AP EAMCET · Maths · Ellipse
The foci of the ellipse \(9 x^2+25 y^2=225\) are
- A \(( \pm 4,0)\)
- B \(\left( \pm \frac{4}{5}, 0\right)\)
- C \(\left( \pm \frac{12}{5}, 0\right)\)
- D \(\left( \pm \frac{2}{5}, 0\right)\)
Answer & Solution
Correct Answer
(A) \(( \pm 4,0)\)
Step-by-step Solution
Detailed explanation
Ellipse is \(9 x^2+25 y^2=225\) \[ \begin{aligned} & \Rightarrow \frac{x^2}{25}+\frac{y^2}{9}=1, a=5, b=3 \\ & \therefore e=\sqrt{1-\frac{b^2}{a^2}}=\sqrt{1-\frac{9}{25}}=\frac{4}{5} \end{aligned} \] \(\therefore\) Foci are \(( \pm a e, 0) \equiv( \pm 4,0)\)
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
- The line passing through the points \((1,1,-1)\) and \((3,-1,0)\) makes an angle of \(\operatorname{Tan}^{-1}\left(\frac{1}{\sqrt{8}}\right)\) with plane \(\sqrt{\lambda} x+3 y+6 z=17\). Then \(\lambda=\)AP EAMCET 2020 Easy
- If thenAP EAMCET 2022 Medium
- The point which lies on the tangent drawn to the curve \(x^4 e^y+2 \sqrt{y+1}=3\) at the point \((1,0)\) isAP EAMCET 2024 Medium
- In a triangle ABC , if \(\mathrm{BC}=5, \mathrm{CA}=6, \mathrm{AB}=7\), then the length of the median drawn from B onto AC isAP EAMCET 2024 Easy
- If \(y=\sqrt{2 x+\cos ^2\left(2 x+\frac{\pi}{4}\right)}\), then \(\frac{d y}{d x}\) at \(x=\frac{\pi}{4}\).AP EAMCET 2020 Easy
- The circumcentre of the triangle with vertices at \((-2,3),(1,-2)\) and \((2,1)\) isAP EAMCET 2018 Medium
More PYQs from AP EAMCET
- In which of the following, Keratin, a fibrous protein is absent?AP EAMCET 2022 Easy
- Box-I contains cards bearing numbers ; Box II contains cards bearing numbers and Box III contains cards bearing numbers . One card is drawn at random from each of the boxes. If be the number on the card drawn from the box, then the probability that is odd is equal toAP EAMCET 2021 Hard
- If the equation \(8 x^2+8 x y+2 y^2+26 x\) \(+13 y+15=0\) represents a pair of parallel straight lines, then the distance
between them is.........AP EAMCET 2021 Easy - A ball moving horizontally with a velocity \(2 \mathrm{~ms}^{-1}\) strikes the bob of a seconds pendulum at rest. If the mass of the bob is equal to the mass of the ball and the collision is perfectly elastic, after collision the bob of the pendulum will raise to a height of
\(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)AP EAMCET 2018 Hard - Observe the following statements.
I. Sucrose has glycosidic linkage.
II. Cellulose is present in both plants and animals.
III. Lactose contains D-galactose and D-glucose units.
Which of the following statements are correct?AP EAMCET 2016 Easy - Arrange N, S, O and F in order of decreasing electron gain enthalpy.AP EAMCET 2021 Easy