## S-3-26 In an equilateral triangle ABC, D

In an equilateral triangle ABC, D is a point on side BC such that 4BD = BC. Prove that 16AD² = 13BC². Solution 26: In equilateral ΔABC 4BD=BC

## S-3-30 Find the mean, mode and median

Find the mean, mode and median of the following frequency distribution :

## S-3-29 Water is flowing at the rate of 15 km/hour

Water is flowing at the rate of 15 km/hour through a pipe of diameter 14 cm into a cuboidial pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise by 21 Read More …

## S-3-28 In the given figure, three circle each of radius 3.5 cm

In the given figure, three circle each of radius 3.5 cm are drawn in such a way that each of them touches the other two. Find the area of shaded region enclosed between these three circles. [Use π = 22/7] Solution : 28

## S-3-27 If A+B = 90°, Prove that

If A+B = 90°,  Prove that

## S-3-25 Draw the graphs of the following equations:

Draw the graphs of the following equations: x + y = 5, x – y = 5 (i) Find the solution of equation from the graph. (ii) Shade the triangular region formed by the lines and y-axis. Or Find the solution Read More …

## S-3-24 If the polynomial x4 − 6x³ + 16x² − 25x + 10 is

If the polynomial x4 − 6x³ + 16x² − 25x + 10 is divided by (x² − 2x + k) the reminder comes out to be x+a, find k and a.

## S-3-23 Use Euclid’s Division Algorithm to show that

Use Euclid’s Division Algorithm to show that the square of any positive integer is either of the form 3m or 3m+1 for some integer m. Or Show that exactly one of the numbers n, n + 2 or n + 4 is divisible Read More …

## S-3-19 Construct a triangle ABC in which BC = 8 cm,

Construct a triangle ABC in which BC = 8 cm, B = 45° and C= 30°. Construct another triangle similar to ΔABC such that its sides are 3/4 of the corresponding sides of ABC. Or Draw a triangle ABC with side BC Read More …

## S-3-22 Two dice are thrown simultaneously.

Two dice are thrown simultaneously. What is the probability that a) 5 will not come up on either of them? b) 5 will come up on at least one? c) 5 will come up on at both Dice? Solution 22: Elementary Events are Read More …

## S-3-21 The median of distribution given below is 14.4.

The median of distribution given below is 14.4. Find the values of and , if the sum of frequency is 20.

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