Mathematics Tes...

Distance of the plane \(\overrightarrow{\mathrm{r}} \cdot(2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}})=12\), from the origin is:

If \(f(x)=3 x^{2}-5 x+p\) and \(f(0)\) and \(f(1)\) are opposite in sign, then which of the following is correct?

Find the two-hundredth term, a₂₀₀ of the sequence: 2, 5, 8, 11, ___.

What is the solution of the differential equation \(\cos \left(\frac{{dx}}{{dy}}\right)-{a}=0\)? (Where \(a\) is an arbitrary constant.)

Let \(\mathrm{R}\) be the relation in the set \(\mathrm{N}\) given by \(\mathrm{R}=\{(a, b): a=b-2, b>6\} .\) Choose the correct answer.

In the given circle with centre X, XY \(\perp\) AB. Which of the following options is always true?

Find the values of X for the quadratic equation given below:-

${(X+1)}^2+4X+7=0$

How many three- digits numbers are there which are divisible by 9.

The curve represented by the equations

\(x=3(\cos t+\sin t)\)

\(y=4(\cos t-\sin t)\) is:

The perpendicular distance between the straight lines \(6 x+8 y+15=0\) and \(3 x+4 y+9=0\) is