Mathematics Tes...

The domain of the function f(x) = √1 - x + sin^–1 3x is:

PSQ is a focal chord of parabola y² = 8x. If SP = 6, the SQ =

If y = x + c is a tangent to the circle x² + y² = a², then the coordinates of point of contact should be

Find the sum of the infinite series:

The values of a for which( $a^2-1$)$x^2$ + 2(a-1)x + 2 is positive for any x are

The focus of the parabola \(\mathrm{y}=2 \mathrm{x}^{2}+\mathrm{x}\) is

If \(\sin \theta+2 \cos \theta=1\), where \(0 \leq \theta \leq \pi / 2\), what is \(2 \sin \theta-\cos \theta\) equal to?

The expression cos2b - cos 2a/sin2b - sin2a is equal to:

If the $7^{th}$ term of a harmonic progression is 8 and the $8^{th}$ term is 7, then its ${15}^{th}$term is

If a, b, c, d are positive, then