Mathematics Tes...

Find the sum of the series 1 + 4 + 9 +16 + 25 + 36 +......+ 121.

Find the general solution of the differential equation:

What is the angle between the below given lines?

\(\overrightarrow{\mathbf{r}}=3 \hat{\mathbf{i}}+\hat{\mathbf{j}}-2 \hat{\mathbf{k}}+\lambda(\hat{\mathbf{i}} - \hat{\mathbf{j}}-2 \hat{\mathbf{k}})\) and \(\overrightarrow{\mathbf{r}}=3 \hat{\mathbf{i}}-\hat{\mathbf{j}}-56 \hat{\mathbf{k}}+\mu(3 \hat{\mathbf{i}}-5 \hat{\mathbf{j}}-4 \hat{\mathbf{k}})\)

\(ABCD\) is a quadrilateral, \(E\) is the point of intersection of the line joining the midpoints of the opposite sides. If \(O\) is any point and \(\overrightarrow{ OA }+\overrightarrow{ OB }+\overrightarrow{ OC }+\) \(\overrightarrow{ OD }=x \overrightarrow{O E}\), then \(x\) is equal to:

If \(R=\left\{(x, y): x, y \in Z, x^{2}+3 y^{2} \leq 8\right\}\) is a relation on the set of integers \(Z\), then the domain \(R^{-1}\) is:

Find the root of equation x² + kx + 2 = 0 where, k is the arithmetic mean of root of equation x² + 6x + 8 = 0. 

If \(e^{\theta \phi}=c+4 \theta \phi,\) where \(c\) is an arbitrary constant and \(\phi\) is a function of \(\theta,\) then what is \(\phi \mathrm{d} \theta\) equal to?

Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined as \(f(x)=x^{4}\). Choose the correct answer.

How many ways 6 rings can be worn in 4 fingers such that no fingers are without ring?