Which of the following equations can be formed starting with x - 0-a- 2x - 1 - - 1 -b- x- 2 - 5 - 7-c- 3x - 1 - - 1 -d- 3x - 1 - 1 - Maths Q-A

Explanation for the correct option:Option (c): Consider [ 3x 1 = 1 ].[ 3x 1 = 1; ⇒ 3x=0; ⇒ x=0 ]Hence, option (c) is correct.Explan ...

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Standard VI

Mathematics

Solution of an Equation

Which of the ...

Question

Which of the following equations can be formed starting with $x = 0$ ?
(a) $2 x + 1 = - 1$
(b) $\begin{array}{rcl} \frac{x}{2} + 5 & = & 7 \end{array}$
(c) $\begin{array}{rcl} 3 x - 1 & = & - 1 \end{array}$
(d) $3 x - 1 = 1$

(a)

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(b)

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(c)

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(d)

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Solution

The correct option is C
(c)

Explanation for the correct option:
Option (c): Consider $\begin{array}{rcl} 3 x - 1 & = & - 1 \end{array}$ .
$\begin{array}{rcl} 3 x - 1 & = & - 1 \\ \Rightarrow & 3 x = 0 \\ \Rightarrow & x = 0 \end{array}$
Hence, option (c) is correct.
Explanation for the incorrect options:
Option (a): Consider $2 x + 1 = - 1$ .
$\begin{array}{rcl} 2 x + 1 & = & - 1 \\ \Rightarrow & 2 x = - 2 \\ \Rightarrow & x = - 1 \end{array}$
Therefore, option (a) is incorrect.
Option (b): Consider $\begin{array}{rcl} \frac{x}{2} + 5 & = & 7 \end{array}$ .
$\begin{array}{rcl} \frac{x}{2} + 5 & = & 7 \\ \Rightarrow & \frac{x}{2} = 2 \\ \Rightarrow & x = 4 \end{array}$
Therefore, option (b) is incorrect.
Option (d): Consider $3 x - 1 = 1$ .
$\begin{array}{rcl} 3 x - 1 & = & 1 \\ \Rightarrow & 3 x = 2 \\ \Rightarrow & x = \frac{2}{3} \end{array}$
Therefore, option (d) is incorrect.
Therefore, options (a), (b), and (d) are incorrect.
Hence, option (c) is correct.

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Question 15

Which of the following equations cannot be formed using the equation x = 7

(a) 2x + 1 = 15
(b) 7x - 1 = 50
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Which of the following equations can be formed starting with x = 0?

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and $f_{4} (x) = f_{2} (f_{1} (x)), i f x < 0 f_{2} (f_{1} (x)) - 1, i f x \geq 0$

$\begin{matrix} L i s t - I & L i s t - I I P . & f_{2} i s & 1. & Onto but not one-one Q . & f_{3} i s & 2. & Neither continuous nor one-one R . & f_{4} i s & 3. & Differentiable but not one-one S . & f_{2} o f_{1} i s & 4. & Continuous and one-one \end{matrix}$

" $\begin{matrix} T r i g o n o m e t r i c E q u a t i o n s & G e n e r a l S o l u t i o n s 1. s i n^{2} θ = s i n^{2} x & A . 2 n π \pm α 2. c o s^{2} θ = c o s^{2} x & B . n π + (- 1)^{n} α 3. t a n^{2} θ = t a n^{2} x & C . n π \pm α \end{matrix}$

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Which of the following equations can be formed starting with x=0? (a) 2x+1=-1 (b) x2+5=7 (c) 3x-1=-1 (d) 3x-1=1

Which of the following equations can be formed starting with $x = 0$ ?
(a) $2 x + 1 = - 1$
(b) $\begin{array}{rcl} \frac{x}{2} + 5 & = & 7 \end{array}$
(c) $\begin{array}{rcl} 3 x - 1 & = & - 1 \end{array}$
(d) $3 x - 1 = 1$