The equation of the parabola whose focus is (1,-1) and the directrix is `x+y+7=0` is a.`x^2+y^2-2x y-18 x-10 y=0` b.`x^2+y^2-18 x-10 y-45=0` c.`x^2-18 x-10 y-45=0` d.`x^2+y^2-2x y-18 x-10 y-45=0`

The equation of the parabola whose focus is (1,-1) and the directrix is x+y+7=0 is x^(2)+y^(2)-2xy-18x-10y=0x^(2)+y^(2)-18x-10y-45=0x^(2)-18x-10y-45=0x^(2)+y^(2)-2xy-18x-10y-4=0

The equation of the parabola with focus (0,0) and directrix x+y=4 is a. x^2+y^2-2x y+8x+8y-16=0 b. x^2+y^2+8x+8y-16=0 c. x^2+y^2-2x y+8x+8y=0 d. x^2-y^2+8x+8y-16=0

The equation of the parabola whose vertex is (a ,0) and the directrix has the equation x+y=3a is a. x^2+y^2+2x y+6a x+10 a y+7a^2=0 b. x^2-2x y+y^2-6a x+10 a y+7a^2=0 c. x^2-2x y+y^2+6a x+10 a y+7a^2=0 d.None of these

Equation of the parabola with focus (0,-3) and the directrix y=3 is: (a) x^(2)=-12y (b) x^(2)=12y (c) x^(2)=3y (d) x^(2)=-3y

x^2+y^2-10x-10y+41=0 and x^2+y^2-22x-10y+137=0

The equation of the circle of radius 5 in the first quadrant which touches the x-axis and the line 3x-4y=0 is x^2+y^2-24 x-y-25=0 x^2+y^2-30 x-10 y+225=0 x^2+y^2-16 x-18 y-64=0 x^2+y^2-20 x-12 y+144=0

The equation of the ellipse with focus (-1,1) directrix x-y+3=0 and eccentricity is a. 7x^2+2x y+7y^2+10 x+10 y+7=0 b. 7x^2+2x y+7y^2+10 x-10 y+7=0 c. 7x^2+2x y+7y^2+10 x-10 y+7=0 d. None of these

The parabola with directrix x+2y-1=0 and focus (1,0) is

The parabola with the directrix x+2 y-1=0 and focus (1,0) is

The equation of the ellipse whose focus is (1, -1) , directrix is the line x-y-3=0 and eccentricity is 1/2 , is: (A) 7x^2 + 2xy + 7y^2 + 7 = 0 (B) 7x^2 + 2xy+7y^2 + 10x - 10y - 7 = 0 (C) 7x^2 + 2xy + 7y^2 - 10x + 10y + 7 = 0 (D) none of these