If `(x^2y-2)+i(x+2x y-5)=0,` then (i) `x=1,4` (ii) `y=2,1/8` (iii) both of these (iv) none of these

The length of latus-rectum of the ellipse 3x^(2) + 4y^(2) - 6x + 8y - 5 = 0 is (i) 3 (ii) (3)/(2) (iii) (sqrt(3))/(2) (iv) none of these

If the line of best fit is 8x-10y+ 66=0 , estimate y when x= 2 (i) 4.2 (ii) 8.2 (iii) 6.7 (iv) none of the above

Find (x+y)-:(x-y), if (i) x=2/3, y=3/2 (ii) x=2/5, y=1/2 (iii) x=5/4, y=(-1)/3

(1 + i) ^ (100) = 2 ^ (49) (x + iy) thenx ^ (2) + y ^ (2) = (i) 0 (ii) 4 (iii) 8 (iv) 16

If x^(2)-2cos alpha x+1=0 and y^(2)-2cos beta y+1=0 then 2cos(alpha+beta) is equal to (i)((x)/(y))+((y)/(x))(ii)(x+(1)/(y))(y+(1)/(x))(iii) (iv) none of these

If (x^(2))/(a^(2))-(y^(2))/(a^(2))=1,(dy)/(dx) can be expressed as (i) (x)/(y)( ii) (x)/(sqrt(x^(2)-a^(2)))( iii) (1)/(sqrt(((x)/(a))^(2)-1)) (iv) none of these

The equation of the directrix of the parabola x^(2) - 4x - 8y + 12 = 0 is (i) y = 0 (ii) x - 1 = 0 (iii) y+ 1 = 0 (iv) x + 1 = 0

If sin^(-1)((x^2-y^2)/(x^2+y^2)) = tan^(-1)a, then the value of dy/dx is (i)x/y (ii)-x/y (iii)y/x (iv) -y/x

If 3ix^(2)y and x^(2)+y+4i are conjugate complex numbers then x^(2)+y^(2)=(i)1(ii)2 (iii) 3 (iv) 4

Draw the graph for the following: (i) y=2x (ii) y=4x-1 (iii) y=((3)/(2)) x+3 (iv) 3x+ 2y =14