RD Sharma XII Vol 2 (2020, 2021) - GeniusJnr

Curved surface area of a right circular cylinder is 4.4 m². If the radius of the base of the cylinder is 0.7 m, find its height.

Construct line segments whose lengths are:

(i) 4.8 cm
(ii) 12 cm 5 mm
(iii) 7.6 cm

Complete the following table and verify Euler's formula in each case.
 

What is the least number of planes that can enclose a solid? What is the name of the solid?

If the n^th term a_n of a sequence is given by a_n = n² − n + 1, write down its first five terms.

A soft drink is available in two packs-(i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

How many lines can be drawn which are perpendicular to a given line and pass through a given point lying (i) outside it? (ii) on it?

Match the following nets with appropriate solids:

Which among the following are nets for a cube?

Find:
(i) 10th term of the A.P. 1, 4, 7, 10, ...
(ii) 18th term of the A.P. $\sqrt{2}, 3\sqrt{2}, 5\sqrt{2},$ ...
(iii) nth term of the A.P. 13, 8, 3, −2, ...