Which digital platform was integrated with the National

If the homogeneous system of equations

x + y + z = 0

2x + 3y + 4z = 0

has a non-trivial solution, then the value of k is:

3x + 5y + kz = 0

Marked price of an article is Rs. M, as it is marked by a certain price. Find the value of M.

In the expansion of (1 + x)¹⁵ , what is the ratio of the coefficients of the 6th term to the 9th term?

Find the general solution of cos 3x = 1/2:

If p = 50 - q - r and pq + r(q + p) = 816 then find the value of (p² + q² + r²) .

If log 32 = 3.816, then the value of log 16 is:

What is the value of 8 √ 4 × 16 √ 4? 

If sin x + sin 2x = 1 and cos x + cos 2x = 0, find x.