" 8."xy+2(x+y)+4

If x = sin alpha + sin beta, y = cos alpha + cos beta then tan alpha + tan beta = (1) (8xy) / (2 (y ^ 2-x ^ 2) + (x ^ 2 + y ^ 2 ) (x ^ 2 + y ^ 2-2)) (2) (4xy) / ((y ^ 2-x ^ 2) + (x ^ 2 + y ^ 2) (x ^ 2 + y ^ 2-2 )) (3) (8xy) / ((x ^ 2 + y ^ 2) (x ^ 2 + y ^ 2-2)) (4) 4xy

The following are the steps involved in factorizing 64 x^(6) -y^(6) . Arrange them in sequential order (A) {(2x)^(3) + y^(3)} {(2x)^(3) - y^(3)} (B) (8x^(3))^(2) - (y^(3))^(2) (C) (8x^(3) + y^(3)) (8x^(3) -y^(3)) (D) (2x + y) (4x^(2) -2xy + y^(2)) (2x - y) (4x^(2) + 2xy + y^(2))

If 4x ^(2) + 12 xy - 8x + 9 y ^(2) - 12 y = (ax + by) (ax+ by -4), then the value of a ^(2) +b ^(2) is

Evaluate : 3x^(2) + 5xy - 4y^(2) + x^(2) - 8xy - 5y^(2)

Add: 4x^(2) - 7xy + 4y^(2) - 3, 5 + 6y^(2) - 8xy + x^(2) and 6 - 2xy + 2x^(2) - 5y^(2)

The parabola with directrix x+2y-1=0 and focus is (1,0) is (A) 4x^(2)+4xy+y^(2)+8x-4y+4=0 (B) 4x^(2)+4xy+y^(2)-8x+4y+4=0 (C) 4x^(2)-4xy+y^(2)-8x-4y+4=0 (D) 4x^(2)-4xy+y^(2)-8x+4y+4=0