AP EAPCET Question Paper 2021 (Available): Check Previous Year Question Paper with Solution PDF (2023-2013)

AP EAPCET 2021 Questions

• 1.

  If $ r_1 $ and $ r_2 $ are radii of two circles touching all the four circles $$ (x \pm r)^2 + (y \pm r)^2 = r^2, $$ then find the value of $$ \frac{r_1 + r_2}{r}. $$

  • \( \frac{\sqrt{2} + 1}{2} \)
    
  • -
    
  • \( 2\sqrt{2} \)
    
  • \( \frac{3 + \sqrt{2}}{4} \)
    
  View Solution

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• 2.

  The differential equation corresponding to the family of parabolas whose axis is along $x = 1$ is
  Identify the correct option from the following:

  • $\frac{d^2 y}{dx^2} - (x - 1) \frac{dy}{dx} = 0$
  • $(x - 1) \frac{d^2 y}{dx^2} - \frac{dy}{dx} = 0$
  • $(x - 1) \left( \frac{d^2 y}{dx^2} \right) \frac{dy}{dx} - y = 0$
  • $(x - 1) \frac{d^2 y}{dx^2} - dy - y = 0$
  View Solution

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• 3.

  If an electron in the excited state falls to ground state, a photon of energy 5 eV is emitted, then the wavelength of the photon is nearly

  • 748 nm
  • 598 nm
  • 398 nm
  • 248 nm
  View Solution

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• 4.

  The number of ways of dividing 15 persons into 3 groups containing 3, 5 and 7 persons so that two particular persons are not included into the 5 persons group is

  • $\frac{117(11!)}{3!(7!)}$
  • ${15 \choose 5} {10 \choose 3}$
  • $90 \times \frac{13!}{7!}$
  • ${15 \choose 5} {8 \choose 3}$
  View Solution

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• 5.

  The domain and range of a real valued function \( f(x) = \cos (x-3) \) are respectively.

  • \(\mathbb{R} \setminus \{0\}\) and \([-1, 1]\)
  • \(\mathbb{R} \setminus \{0\}\) మరియు \([-1, 1]\)
  • \(\mathbb{R} \setminus \{0\}\) and \([-4, -2]\)
  • \(\mathbb{R}\) and \([-4, -2]\)
    \(\mathbb{R}\) మరియు \([-4, -2]\)
  View Solution