Question
Who has been the recipient of the ‘Indian Film
Personality Award’ for the year 2022?Solution
The famous Telugu actor Chiranjeevi has been given with the prestigious ‘Indian Film Personality Award’ at the 53rd International Film Festival of India as he worked in almost 150 movies as an actor, producer and dancer.
Find the area of the triangle formed by the points A(2, 3), B(-1, -4), and C(5, -2).
The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.
Find coordinates of the point dividing the line joining (–3,2) and (5,8) internally in ratio 3:1.
Which of the following is NOT a known factor to uniquely determine a plane?
Find the Perpendicular distance between two lines
6x + 8y = 18, 12x + 16y =20
A line passes through the point (4, 3) and is perpendicular to the line 3x + 4y = 12. Find the equation of the new line.
Find the equation of the circle passing through the points (1, 2) and (2, -1), and whose center lies on the line x - 2y + 3 = 0.
Determine the co-ordinates of the point where the line through the points A (3, 4, 1) and B (5, 1, 6) crosses the XY- plane?

If P(A) = 0.7, P(B) = 0.5 and P (B/A) = 0.3, find (i) P(A/B) (ii) P(A ∪ B)?