Let each of the two ellipses x²/a² + y²/b² = 1 and x²/A² + y²/B² = 1 have eccentricity 4/5. […]
Consider an A.P.: a₁, a₂, … , aₙ; a₁ > 0. If a₂ − a₁ = −3/4, aₙ = (1/4)a₁,
Let A(1, 0), B(2, −1) and C(7/3, 4/3) be three points. If the equation of the bisector of the angle
If cot x = 5/12 for some x ∈ (π, 3π/2), then sin 7x (cos 13x/2 + sin 13x/2) +
The value of ( √3 cosec 20° − sec 20° ) / ( cos 20° cos 40° cos 60° cos
Let f(t) = ∫ ( (1 − sin(logₑ t)) / (1 − cos(logₑ t)) ) dt, t > 1. If
If the domain of the function f(x) = log_(10x² − 17x + 7) (18x² − 11x + 1) is (−∞,
Let S = 1/(1!·25!) + 1/(3!·23!) + 1/(5!·21!) + … up to 13 terms. If 13S = 2^k / n!,
From a lot containing 10 defective and 90 non-defective bulbs, 8 bulbs are selected one by one with replacement. Then
Let R be a relation defined on the set {1, 2, 3, 4} × {1, 2, 3, 4} by R