Quadratic Equations - Gujarat Board (GSEB) STD 11 Science MATHS Questions

Q 1MCQ1 Mark

If the roots of $x^2− bx + c = 0$ are two consecutive integers, then $b^2 − 4 c$ is:

A
0
✓
1
C
2
D
None of these.

Answer: B.

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Q 2MCQ1 Mark

The number of real roots of the equation $(x^2 + 2x)^2− (x + 1)^2 − 55 = 0:$

✓
2
B
1
C
4
D
None of these.

Answer: A.

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Q 3MCQ1 Mark

If $\alpha$ and $\beta$ are the roots of $4x^2+ 3x + 7 = 0$, then the value of $\frac{1}{\alpha}+\frac{1}{\beta}$ is:

A
$\frac{4}{7}$
✓
$-\frac{3}{7}$
C
$\frac{3}{7}$
D
$-\frac{3}{4}$

Answer: B.

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Q 4MCQ1 Mark

If one root of the equation $x^2+ px + 12 = 0$, is $4$, while the equation $x^2+ px + q = 0$ has equal roots, the value of q is:

✓
$\frac{49}{4}$
B
$\frac{4}{49}$
C
$4$
D
None of these.

Answer: A.

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Q 5MCQ1 Mark

The values of x satisfying $log_3 (x^2+ 4x + 12) = 2$ are:

A
2, −4
B
1, −3
C
−1, 3
✓
−1, −3

Answer: D.

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Q 6(Each question 1 marks)1 Mark

Show the following quadratic equation by factorization method: $\text{x}^2+2\text{x}+5=0$

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Q 7(Each question 1 marks)1 Mark

If roots $\alpha,\beta$ of the equation $x^2− px + 16 = 0$ satisfy the relation $\alpha^2+\beta^2= 9,$ then write the value p.

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Q 8(Each question 1 marks)1 Mark

If $a$ and $b$ are roots of the equation $x^2-x+1=0$, then write the value of $a^2+b^2$.

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Q 9(Each question 1 marks)1 Mark

Show the following quadratic equation by factorization method: $9\text{x}^2+4=0$

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Q 10(Each question 1 marks)1 Mark

If $2+\sqrt{3}$ is root of the equation $x^2+ px + q = 0$, than write the values of p and q.

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Q 11(Each question 2 marks)2 Marks

Show the following quadratic equation by factorization method: $17x^2 - 8x + 1 = 0$

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Q 12(Each question 2 marks)2 Marks

Show the following quadratic equation by factorization method: $x^2 - x + 1 = 0$

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Q 13(Each question 2 marks)2 Marks

Show the following quadratic equation by factorization method: $x^2+(1-2 i) x-2 i=0$

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Q 14(Each question 2 marks)2 Marks

Show the following quadratic equation by factorization method: $\text{x}^2-(2\sqrt{3}+3\text{i}))\text{x}+6\sqrt{3}\text{ i}=0$

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Q 15(Each question 2 marks)2 Marks

Show the following quadratic equation:$(2 + i) x^2 - (5 - i) x + 2 (1 - i) = 0$

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Q 16(Each question 3 marks)3 Marks

Show the following quadratic equation by factorization method: $\sqrt{5}\text{x}^2+\text{x}+\sqrt{5}=0$

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Q 17(Each question 3 marks)3 Marks

Show the following quadratic equation by factorization method: $-x^2 + x - 2 = 0$

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Q 18(Each question 3 marks)3 Marks

Show the following quadratic equation by factorization method: $8x^2 - 9x + 3 = 0$

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Q 19(Each question 3 marks)3 Marks

Show the following quadratic equation by factorization method: $\sqrt{2}\text{x}^2+\text{x}+\sqrt{2}=0$

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Q 20(Each question 3 marks)3 Marks

Show the following quadratic equation: $ix^2 - x + 12i = 0$

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Q 21(Each question 4 marks)4 Marks

Show the following quadratic equation: $\text{x}^2-(3\sqrt{2}-2\text{i})\text{x}-\sqrt{2}\text{ i}=0$

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Quadratic Equations question types

Quadratic Equations questions

Generate a Quadratic Equations paper free

Quadratic Equations MATHS - Quadratic Equations

Quadratic Equations question types

Quadratic Equations questions

Generate a Quadratic Equations paper free