If x = 1 – y and x2 = 2 – y2 , then what is the value of xy?

More Questions from Simplification

• What is the simplified value of (sec A + cos A)(sec A – cos A)?
• What is the simplified value of cosec Acot A + tan A2 ?
• How many times the keys of a typewriter have to be pressed in order to write numbers from 121 to 1346?
• If the expression px3 – qx2 – 7x – 6 is completely divisible by x2 – x – 6 , then what is the value of p and q respectively?
• If the expression px3 – 2x2 – qx + 18 is completely divisible by (x2 – 9) , then what is the ratio between p and q respectively?
• If (x/y)a-4 = (y/x)2a-5 , then what is the relation between x and y?
• If 3a – (3/a) – 3 = 0, then what is the value of a3 – (1/a3) + 2 ?
• Smaller diagonal of a rhombus is equal to length of its sides. If length of each side is 4 cm, then what is the area (in cm2) of an equilateral triangle with side equal to the bigger diagonal of the rhombus?
• If 2 cos θ = 2 – sin θ, then what is the value of cos θ?
• If x3+ 2x2– 5x + k is divisible by x + 1, then what is the value of k?

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