Mathematics Tes...

The Cartesian equation of a line are \(\frac{x-2}{2}=\frac{y+1}{3}=\frac{z-3}{-2}\). What is its vector equation?

Which term of the GP 2, 6, 18, 54, ..... is 4374?

If \(\mathrm{X}=\left\{8^{\mathrm{n}}-7 \mathrm{n}-1, \mathrm{n} \in \mathbf{N}\right\}\) and \(\mathrm{Y}=49(\mathrm{n}-1), \mathrm{n} \in \mathbf{N},\) then: \((\) given \(\mathrm{n}>1)\)

Find the conjugate of \(\frac{\mathrm{i}+3}{2 \mathrm{i}+1}\).

The quadratic equation whose roots are \(7+\sqrt{3}\) and \(7-\sqrt{3}\) is:

If \(\theta\) is an acute angle such that \(\sec ^2 \theta=3\), then the value of \(\frac{\tan ^2 \theta-\operatorname{cosec}^2 \theta}{\tan ^2 \theta+\operatorname{cosec}^2 \theta}\) is:

The differential form of the equation \(y ^2+( x - b )^2= c\)

What is one of the square roots of \(3+4 i\), where \(i=\sqrt{-1} \)?

One of the roots of the quadratic equation \(a^2 x^2-3 a b x+2 b^2=0\) is:

Let \(f: R-\left\{-\frac{4}{3}\right\} \rightarrow R\) be a function as \(f(x)=\frac{4 x}{3 x+4}\). The inverse of \(f\) is map \(g:\) Range \(f \rightarrow R-\left\{-\frac{4}{3}\right\}\) given by: