Consider the equation -3 x 2- c -0- where c -0 - Then the roots of the equation areA- Real and equal in magnitudeB- Real and equalC- Non realD- None of these

The correct option is A Real and equal in magnitude 3x^2+c=0 ⇒ 3x^2=c ⇒ x=±√( c3) , (c gt;0) nbsp; nbsp; So, the roots of the equation are equal in ma ...

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Standard XIII

Mathematics

Nature of Roots

Consider the ...

Question

Consider the equation $- 3 x^{2} + c = 0$ , where $c > 0.$ Then the roots of the equation are

Real and equal in magnitude

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Real and equal

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Non real

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None of these

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Solution

The correct option is A Real and equal in magnitude
$- 3 x^{2} + c = 0$
$\Rightarrow 3 x^{2} = c$
$\Rightarrow x = \pm \sqrt{\frac{c}{3}}, (c > 0)$

So, the roots of the equation are equal in magnitude but opposite in sign.

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Nature of Roots

Standard XIII Mathematics

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Consider the equation −3x2+c=0, where c>0. Then the roots of the equation are

The correct option is A Real and equal in magnitude−3x2+c=0 ⇒3x2=c ⇒x=±√c3 , (c>0) So, the roots of the equation are equal in magnitude but opposite in sign.

Consider the equation $- 3 x^{2} + c = 0$ , where $c > 0.$ Then the roots of the equation are

The correct option is A Real and equal in magnitude
$- 3 x^{2} + c = 0$
$\Rightarrow 3 x^{2} = c$
$\Rightarrow x = \pm \sqrt{\frac{c}{3}}, (c > 0)$

So, the roots of the equation are equal in magnitude but opposite in sign.