If p and q are real numbers between 0 and 1 such that the points (p, 1), (1, q) and (0, 0) form an equilateral triangle, then what is (p + q) equal to ?

ABC is an equilateral triangle and AD is the altitude on BC. If coordinates of…

Let A(3, -1) and B(1, 1) be the endpoints of line segment AB. Let P…

The vertices of a triangle are A(1, 1), B(0, 0) and C(2, 0). The angular…

Under what condition will the lines m²x + ny – 1 = 0 and n²x…

If tan⁻¹(k) + tan⁻¹(1/2) = π/4, then what is the value of k ?