TS EAMCET · Maths · Ellipse
An ellipse passing through \((4 \sqrt{2}, 2 \sqrt{6})\) has foci at \((-4,0)\) and \((4,0)\). Then, its eccentricity is
- A \(\sqrt{2}\)
- B \(\frac{1}{2}\)
- C \(\frac{1}{\sqrt{2}}\)
- D \(\frac{1}{\sqrt{3}}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
The \(y\)-coordinate of foci is zero \(\therefore\) Major axis is on \(\mathrm{X}\)-axis \[ \therefore \quad \text { ae }=4 \] Let, equation of ellipse be…
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 \(\int \frac{\sqrt{2} d x}{\cos x \sqrt{\sin 2 x}}=f(x)+c\), then \(f(x)=\)TS EAMCET 2019 Easy
- If \(f(x)=\left\{\begin{array}{cc}\frac{\sqrt{1+a x}-\sqrt{1-a x}}{x}, & -1 \leq x < 0 \ \frac{x^2+2}{x-2}, & 0 \leq x \leq 1\end{array}\right.\) is continuous on \([-1,1]\), then \(a=\)TS EAMCET 2018 Easy
- Let \(f(x)=1-x, g(x)=\frac{1}{1-x}, h(x)=\frac{1}{x}\) be three functions, for \(x \neq 0\), 1. If a function \(F(x)\) satisfies \(f(F(h(x)))=g(x)\), thenTS EAMCET 2022 Medium
- \(\operatorname{Tan}^{-1} \frac{3}{5}+\operatorname{Tan}^{-1} \frac{6}{41}+\operatorname{Tan}^{-1} \frac{9}{191}=\)TS EAMCET 2025 Medium
- The number of real values of \(\alpha\) for which the pair of lines represented by \(\left(\alpha^2+12|\alpha|\right) x^2+6 x y+(18-21|\alpha|) y^2=0\) are at right angles to each other, isTS EAMCET 2022 Medium
- Let A and B be two events in a random experiment. If \(\mathrm{P}(\mathrm{A} \cap \overline{\mathrm{B}})=0.1\), \(\mathrm{P}(\overline{\mathrm{A}} \cap \mathrm{B})=0.2\) and \(\mathrm{P}(\mathrm{B})=0.5\) then \(\mathrm{P}(\overline{\mathrm{A}} \cap \overline{\mathrm{B}})=\)TS EAMCET 2025 Medium
More PYQs from TS EAMCET
- The difference of the tangents of the angles which the lines \(\left(\tan ^2 \alpha+\cos ^2 \alpha\right) x^2-2 x y \tan \alpha\) \(+\left(\sin ^2 \alpha\right) y^2=0\) make with the \(X\)-axis isTS EAMCET 2020 Medium
- A solid sphere and a thin uniform circular disc of same radius are rolling down an inclined plane without slipping. If the acceleration of the sphere is \(3 \mathrm{~ms}^{-2}\), then the acceleration of the disc isTS EAMCET 2025 Medium
- In a bcc lattice having the edge length of \(200 \mathrm{pm}\), the cation has the radius of \(70 \mathrm{pm}\). The radius ratio of \(\frac{r^{+}}{r^{-}}\)is (Given, \(\sqrt{2}=1.4, \sqrt{3}=1.7\) and \(\sqrt{6}=2.4\) )TS EAMCET 2020 Easy
- \(\hat{i}-2 \hat{j}+\hat{k}, 2 \hat{i}+\hat{j}-\hat{k}, \hat{i}-\hat{j}-2 \hat{k}\) are the position vectors of the vertices \(A, B, C\) of a triangle \(A B C\) respectively. If \(D\) and \(E\) are the mid points of \(B C\) and \(C A\) respectively, then the unit vector along \(\overrightarrow{D E}\) isTS EAMCET 2024 Medium
- Determine \(V_{C E}\) in the following silicon based transistor circuit
TS EAMCET 2018 Hard - \(\lim _{x \rightarrow 1} \frac{(2 x-3)(\sqrt{x}-1)}{2 x^2+x-3}=\)TS EAMCET 2023 Easy