ECAT Mathematics Introduction to Analytic Geometry Online Test

ECAT Math Introduction to Analytic Geometry

ECAT Math Introduction to Analytic Geometry Chapter Online Test

Total Questions: 60
Time Allowed: 25 Minutes
Total Marks: 60
How to Attempt Test: Please choose the right Option in MCQ-type question.
Test Helpful For: ECAT Entry Test
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1. If d₁ is distance between the points (0,0),(1,2) and d₂ is the distance between points (1, 2), (2, 1), then

2. If the slope of line through Pts (2, a)(b, 7) is 4 then

3. The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the lines segment are

4. The lines l₁ and l₂ intersect, the shortest distance b/w is

5. The distance of the point (3, 4, 5) from y-axis is

6.

7. If d₁ is the distance between point (0,0),(1.2) and d₂ is the distance between points (1,2)(2,1), then d₁² – d₁² =

8.

9. The point of concurrency of the medians of a triangle is called its

10. The equation of line through (-3, 50 and “Ʇ ar ” to line x + 2y + 3 = 0) is

11. The point which divides segment joining points (4, -2) and (8, 6) in the ratio 7:5 internally is

12. Which is intercept form of the equation px + qy + r = 0

13. Which point is above the line 4/3 x + y = 1?

14. The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm = 0 are perpendicular if

15. If (3, 5) is mid – points of (5, a) and (b, 7) then

16. If a > b, and 0 (0,0)A(a cos θ, a sin θ), B(b cos θ, b sin θ) then

17. The distance of the point 2 cos θ from origin is

18. The distance b/w parallel lines 4x + 3y – 2 = 0 and 4x + 3y + 8 = 0 is

19. The direction cosines of a line equally inclined with co-ordinate axes are

20. The distance of the point (1,2) from y – axis is

21. If the distance between points (a, 5) and (1, 3) is √2a + 1, then a =

22. The distance of the point (a, b) from origin is

23. If P (x, y) divides A (-6, 3) and B (5, -2) in ratio 2:3 internally then x =

24. The linc x+3/3 = y – 2/-2 = z+1/1 and the plane 4x + 5y + 3z – 5 = 0 intersect at a point

25. If origin is the midpoint of (a, 3) and (4, b), then


 

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