ECAT Mathematics Conic Section Online Test

ECAT Math Conic Section

ECAT Math Conic Section Chapter Online Test

Total Questions: 50
Time Allowed: 20 Minutes
Total Marks: 50
How to Attempt Test: Please choose the right Option in MCQ-type question.
Test Helpful For: ECAT Entry Test
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1. The lines which generate the cone are also known as

2. Focal axis are also known as

3. Equation of tangent to the circle x² + y² = 4 is (2cosθ, 2sinθ) is

4. Parametric equation o ellipse x²/a² + y²/b² = 1

5. The length of latus – rectum of the ellipse x²/9 + y²/9 = 1 is

6. The center of the circle 45x² + 45y² – 60x + 36y + 19 = 0 is

7. The line through the focus and perpendicular is directrix is called

8. The center of the circle x² + y² + 2gx + c = 0 is

9. Equation of normal to the circle x² + y² = a² is (aco s θ, a sinθ) is

10. If A (0, 0) and (– 1, 0) are ends of the diameter, then the equation fo the circle is

11. xx₁ + yy₁ + g(x+x₁) f(y+y₁) + c = 0 represents an equation of

12. If the intersecting plane is parallel to the axis of the cone and intersects both of its apes then, the resulting section is

13. The center of the circle is

14. The radius of the circle (x – 1)² + (y = 3)² = 3 is

15. If the intersecting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is

16. The parabola x² = y passes through

17. The curves obtain by cutting a (double) right circular cone by a plane are called

18. The line y = mx + c will be tangent b x²/a² + y²/b² = 1 A > b then

19. Circles (x – 7)² + (y – 9)² = 3 is not concentric to the circle

20. The size of the circle obtained by cutting the cone by a plane perpendicular to the axis of the cone depends on how near the plane is to the

21. Parametric equation of circle x² + y² = r² are

22. The extremities of the transverse axis of hyperbola are called its

23. If cutting plane is 11 is axis of cone and cuts both of its napes then intersection is

24. Equation of the parabola

25. The center of the ellipse x²/a² + y²/b² = 1 is


 

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