Question-1 The diameter of 16x^{2} - 9y^{2} = 144 which is conjugate to x = 2y is

Question-2 The equation ax^{2} + 2 hxy + by^{2} + 2 gx + 2 fy + c = 0 represents an ellipse if

Question-3 If e,e' be the eccentricities of two conics S and S' and if e^{2} + e'^{2} = 3, then both S and S' can be

Question-4 Two diameters with slopes m_{1} ,m_{2} are conjugate if

Question-5 The equation x = a cos θ, y = b sin θ, 0 ≤ θ < 2 π, a ≠ b, represent

Question-6 The latus rectum of the ellipse 5x^{2} + 9y^{2} = 45 is

Question-7 If m is a variable , the locus of the point of intersection of the lines and is

Question-8 The line y = 2x + c touches the ellipse if c is equal to

Question-9 The sum of distance of any point on the ellipse 3x^{2} + 4y^{2} = 24 from its foci is.

Question-10 The equation represents