Assertion - 40 - 9i - 12 - 5i where -1 - i- Reason- 40 - 12 9 - 5-

The correct option is D (A) is false (R) is true.In complex plane the property a+ib gt;c+id is not defined for any a,b,c,d.Hence 40+9i gt;12+5i d ...

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Standard XII

Physics

Multiplication with Vectors

Assertion : ...

Question

Assertion : $40 + 9 i > 12 + 5 i$ where $\sqrt{- 1} = i$ . Reason: $40 > 12$ & $9 > 5$ .

Both (A) & (R) are individually true & (R) is correct explanation of (A).

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Both (A) & (R) are individually true but (R) is not the correct (proper) explanation of (A).

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(A) is true (R) is false.

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(A) is false (R) is true.

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Solution

The correct option is D (A) is false (R) is true.
In complex plane the property
$a + i b > c + i d$ is not defined for any a,b,c,d.
Hence
$40 + 9 i > 12 + 5 i$ does not make sense.

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Similar questions

DIRECTIONS (Qs. 52 AND 53): The following item consist of two statements: one labelled as the Assertion a) and the other as Reason (R). You are to examine these two statements carefully and select the answers to these items using the codes given below:

a) Both A and R are individually true but R is the correct explanation of A

b) Both A and R are individually true but R is not the correct explanation of A

c) A is true but R is false

d) Both A and R are false

53. Assertion a): Saluva Narasimha put an end to the old dynasty and assumed the royal title.

Reason

(R): He wanted to save the kingdom from further degeneration and disintegration. [2003]

a) Both A and R are individually true but R is the correct explanation of A

b) Both A and R are individually true but R is not the correct explanation of A

c) A is true but R is false

d) Both A and R are false

52. Assertion a): Shah Alam II spent the initial years as an emperor far away from his capital.

Reason

(R): There was always a lurking danger of foreign invasion from the north-west frontier. [2003]

Q. Assertion(A): Some algae are unicellular.
Reason(R): They belong to the kingdom Monera.

Q. Assertion (A)
If the circumferences of two circles are in the ratio 2 : 3, then the ratio of their areas is 4 : 9.

Reason (R)
The circumference of a circle of radius r is 2πr.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
(b) Both Assertion (A) Reason (R) 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)

\sqrt{8}

is an irrational number.
Reason (R)
If m is a natural number which is not a perfect square, then

\sqrt{m}

is irrational.

(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 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.

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Assertion :40+9i>12+5i where √−1=i. Reason: 40>12 & 9>5.

The correct option is D (A) is false (R) is true.In complex plane the propertya+ib>c+id is not defined for any a,b,c,d.Hence40+9i>12+5i does not make sense.

Assertion : $40 + 9 i > 12 + 5 i$ where $\sqrt{- 1} = i$ . Reason: $40 > 12$ & $9 > 5$ .

The correct option is D (A) is false (R) is true.
In complex plane the property
$a + i b > c + i d$ is not defined for any a,b,c,d.
Hence
$40 + 9 i > 12 + 5 i$ does not make sense.