1. The point of contact of the line x-y+2= 0 with the parabola $y^2$-8x= 0 is

2. The point of contact of tangent y= mx + c to the parabola $y^2$= 4ax is

3. The eccentricity of the hyperbola $x^2$ - $y^2$= 2004 is

4. If x+y+1= 0 touches the parabola $y^2$=$\lambda$x, then $\lambda$ is equal to

5. If xy-4x = 3y - $\lambda$= 0 represents the asymptotes of xy - 4x + 3y= 0, then $\lambda$ is

6. The sum of the focal distance of an ellipse $\frac{x^2}{a^2}$+$\frac{y^2}{b^2}$=1 is equal to

7. S and T are the foci of an ellipse and B is an end point of the minor axis. If $\mathrm{\Delta }$STB is equilateral then e=

8. If e and e' be the eccentricities of two conics s and s' such that $e^2$+$e^{\text{'}2}$= $\frac{13}{16}$ then both s and s' are

9. Eccentricity of the ellipse 25$x^2$+9$y^2$- 150x - 90y + 225= 0 is

10. The length of the transverse axis of hyperbola ${4x}^2$
- ${9y}^2$ + 8x +40= 0

11. Latus Rectum of an ellipse is equal to half of its minor axis. Hence its eccentricity is

12. If A and B are two fixed points and P is a variable point such that PA + PB= 4, the locus of P is

13. The equation of ellipse passes through the points (2,2) and (1,4) is

14. The focus of the parabola $y^2$ - x - 2y + 2= 0 is

15. The equation of the parabola with vertex at the origin and diectrix y = 2 is

16. The parabola $y^2$= x is symmetric about

17. If (2,0) is the vertex and y - axis the directrix of a parabola, then its focus is

18. The latus rectum of the parabola $x^2$- 4x - 2y - 8= 0 is

19. The equation of parabola whose Vertex at (0, 4) and focus (0, 2) is

20. The Co-ordinate of focus of the parabola $x^2$= -16y is