How many values of will satisfy the equation (sin²θ – 4 sinθ + 3) (4 – cos² 0 + 4 sinθ) = 0, where 0 < θ < π/2 ?

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…

If p and q are real numbers between 0 and 1 such that the points…

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