equation of the locus of the point \(P\) isTS EAMCET 2023 Easy
More PYQs from TS EAMCET
- Which of the following molecules/ions can exhibit isomerism:
Here, -di amino ethane.A) Tetrahedral B) Square planar C) Octahedral D) Square planar E) Octahedral TS EAMCET 2018 Hard - The ratio in which \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}+3 \hat{\mathbf{k}}\) divides the join of \(-2 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+5 \hat{\mathbf{k}}\) and \(7 \hat{\mathbf{i}}-\hat{\mathbf{k}}\) isTS EAMCET 2007 Easy
- Observe the following statements
Statement-I: The carbon containing components of photochemical smog are acrolein, methanal and PAN
Statement-II: The number of greenhouse gases in the list given below is 5 \(\mathrm{CH}_4, \mathrm{CO}_2, \mathrm{NO}, \mathrm{H}_2 \mathrm{O}(l), \mathrm{H}_2 \mathrm{O}(g), \mathrm{O}_2, \mathrm{O}_3\)
The correct answer isTS EAMCET 2025 Medium - A long curved conductor carries a current I (I is a vector). A small current element of length \(\mathbf{d} l\), on the wire induces a magnetic field at a point, away from the current element. If the position vector between the current element and the point is \(\mathbf{r}\), making an angle with current element then, the induced magnetic field density; \(\mathbf{d B}\) (vector) at the point is ( \(\mu_0=\) permeability of free space)TS EAMCET 2012 Easy
- Statement (I) : A device in which heat measurement can be made is called calorimeter. Statement (II) : Skating is possible on snow due to the formation of water below the skates. Water is formed due to the increase of temperature and ice melts. Statement (III) : Two bodies at different temperature are mixed in a calorimeter. Total internal energy of the two bodies remains conserved. Which of the following is correct?TS EAMCET 2022 Hard
- The area of the triangle formed by the pair of straight lines \((a x+b y)^2-3(b x-a y)^2=0\) and \(a x+b y+c=0\) isTS EAMCET 2005 Hard