For the following questions answer them individually
The point where the plane x + 3y + 2z − 6 = 0 meets the line joining P (2, 1, 1) and Q (1, 3, − 2) is,
$$\int_{0}^{\frac{\pi}{2}}\sin^{7}x dx $$ is
Laplace transform of $$t \cos (at)$$ is
If two vectors $$\overrightarrow{a} = 3i + 4j - 7k$$ and $$\overrightarrow{b} = Pi - 6j + 3k$$ are perpendicular, the value of $$P$$ is
The arithmetic mean of 12 data point is 79. Later it was found that two data points were wrongly taken as 83 and 68 in place of 78 and 97. The actual mean is
How does cetane number varies with octane number in fuels in IC engines?
The relationship of the shear angle $$\phi = \frac{\pi}{4} - \beta + \frac{\alpha}{2}$$ is as per ('$$\alpha$$' is rake angle and '$$\beta$$' is friction angle)
For a plate with an elliptical hole subjected to tensile stress, $$\sigma$$ as shown in the figure, the maximum tensile stress at point P is
A centrifugal compressor is suitable for which of the following?
The optimum cutting speed for maximum production is (‘n’ is tool constant and ‘Tc ’ is time required to change the tool)