List of top Questions asked in KCET

If \( y = a \sin^3 t \), \( x = a \cos^3 t \), then \( \frac{dy}{dx} \) at \( t = \frac{3\pi}{4} \) is:
The derivative of \( \sin x \) with respect to \( \log x \) is:
If \( A \) is a square matrix of order \( 3 \times 3 \), \( \det A = 3 \), then the value of \( \det(3A^{-1}) \) is:
The value of \( \int_{-1}^1 \sin^5 x \cos^4 x \, dx \) is:
If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
Let \( A = \{a, b, c\} \), then the number of equivalence relations on \( A \) containing \( (b, c) \) is:
If \( B = \begin{bmatrix} 1 & 3 \\ 2 & \alpha \end{bmatrix} \) is the adjoint of a matrix \( A \) and \( |A| = 2 \), then the value of \( \alpha \) is:
A and B are two sets having 3 and 6 elements respectively. Consider the following statements: - Statement (I): Minimum number of elements in \( A \cup B \) is 3 - Statement (II): Maximum number of elements in \( A \cap B \) is 3 Which of the following is correct?
If \( A = \{ x : x \text{ is an integer and } x^2 - 9 \geq 0 \} \), \[ B = \{ x : x \text{ is a natural number and } 2 \leq x \leq 5 \}, \quad C = \{ x : x \text{ is a prime number} \leq 4 \} \] Then \( (B - C) \cup A \) is:
The system of equations \( 4x + 6y = 5 \) and \( 8x + 12y = 10 \) has:
A die has two faces each with number '1', three faces each with number '2' and one face with number '3'. If the die is rolled once, then \(P(1 \text{ or } 3)\) is:
The function \( f(x) = \tan x - x \)
Consider the following statements: Statement (I): In a LPP, the objective function is always linear. Statement (II): In a LPP, the linear inequalities on variables are called constraints. Which of the following is correct?

Which of these options is true in the context of the below diagram of pollen grain?


 

When pollen grains of a flower of plant pollinate the stigma flower of another plant, it is called
Fusion of a male gamete with the central cell in the embryo sac of an angiosperm is called
Choose the correct statement from the following:
Choose the correct sequence of sperm transport during ejaculation
Read the given statements and choose the correct option: Statement I: Gemmae are green unicellular sexual buds which develop in receptacles called gemma cups. Statement II: Protonema develops directly from a spore
In which of the following, HIV replicates and produces its progeny viruses?
Out of the following options, identify which one is NOT a natural method of contraception?
When a change in the gene frequency of population occurs by chance, it is called
Darwin’s finches represent one of the best examples of ____
Choose the correct sequence of steps involved in decomposition

The graph showing the concept of activation energy of enzyme is given below. Observe the graph and choose the correct option for M and N.