Re-discovery of Mendel’s Laws in 1900 by which of the

If 2y cos θ  = x sin θ  and 2x sec θ -  y cosec θ  = 3, then the value of x²+ 4y² is

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.

Find x, given 5 (√5)^x+6 = (√5)^2x+7 :

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 x + y + z = 0, then what is the value of (3y² + x² + z²)/(2y² – xz)?

IfX = (√5 + 1) / (√5 – 1) and y = (√5 – 1) / (√5 + 1) then the value of(x ²+xy+y

The simple interest accrued on a sum at the rate of 10% p.a. for two years is Rs. 5,000.

If -5 ≤ x ≤ 3 and -1 ≤ y ≤ 0, then the minimum value of 2y – 3x is:

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