Find the eccentricity of the ellipse x²/100 + y²/36 = 1.
Answer and explanation
Correct answer: B.
- Step 1: Here a² = 100 and b² = 36, so c² = a² − b² = 64, c = 8. Step 2. e = c/a = 8/10. **Answer: . Why not the others:** is what you get if you use b/a. is what you get if you use c/b. is what you get if you give e².
Practise more Calculus, Algebra and Trigonometry.
Free questions with an explanation for every one, and full timed ECAT Pakistan mock tests.
More Calculus, Algebra and Trigonometry questions
- Find the eccentricity of the hyperbola x²/25 − y²/144 = 1.
- Find a × b for a = 2i + 0j + 2k and b = -3i − 1j − 2k.
- Solve dy/dx = 6x with y(0) = 3. What is y(3)?
- Evaluate the integral of 2x(x² + 1)^3 from x = 0 to x = 1.
- How many permutations of 10 objects taken 2 at a time are there?
- If and are the roots of , find .