List of practice Questions

If \( (\alpha, \beta, \gamma) \) are the direction cosines of an angular bisector of two lines whose direction ratios are (2,2,1) and (2,-1,-2), then \( (\alpha + \beta + \gamma)^2 \) is:
Find the general solution of the differential equation \( ( \sin y \cos^2 y - x \sec^2 y ) dy = (\tan y) dx \).
What did the peddler say in his defence when it was clear that he was not the person the ironmaster thought him to be? (The Rattrap)
Let the two variables $ x $ and $ y $ satisfy the following conditions: \[ x + y \leq 50, \quad x + 2y \leq 80, \quad 2x + y \geq 20, \quad x, y \geq 0. \] Then the maximum value of $ Z = 4x + 3y $ is:
The Information Technology Act came into operation on ..........
Private International Law is also called as .........
Dishonour of a cheque is an offence punishable under ........
In which year did the Supreme Court of India give the verdict on the Ayodhya dispute?
Which statement is correct regarding 42nd Amendment of the Indian Constitution?
Headquarters of the World Intellectual Property Organization (WIPO) is located at ______
A square is inscribed in the circle \( x^2 + y^2 - 10x - 6y + 30 = 0 \). One side of this square is parallel to \( y = x + 3 \). If \( (x_i, y_i) \) are the vertices of the square, then \( \sum (x_i^2 + y_i^2) \) is equal to:
Which Article of the Indian Constitution deals with the "Right against self-incrimination"?
Any act due to directly or exclusively without human intervention and it is nature’s destruction, the act is called as ........
“Right to life under Article 21” of the Indian Constitution does not include “Right to die”. This observation was made by the Supreme Court in which case ____?
Which of the following International Treaties is considered the cornerstone of Modern Human Rights Law?
Sarojini Naidu was the first woman Governor of ________ State in Independent India.
Which doctrine states that a person cannot be tried for the same offence twice?
Which famous English case is also known as "the snail in the bottle case"?
In Contract Law, what is the term for an agreement between two parties where both parties make promises to do something?
M. C. Mehta v. State of Tamilnadu case relates to _______
What is the term for a legal document that gives someone else the authority to act on your behalf in legal matters?
Select the correct statements regarding Fair trial:
In which case the Highest Court of the country imposed Rs. 25 lakhs on a litigant for initiating criminal proceedings in a civil dispute in 2024?
Bilkis Yakub Rasool v. Union of India and others was decided by ...........
The National Human Rights Commission (NHRC) of India is constituted under which Act?