A line passes through the point ( 2 , - 1) (2,-1) and is perpendicular to the line \(y = \left(-\frac{2}{5}\right)x + 3\). What is its equation?

The sum of the first 10 numbers is 380, and the average of 20 numbers is 40. What is the average of the remaining 10 numbers?

Select the number that can replace the question mark [?] in the following series.

A can complete a work in 12 days, and B in 16 days. They work together for 3 days. How much work is left?

A can do a piece of work in 20 days. He worked for 8 days. Then B alone finishes the remaining work in 12 days. In how many days can B complete the whole work alone?

A person starts to walk from a ground in the west direction to reach his home. After 13km he reaches at point Y. From point Y, he takes a right turn, walks 7 km and reaches point C. From point C, he takes a left turn, walks 9km and reaches point T. From point T, he takes a left turn and walks 4km and reaches his home.

What is the shortest distance between his home and point Y?

Who was appointed as the Chief Justice of the Orissa High Court in March 2025?

Which iconic Bharatanatyam dancer and actress, known for her work in over 230 films, was honoured with the Padma Bhushan in 2025?

Read the following statements regarding different modulation techniques:

1. In Amplitude Modulation (AM), the bandwidth of the modulated signal is twice the modulating signal frequency.

2. Frequency Modulation (FM) typically consumes less power than AM for the same coverage area.

3. Phase Modulation (PM) is equivalent to Frequency Modulation (FM) when the modulating signal is integrated before applying to the phase modulator.

Which of the above statements are correct?