Explanation

Encounter means کسی چیز کا سامنا کرنا

Experience means کسی واقعہ یا صورتحال سے گزرنا یا اس کا سامنا کرنا

Explanation

In ax² + bx + c = 0, if > 0, b > 0, and c > 0, the parabola opens upward and lies entirely above the x-axis unless discriminant D = b² - 4ac ≥ 0.

If real roots exist, they are negative because both b and c are positive.

Explanation

Prime factors:

 • 36 = 2² × 3²

 • 54 = 2 × 3³

 • 360 = 2³ × 3² × 5

Common prime factors are 2 × 3² = 18.

Explanation

Step 1: Add the two equations to eliminate y

(x + y) + (x - y) = 10 + 10

2x = 202x = 10

Step 2: Solve for x

x = 20/2x = 10

Explanation

Using the identify 2 sin A cos A = sin 2A, so 2 sin 45° cos 45° = sin 90°.

Since sin 90° = 1, the expression equals 1.

Explanation

A matrix A is symmetric if its transpose equals itself, i.e., A^T = A.

This means the elements are mirrored across the main diagonal.

Explanation

Maharaja Ranjit Singh was born in the Punjab region in 1780.

He founded the Sikh Empire, which was based primarily in Punjab.

Explanation

The area of a triangle inscribed in a circle is given by:

Area = abc/4R

Explanation

• The critical angle is the angle of incidence at which the angle of refraction is 90°, and beyond which total internal reflection occurs.
• This concept is crucial in understanding optical phenomena like fiber optics and prisms.

Explanation

When a nitrogen nucleus is hit by an alpha particle, it can produce oxygen and a proton.

This was observed in early nuclear reactions, such as Rutherford's experiment.