If Sin 3A = Cos (A - 46°) where 3A is acute angle,

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If √f + (1/√f) = 5, then find the value of f + (1/f).

Solve for x in the equation: 3(x + 2) + 2(2x - 5) = 5x + 9

If AB = x + 3, BC = 2x and AC = 4x − 5, then for what value of ‘x’ does B lie on AC?

If p = 40 - q - r and pq + r(q + p) = 432, then find the value of (p² + q² + r²).

If (Ax + By - Cz) ²  = 4x ²  + 3y ²  + 2z ²  + 4√3xy - 2√6yz - 4√2xz, then find the value of A

Solve: 1/x + 1/y = 5/2 and 1/x – 1/y = 1/6

If the ratio of the areas of two triangles is 4:3 and the ratio of their heights is 3:4, then the ratio of the lengths of their bases will be

If √x + (1/√x) = 13, then find the value of x + (1/x).