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The number of tangents that can be drawn from the point (2, 2) to the circle x² + y² = 8 is:
Two pipes A and B can fill a tank in 15 hours and 20 hours, respectively. Another pipe C can empty the tank in 30 hours. If all three pipes are opened t...
Find the surface area of the smallest cube that can perfectly fit a sphere of volume 288π cm3 inside it.
I). p2 + 16p + 55 = 0
II). q2 + 9q + 20 = 0
A ladder leaning against a wall makes an angle of 60° with the ground. If the ladder is 10 meters long, how high up the wall does it reach?
17, 16, 34, 32, 68, 66
Average run scored by a batsman in 20 innings is 50. In next 6 innings, he scored runs with an average of ‘x’ so that his overall average increases ...
Find the equation of the line passing through the points P(2, 3) and Q(4, 7).
The sides of a triangle are 9 cm, 12 cm, and 15 cm. What is the area of the largest circle that can be inscribed in this triangle?
