A binary operation * is defined by a * b = ab. If a ...
A binary operation * is defined by a * b = ab. If a * 2 = 2 - a, find the possible values of a.
1, -1
1, 2
2, -2
1, -2
Correct answer is D
a * b = ab
a * 2 = a2 = 2 - a
a2 + a - 2 = 0
a2 + 2a - a - 2 = 0
a(a+2) - 1(a+2) = 0
(a-1)(a+2) = 0
a = 1, -2
Find the tangent to the acute angle between the lines 2x + y = 3 and 3x - 2y = 5. ...
Find the quadratic equation whose roots are c and -c...
The diagram is a circle centre O. If < SPR = 2m and < SQR = n, express m in terms of n ...
A cone with the sector angle of 45° is cut out of a circle of radius r of the cone....
Three quarters of a number added to two and a half of the number gives 13. Find the number...
The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST. ...
The expression 5x+36x(x+1) will be undefined when x equals ...