Two positions of the same dice are shown. Select the

There are 6 blue pens, 5 black pens and 4 green pens in a bag. Three pens are chosen randomly.

If x sin³ θ + y cos³ θ = sin θ cos θ and x sin θ − y cos θ = 0, then the value of x² + y² equals

If a³ + 3a² + 9a = 1, then what is the value of a³ + (3/a)?

If a + b + c = 0 then the value of (1/(a+b)(b+c)) + (1/(b+c)(c+a)) + (1/(c+a)(a+b)) is

If sec θ + tan θ = m(> 1), then the value of sin θ is (0° < θ < 90°)

If x² + y² + 2x + 1 = 0, therefore the value of x³¹ + y³⁵ is

If x + y = 7 and xy = 10, then the value of (1/x³ + 1/x³) is :

If x⁴ + 2x³ + ax² + bx + 9 is a perfect square, where a and b are positive real numbers, then the value of a and b are

The value of = 3/4 ÷ 3/4  of 4/3 + 5/2 ÷ 2/5 of 5/4 – (2/3 + 2/3 of 5/6) is :