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.

Explanation

According to the law of reflection, angle of incidence = angle of reflection.

So, if light strikes at 30°, it reflects at 30°.

Explanation

ln3 means the natural logarithm of 3 (log base e).

Its approximate value is 1.0986.

Explanation

Jet engines typically produce very high power, often in the megawatt (MW) range.

1.2 × 10⁶ watts equals 1.2 megawatts, which is appropriate for a jet engine.

Explanation

Shout means بولنے یا زور سے کال کرنے کے لئے

Yell means بولنے یا زور سے کال کرنے کے لئے

Explanation

When two circles touch each other externally, they have a single point of contact.

The distance between their centers (C1C2) is equal to the sum of their radii (r1 + r2).