`square` : 24 : : 3 : 8

□ : 24 : : 3 : 8 - Mathematics

$□$ : 24 : : 3 : 8

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9 : 24 : : 3 : 8

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अध्याय 3: Ratio and Proportion - Exercise 3.3 [पृष्ठ ५८]

अध्याय 3 Ratio and Proportion
Exercise 3.3 | Q 1. (ii) | पृष्ठ ५८

Using the properties of proportion, solve for x, given $\frac{x^{4} + 1}{2 x^{2}} = \frac{17}{8}$ .

If x, y, z are in continued proportion prove that $\frac{{(x + y)}^{2}}{{(y + z)}^{2}} = \frac{x}{z}$

What number must be added to each of the number 16, 26 and 40 so that the resulting numbers may be in continued proportion?

Find the fourth proportion to the following:

3,5 and 15

If ax = by = cz, prove that
$\frac{x^{2}}{y z} + \frac{y^{2}}{z x} + \frac{z^{2}}{x y} = \frac{b c}{a^{2}} + \frac{c a}{b^{2}} + \frac{a b}{c^{2}}$ .

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

Find the fourth proportional to 3, 12, 15

Find the value of x in each of the following proportion:

27 : x : : 63 : 84

Write (T) for true and (F) for false in case of the following:

45 km : 60 km : : 12 h : 15 h

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.