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List of top Mathematics Questions on Matrices asked in MHT CET

A spherical iron ball \( 10 \, \text{cm} \) in radius is coated with a layer of ice of uniform thickness that melts at a rate of \( 50 \, \text{cm}^3/\text{min} \). When the thickness of ice is \( 15 \, \text{cm} \), then the rate at which the thickness of ice decreases is:
Let the foot of the perpendicular from the point \( (1, 2, 4) \) on the line \( \frac{x+2}{4} = \frac{y-1}{2} = \frac{z+1}{3} \) be \( P \). Then the distance of \( P \) from the plane \( 3x + 4y + 12z + 23 = 0 \) is: