5 : □ : : 10 : 8 : : 15 : □

5 : `square` : : 10 : 8 : : 15 : `square`

Fill in the Blanks

5 : 4 : : 10 : 8 : : 15 : 12

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Chapter 3: Ratio and Proportion - Exercise 3.3 [Page 58]

Chapter 3 Ratio and Proportion
Exercise 3.3 | Q 1. (iii) | Page 58

If `x = (sqrt(a + 3b) + sqrt(a - 3b))/(sqrt(a + 3b) - sqrt(a - 3b))`, prove that: 3bx² – 2ax + 3b = 0.

If x and y be unequal and x : y is the duplicate ratio of x + z and y + z, prove that z is mean proportional between x and y.

Check whether the following numbers are in continued proportion.

9, 12, 16

Find the fourth proportional to:
x³ - y², x⁴ + x²y²+ y⁴, x - y.

If a : b = c : d, show that (a - c) b² : (b - d) cd = (a² - b² - ab) : (c² - d² - cd).

Find the value of x in the following proportions : 10 : 35 = x : 42

Find the value of x in the following proportions : x : 50 :: 3 : 2

The angles of a triangle are in the ratio 3 : 1 : 2. The measure of the largest angle is

If (a + 2 b + c), (a – c) and (a – 2 b + c) are in continued proportion, prove that b is the mean proportional between a and c.

The quarterly school fee in Kendriya Vidyalaya for Class VI is Rs. 540. What will be the fee for seven months?