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Byju's Answer

Standard X

Mathematics

Quadratic Formula

In the questi...

Question

In the question, a statement of assertion (A) is followed by a statement of the reason (R). Mark the correct choice:

Assertion: 2 is a root of the equation $x^{2} - 4 x + 4 = 0$ .

Reason: Equation $x^{2} - 4 x + 4 = 0$ has equal roots

Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

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Assertion (A) is true, but reason (R) is false.

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Assertion (A) is false, but reason (R) is true.

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Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).

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Solution

The correct option is A
Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

The correct answer is Option (b).

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Similar questions

Q. Assertion (A)
The equation

2 x^{2} - 4 x + 3 = 0

has no real roots.

Reason (R)
The equation

a x^{2} + b x + c = 0, (a \neq 0)

has no real roots, if

(b^{2} - 4 a c) < 0 .

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
(c) Assertion (A) is true and Reason (R) is false.
(d) Assertion (A) is false and Reason (R) is true.

Q. Assertion (A)
If −5 is a root of

2 x^{2} + 2 p x - 15 = 0 and p (x^{2} + x) + k = 0

has equal roots, then

k = \frac{7}{8} .

Reason (R)
The equation

a x^{2} + b x + c = 0, a \neq 0

has equal roots, if

(b^{2} - 4 a c) = 0 .

In the question, a statement of assertion (A) is followed by a statement of the reason (R). Mark the correct choice:

Assertion: The quadratic equation $4 x^{2} + 6 x + 3$ has no real roots.

Reason: The value of the discriminant is -12

In the question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice:

Assertion: $(10 + 4)^{3}$ = 2744.
Reason: $(x + y)^{3}$ = $x^{3} + y^{3} + 3 x^{2} y + 3 x y^{2}$ .

Q. In the question, a statement of assertion

(A)

is followed by a statement of reason

(R)

. Mark the correct choice:

Assertion

(A)

:

A surface is that which has length and breadth only.
Reason

(R) :

The ends of a line are points.

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In the question, a statement of assertion (A) is followed by a statement of the reason (R). Mark the correct choice: Assertion: 2 is a root of the equation x2−4x+4=0. Reason: Equation x2−4x+4=0 has equal roots

The correct option is A Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A). Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A). The correct answer is Option (b).

In the question, a statement of assertion (A) is followed by a statement of the reason (R). Mark the correct choice:

Assertion: 2 is a root of the equation $x^{2} - 4 x + 4 = 0$ .

Reason: Equation $x^{2} - 4 x + 4 = 0$ has equal roots

The correct option is A
Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

The correct answer is Option (b).