Mathematics Tes...

The coordinate of the point where the line \(\frac{x+1}{2}=\frac{y+2}{3}=\frac{z+3}{4}\) meets the plane \(x+y+4 z=6\) is

The focal distance of a point on the parabola \(y^{2}=16 x\) whose ordinate is twice the abscissa, is

A bag contains 3 red and 3 white balls. Two balls are drawn one by one. The probability that they are of different colours is

If $f\left(x\right) =x^3 + {ax}^2 + bx + c$ attains it's local minimum at certain negative real number then -

\(\mathrm{A} 4,3,5, \mathrm{B} 0,-2,2\) and \(C(3,2,1)\) are three points. The coordinates of the point at which the bisector of \(b\) meets the side is

If \((9 a, 6 a)\) is a point bounded in region formed by parabola \(y^{2}=16 x\) and \(x=9\), then

If \(\mathrm{A}, \mathrm{B}\) and \(\mathrm{C}\) are three square matrices of the same order such that \(\mathrm{B}=\mathrm{CAC}^{-1}\), then \(\mathrm{CA}^{3} \mathrm{C}^{-1}\) is equal to -

The co-ordinates of the points \(A\) and \(B\) are (2,3,4),(-2,5,-4) respectively. If a point \(P\) moves so that \(P A^{2}-P B^{2}=k\) where \(k\) is a constant, then the locus of \(P\) is

The sum of all the proper divisors of 9900 is