Explanation

Given 12 = PQ, we can write P = 12/Q.

For proportion:

4 : Q = P : 3

4/ Q = P / 3

4 × 3 = P × Q

12 = PQ

This matches the given equation.

The answer is 4 : q = p : 3.

Explanation

a + b = 2 ... (1)

a - b = 2 ... (2)

Adding (1) and (2):

2a = 4

a = 2

Put a = 2 in (1):

2 + b = 2

b = 0

Now, a² + b² = (2)² + (0)² = 4 + 0 = 4.

Explanation

"Outing" refers to a short journey or trip, usually for pleasure.

Outing means ایک مختصر سفر

Excursion means ایک مختصر سفر

Explanation

Encryption is a key part of Information Security, ensuring that financial data is securely transferred and protected from unauthorized access.

It converts data into a coded form, readable only by the intended recipient with the correct decryption key.

Explanation

Arthur Cayley, a British mathematician, introduced the modern concept of matrices in 1858.

He developed matrix algebra and its applications in linear transformations.

Explanation

In the Cartesian coordinate system:

• 1st quadrant: (+, +)
• 2nd quadrant: (-, +)
• 3rd quadrant: (-, -)
• 4th quadrant: (+, -)

Given P(2, -3), the x-coordinate is positive (+) and the y-coordinate is negative (-), so it lies in the 4th quadrant.

Explanation

Al-Qanun fi al-Tibb by Ibn Sina (Avicenna) is a five-volume medical encyclopedia.

It remained a standard reference in medicine for centuries in both the Muslim world and Europe.

Explanation

Given y ∝ x, we can write y = kx.

When x = 5, y = 210:

210 = k(5)

k = 210/5

k = 42

Now, when x = 2:

y = kx

y = 42(2)

y = 84

Explanation

ھيٺين مان اھڙو جملو چوندو جنهن ۾ اسم يا ضمير جي حالت جري ھجي: ڪي ماڻھو پنھنجي منھن کلندا آھن

Explanation

ھيٺين مان فعل اڪرترڪ جو جملو چونڊيو: مٺي ماني ڏاڍي وڻندي آھي