Application of ...

If an error of $$k\%$$ is made in measuring the radius of a sphere, then percentage error in its volume is

If the ratio of base radius and height of a cone is 1:2 and percentage error in radius is $$\lambda$$ %, then the error in its volume is

If $$T=2\pi \sqrt {\dfrac {l}{g}}$$, then relative errors in T and l are in the ratio

If the percentage error in the edge of a cube is 1, then error in its volume is

In a $$\Delta ABC$$ if sides a and b remain constant such that $$\alpha$$ is the error in C, then relative error in its area is

The circumference of a circle is measured as $$56$$ cm with an error $$0.02$$ cm. The percentage error in its area is

In a $$\Delta ABC$$ the sides b and c are given. If there is an error $$\Delta A$$ in measuring angle A, then the error $$\Delta a$$ in side a is given by

If the percentage error in measuring the surface area of a sphere is $$\alpha$$ %, then the error in its volume is

If an error of $$1^o$$ is made in measuring the angle of a sector of radius $$30 \ cm$$, then the approximate error in its area is

A line L is perpendicular to the curve $$\displaystyle  y = \dfrac {x^2}{4} - 2$$ at its point P and passes through (10, -1). The coordinates of the point P are