Mathematics Tes...

The equation of the plane which passes through the \(x\)-axis and perpendicular to the line \(\frac{(x-1)}{\cos \theta}=\frac{(y+2)}{\sin \theta}=\frac{(z-3)}{0}\) is:

If the sum of n terms of an AP is 300, first terms is 10 and last term is 50 then n is equal to ?

If \(X\) and \(Y\) are two sets such that \(n(X)=17, n(Y)=23\) and \(n(X \cup Y)=38,\) find \(n(X \cap Y)\)

The argument of the complex number \(\left(\frac{i}{5}+\frac{5}{i}\right)\) is:

If the equation \(6 x^2+4 x-a=0\) has equal roots, then choose the correct option.

If \(p=\sec \theta-\tan \theta\) and \(q=\operatorname{cosec} \theta+\cot \theta\), then what is \(p+q(p-1)\) equal to?

Find the general solution of given differential equation \(\frac{x d y}{d x}+3 y=4 x^3 ?\)

It is given that \(x+iy =\frac{2+3 i}{2-3 i}\) then the value of \(x^{2}+y^{2}\) is:

Find two consecutive odd positive integers, sum of whose squares is \(290\).

If \(\mathrm{A}=\{1,4\}, \mathrm{B}=\{2,3\}, \mathrm{C}=\{3,5\}\) then \((\mathrm{A} \times \mathrm{B}) \cap(\mathrm{A} \times \mathrm{C})\) is equal to: