When was the 'Nest' rating and certification initiative

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.

Find the co-ordinate of a point which divides the join of (3,2) and (3,2) internally in the ratio of 2:3?

Which of the following is NOT a known factor to uniquely determine a plane?

The equation of a line is 2x - 3y = 12. Find the perpendicular distance of the point (4, 5) from this line.

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?

In a race A beats B by 120m. B beats C by 260m and A beats C by 300m what is the length of race?

If two parallel lines are intersected by a transversal, then which of the options below is not necessarily correct?

Solve:  ∫[2x/(x⁴+1)] dx

Find the co-ordinate of the centroid of a triangle whose vertices are (1,3), (2,1) and (2,5)?

The slope of the equation 24x+8y=56 is