A ladder is leaning against a wall, making an angle of 60° with the ground. The distance of the foot of the ladder from the wall is 5 m. Find the length of the ladder.
Find the coordinates of the point that divides the line segment joining the points (4, 6) and (-2, -4) in the ratio 3:2.
Prove that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The sum of the first 15 terms of an AP is 255, and the first term is 3. Find the common difference.
Solve the equations 3x + 2y = 5 and 4x – 3y = -2 using the elimination method.
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