Question-1 If m is a variable , the locus of the point of intersection of the lines and is

Question-2 The length of the latus rectum of the hyperbola is

Question-3 For the ellipse , the foci are

Question-4 Sum of the focal distance of an ellipse is equal to

Question-5 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-6 The equation represents

Question-7 The diameter of 16x^{2} - 9y^{2} = 144 which is conjugate to x = 2y is

Question-8 The equation ax^{2} + 2 hxy + by^{2} + 2 gx + 2 fy + c = 0 represents an ellipse if

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

Question-10 The line y = 2x + c touches the ellipse if c is equal to