An aeroplane flying with uniform speed horizontally one kilometer above the ground is observed at an elevation of 60⁰. After 10 seconds if the elevation is observed to be 30⁰, then the speed of the plane (in km/hr) is:

Observe the following statements :<br>A : Integrating factor of (dy/dx) + y = x² is e^x<br>R :Integrating factor of (dy/dx) + P(x) y = Q(x) is e^∫p(x)dx.

Then the true statement among the following is

The circumference of a circle is measured as 56 cm with an error 0,02 cm. The percentage error in its area is<br>

The angle between the curves xy=4 and x²-y²=15 at the point (-4, -1) is

 If the rate of change in y=2x³+3x²-30x+7 is 6 times the rate of change in x, then x=

If x is real, the maximum value of 3x²+9x+17/3x²-9x+17 is

If there is a possible error of 0.02 cm in the measurement of the diameter of a spare then the possible percentage error in its volume when the radius 10 cm is

The maximum value of x⁴+3x³-2x²-9x+6 is

The points on the curve y=x²+√1-x² at which the tangent is perpendicular to x-axis are

If an error of 0.02cm is made while   measuring the radius 10cm of a sphere, then the error in the volume is