4.2 Quadratic equations and inequations - Gujarat Board (GSEB) STD 11 Science MATHS Questions - Vidyadip

Question types

4.2 Quadratic equations and inequations question types

613 questions across 1 question group — pick any mix to generate a MATHS paper with step-by-step answer keys.

613

Questions

1

Question groups

5

Question types

MCQ

Sample Questions

4.2 Quadratic equations and inequations questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1MCQ1 Mark

If $x = 2 + {2^{2/3}} + {2^{1/3}},$then ${x^3} - 6{x^2} + 6x = $

A
$3$
✓
$2$
C
$1$
D
None of these

Answer: B.

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Q 2MCQ1 Mark

The roots of the given equation $(p - q){x^2} + (q - r)x + (r - p) = 0$ are

A
$\frac{{p - q}}{{r - p}},1$
B
$\frac{{q - r}}{{p - q}},1$
✓
$\frac{{r - p}}{{p - q}},1$
D
$1,\frac{{q - r}}{{p - q}}$

Answer: C.

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Q 3MCQ1 Mark

The value of $2 + \frac{1}{{2 + \frac{1}{{2 + ...........\infty }}}}$ is

A
$1 - \sqrt 2 $
✓
$1 + \sqrt 2 $
C
$1 \pm \sqrt 2 $
D
None of these

Answer: B.

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Q 4MCQ1 Mark

The roots of the equation ${2^{x + 2}}{27^{x/(x - 1)}} = 9$ are given by

A
$1 - {\log _2}3,\,2$
B
${\log _2}\left( {\frac{2}{3}} \right)\,,\,\;1$
C
$2, - 2$
✓
$ - 2,\;1 - \frac{{\log 3}}{{\log 2}}$

Answer: D.

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Q 5MCQ1 Mark

If $x = \sqrt {7 + 4\sqrt 3 } ,$ then $x + \frac{1}{x} = $

✓
$4$
B
$6$
C
$3$
D
$2$

Answer: A.

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