Q311. What is the value of \(ln(\frac{a^2}{bc}) +ln(\frac{b^2}{ac}) + ln(\frac{c^2}{ba}) ?\)

Q312. Consider following statements about determinant of a matrix:
Statement I: Only square matrices have determinants.
Statement II: For a matrix \(A\), \(|A|\) is read as determinant of \(A\) and not, as modulus of \(A\).

Q313. Identify the sentence with the correct subject-verb agreement.

Q314. Find the correct answer for \(\int \int [x^2 + y^2 – a^2 ] dx \: dy\), where, \(x\) and \(y\) varies from \(–a\) to \(a\).

Q315. Choose a synonym for "vivid."

Q316. What is the key feature of a Complaint Letter?

Q317. What is the purpose of the body of a letter or email?

Q318. If \( \overline{u} = (1, 2, 1) \) and \( \overline{v} = (2, 1, 1) \) then \( \overline{u} \cdot \overline{v} = _{------------}\)

Q319. The equation for the circle with center \((1,\:2)\) and radius of \(\sqrt{5}\) is \(_{--------}\).

Q320. Find the vector product \((a \times b)\) of the two given vectors: \(a = 2i + 3j + 4k\), \(b = 3i + 5j\).