TS EAMCET Question Paper 2021 (Available): Check Previous Year Question Paper with Solution PDF (2023-2015)

TS EAMCET 2021 Questions

• 1.

  Choose the incorrect pairs. \[ \begin{aligned} \text{I. Protandry} &- \text{Datura} \\ \text{II. Herkogamy} &- \text{Gloriosa}\\ \text{III. Self sterility} &- \text{Abutilon} \\ \text{IV. Protogyny} &- \text{Sunflower} \end{aligned} \]

  • I and II
    
  • I and IV
    
  • II and III
    
  • III and IV
  View Solution

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• 2.

  If \[ x=\sin2\theta+\sin3\theta,\qquad y=\cos2\theta-\cos3\theta \] then \[ \frac{d^2y}{dx^2} = \]

  • \(\frac{35+6\cos\theta}{(2\cos2\theta+3\cos3\theta)^3}\)
  • \(\frac{19+6\cos\theta}{(2\cos2\theta+3\cos3\theta)^3}\)
  • \(\frac{35+6\cos5\theta}{(2\cos2\theta+3\cos3\theta)^3}\)
  • \(\frac{19+6\cos5\theta}{(2\cos2\theta+3\cos3\theta)^3}\)
  View Solution

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• 3.

  The probability distribution of a random variable \(X\) is given below. Then, the mean of \(X\) is 

  \(X=x_i\)	\(0\)	\(1\)	\(2\)
  \(P(X=x_i)\)	\(3k^2\)	\(2k^2\)	\(k^2+k\)

  • \(\dfrac79\)
    
  • \(\dfrac59\)
    
  • \(\dfrac{10}{9}\)
    
  • \(\dfrac{13}{9}\)
  View Solution

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• 4.

  Consider the following:

  Assertion (A): \(1^2 + 3^2 + 5^2 + \cdots + 39^2 = 10760\)

  Reason (R): The sum of the squares of the first \(n\) odd numbers is \[ \frac{n(4n^2-1)}{3}. \]

  The correct answer is:

  • Both A and R are correct and R is the correct explanation of A
    
  • Both A and R are correct and R is not correct explanation of A
    
  • A is correct, but R is not correct
    
  • A is incorrect, but R is correct
  View Solution

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• 5.

  If \(A\) and \(B\) are the entire domain and range, respectively, of the real-valued function \[ f(x)=\cos^{-1}\!\left(\frac{2-x^2}{2+x^2}\right), \] then \(A\cap B=\)

  • \( [0, \sqrt{2}) \)
    
  • \( [0, \frac{\pi}{2}) \)
    
  • \( [0, \pi) \)
    
  • \( \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) \)
  View Solution