CUET Level II JEE MOCK TEST -4 Maths (2025-2026)

If f:R→R and g:R→R are given by f(x)=cosx and g(x)=3x2, then gof(x) is:

• cos(3x)
• 3x²

• 3(cos(x))²

• 3sin(x)²

For f:R→R defined as f(x)=x4, choose the correct answer:

• f is one-one onto

• f is many-one onto

• f is one-one but not onto

• f is neither one-one nor onto

The domain of sin⁻¹ is:

• [-1, 1]
• (-1, 1)
• [1, 2]
• [0, 2]

If sin⁻¹x=y, then the range of y is:

• [-π, 0]
• [-π/2, π/2]
• [0, π]
• [0, 2π]

If A and B are invertible matrices of the same order, then (AB)⁻¹ is equal to:

• (AB)⁻¹ = A⁻¹B⁻¹
• (AB)⁻¹ = A⁻¹B
• (AB)⁻¹ = BAB
• (AB)⁻¹ = B⁻¹A⁻¹

A square matrix A=[aij​] is said to be symmetric if:

• a_ji​=−a_ij​

• A=A′
  

• All diagonal elements are zero

• A=−A′
  

A square matrix A is said to be singular if:

• The matrix is symmetric.
• The matrix has an inverse.
• The matrix has at least one non-zero element.
• The determinant of the matrix is zero.

If A = kB, where A and B are square matrices of order n, then ∣A∣=:

• k² |B|

• kⁿ |B|

• k |B|
• |A| = k |B|

A function f is continuous at c if the function is defined at x=c and if:

• The function is defined for all x in the domain.
• The function has a maximum at x=c.
• The function is differentiable at x=c.
• The limit of f(x) as x approaches c equals f(c).

The derivative of logx (to base e) with respect to x is:

• log(x)
• 1
• 1/x
• x