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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

Solve for x (x > 1):

log₃(x − 1) + log₃(x + 1) = 2

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

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

10 women and 12 men complete a certain piece of work in 30 days, if each women takes thrice the time taken by a man to finish the work.

Which one of the following is the equation for Velocity Time relation?

If a³ = 117 + b³ and a = 3 + b, then the value of a + b is:

If (a² − b²)sin θ + 2ab cos θ = a² + b², then tan θ =

If (2x + 3y+ 4) (2x + 3y 5) is equivalent to (ax² + by² + 2hxy + 2gx + 2fy + c), then what is the value - of ((g + f – c) / abh}?