CBSE Class class-10 Mathematics (Standard) — Very Short Answer Questions

If $\alpha, \beta$ are the zeroes of the polynomial $p(x) = x^2 - 3x - 1$, then find the value of $\frac{1}{\alpha} + \frac{1}{\beta}$.

In $\Delta ABC$, $DE \parallel BC$. If $AD = x$, $DB = x - 2$, $AE = x + 2$ and $EC = x - 1$, then find the value of x.

OR In the figure given above, $\Delta ABC \sim \Delta XYZ$, then find the values of x and y.

The coordinates of the centre of a circle are $(x-7, 2x)$. Find the value(s) of 'x', if the circle passes through the point $(-9, 11)$ and has radius $5\sqrt{2}$ units.

If $\tan \theta = \frac{24}{7}$, then find the value of $\sin \theta + \cos \theta$.

OR If $\cot \theta = \frac{7}{8}$, then find the value of $\frac{(1+\sin\theta)(1-\sin\theta)}{(1+\cos\theta)(1-\cos\theta)}$.

Two concentric circles are of radii 5 cm and 4 cm. Find the length of the chord of the larger circle which touches the smaller circle.

What is the distance covered to pick up the first potato and drop it in bucket ?

What is the distance covered to pick up the second potato and drop it in bucket ?

Find the length of the wire from the point 'O' to the top of section 'B'.