If the hyperbolas, `x^2+3 x y+ 2 y^2 +2=0` and ` x^2+3x y+ 2y^2+2x+3y+c=0` are conjugate of each other, then the value of `'c'` is equal to

If the hyperbolas,x^(2)+3xy+2y^(2)+2=0 and x^(2)+3xy+2y^(2)+2x+3y+c=0 are conjugate of each other,then the value of c' is equal to

For the circles x^2 + y^2 - 2x + 3y + k = 0 and x^2 + y^2 + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x - 6y - 7 = 0 to cut each other orthogonally the value of k must be

If x,y in R and x^2+y+4i and -3+x^2yi are conjugates to each other, then (abs(x)+abs(y))^2 =

If x^(2) + y^(2) - 2x + 3y + k = 0 " and " x^(2) + y^(2) + 8x - 6y = 7 = 0 cut each other orthogonally , the value of k must be

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by a. 3x^2+8x y-3y^2=0 b. 3x^2+10 x y+3y^2=0 c. y^2+2x y-3x^2=0 d. x^2+2x y-3y^2=0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (a) 3x^2+8x y-3y^2=0 (b) 3x^2+10 x y+3y^2=0 (c) y^2+2x y-3x^2=0 (d) x^2+2x y-3y^2=0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (a) 3x^2+8x y-3y^2=0 (b) 3x^2+10 x y+3y^2=0 (c) y^2+2x y-3x^2=0 (d) x^2+2x y-3y^2=0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by (1) 3x^2+8x y-3y^2=0 (2) 3x^2+10 x y+3y^2=0 (3) y^2+2x y-3x^2=0 (4) x^2+2x y-3y^2=0

If the pairs of lines x^2+2x y+a y^2=0 and a x^2+2x y+y^2=0 have exactly one line in common, then the joint equation of the other two lines is given by 3x^2+8x y-3y^2=0 3x^2+10 x y+3y^2=0 y^2+2x y-3x^2=0 x^2+2x y-3y^2=0