In a trapezium ABCD, AB is parallel to DC. The diagonals AC and BD intersect at P. If AP : PC = 4 : (4x – 4) and BP : PD = (2x – 1) : (2x + 4), then what is the value of x?

If log₁₀[995 + √x²- 12x +16] = 3, then what is the sum of the…

If log₁₀a/(b – c) = log₁₀b/(c – a) = log₁₀c/(a – b), (a ≠ b…

In a triangle ABC, DE is a line segment which intersects AB at D and…

ABCD is a cyclic quadrilateral. AB and DC when produced, meet in E. Which of…

ABCD is a trapezium in which AB is parallel to DC. The vertices A, B,…