Quadratic Equations - UP Board (UPMSP) STD 11 Science MATHS Questions

Q 1M.C.Q (1 Marks)1 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 2M.C.Q (1 Marks)1 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 3M.C.Q (1 Marks)1 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 4M.C.Q (1 Marks)1 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 5M.C.Q (1 Marks)1 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 61 Marks Question1 Mark

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

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Q 71 Marks Question1 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 81 Marks Question1 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 91 Marks Question1 Mark

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

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Q 101 Marks Question1 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 112 Marks Questions2 Marks

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

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Q 122 Marks Questions2 Marks

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

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Q 132 Marks Questions2 Marks

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

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Q 142 Marks Questions2 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 152 Marks Questions2 Marks

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

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Q 163 Marks Question3 Marks

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

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Q 173 Marks Question3 Marks

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

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Q 183 Marks Question3 Marks

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

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Q 193 Marks Question3 Marks

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

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Q 203 Marks Question3 Marks

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

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Q 215 Marks Questions5 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