|x| + |y| + |z| = a has total number of integral solutions = 4*a^2 + 2. |x| + |y| = p has a total number of integral solutions = 4*p. |X| + |Y| = a; then 2*a^2 is the area enclosed between these lines. |x-a| + |y-b| = k has 4k integral solutions.
yea..few other shortcuts:|x| + |y| + |z| = a has total number of integral solutions = 4*a^2 + 2.|x| + |y| = p has a total number of integral solutions = 4*p.|X| + |Y| = a; then 2*a^2 is the area enclosed between these lines. |x-a| + |y-b| = k has 4k integral solutions.
My take is 89. x^2 + y^2 - 14x - 6y - 6 = 0.=> (x - 7)^2 + (y - 3)^2 = 64. This represents the equation of a circle with center at (7,3) and radius = 8. Hence, max (x) = 7+8 = 15. and max (y) = 3+8 = 11. => max (3x + 4y) = 3*15 + 4*11 = 45 + 44 = 89.
@Enceladus how can you take two diffrent points and add the values....
assuming that 3x +4y is aline it will pass through a single point
that could be (7,11) or (15,3) but in both cases the max value I can get is 65 and 67.....no where near the options
let a,b,c be positive real numbers.Determine the largest number of real roots that the following three polynomials may have among them:ax^2+bx+c,bx^2+cx+a,cx^2+ax+b...
Q A tennis player computes her win ratio by dividing the number of matches she has won by the total number of matches played by her.At start of the weekend her win ratio is 500.
During weekend she plays 4 matches, winning three and loosing one.At the end of weekend her win ratio is greater than 503.What is largest number of matches she could have won before the weekend began.........
Q A tennis player computes her win ratio by dividing the number of matches she has won by the total number of matches played by her.At start of the weekend her win ratio is 500.During weekend she plays 4 matches, winning three and loosing one.At the end of weekend her win ratio is greater than 503.What is largest number of matches she could have won before the weekend began.........
