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Algebraic Expressions in Perimeter Formulae

The perimeter...

Question

Question 15

The perimeter of the triangle shown in the figure below is:

(a) 2x + y

(b) x + 2y

(c) x + y

(d) 2x - y

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Solution

Option (a).

Perimeter is defined as the total sum of length of all the bounding sides of a planar object.

Length of sides of the given triangle are x, x and y.

Hence, the perimeter of the triangle = x + x + y = 2x + y

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Question 15

The perimeter of the triangle shown in the figure below is:

(a) 2x + y

(b) x + 2y

(d) 2x - y

Which of the following is correct unchanging relation of perimeter of rectangle with length x and breadth as y?

y = \frac{2^{x}}{1 + 2^{x}}

In the reaction

$S + \frac{3}{2} O_{2} \to S O_{3} + 2 x k J$ and $S O_{2} + \frac{1}{2} O_{2} \to S O_{3} + y k J$

Heat of formation of $S O_{2}$ is

tan α = \frac{1}{\sqrt{x (x^{2} + x + 1)}}, tan β = \frac{\sqrt{x}}{\sqrt{x^{2} + x + 1}}

tan γ = \sqrt{x^{- 3} + x^{- 2} + x^{- 1}}

x \neq 0

α + β

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