ECAT Mathematics Chapter 20 Analytic Geometry Online Test With Answers

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ECAT Mathematics Chapter 20 Analytic Geometry Online Test

Sr. # Questions Answers Choice
1 The points (5, -4, 2),(4, -3, 1),(7, -6, 4),(8, -7, 5) are vertices of a Square Parallelogram Rectangle Rhombus
2 The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a Square Rhombus Rectangle Parallelogram
3 The equations of the line thro' the point (2, 3, -5) and equally inclined to the axis are
4 The lines l1and l2intersect. The shortest distance between them is Positive Negative Zero Infinity
5 The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is x + y + z - 15 = 0 x - y + z - 15 = 0 x - y - z - 15 = 0 x + y + z + 15 = 0
6 The distance of the plane 2x - 3y + 6z + 14 = 0 from the origin is 14 2 -2 11
7 The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on ZOX plane XOY plane YOZ plane None of these
8 0 2 4/3 5/3
9 The projections of a line segment on x, y, z axes are 12, 4, 3. The length and the direction cosines of the line segment are
10 The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if
11 (3, 1, -2) (3, -2, 1) (2, -1, 3) (-1, -2, -3)
12 The distance of the points (3, 4, 5) from y-axis is
13 The direction cosines of any normal to the xy-plane are <1, 0, 0> <0, 1, 0> <1, 1, 0> <0, 0, 1>
14 The direction cosines of a line equally inclined with co-ordinate axes are
15 The points (5, 2, 4)(6, -1, 2) and (8, -7, k) are collinear if k is equal to -2 2 3 -1
16 If l, m, n are the d.c.'s of a line, then l2+ m2+ n2= 0 l2+ m2+ n2= 1 l + m + n = 1 l = m = n = 1
17 0 undefined
18 9 -9 0 1
19 1 0 5 2
20
21
22 0 1 -1 undefined
23 The slope of y-axis is 0 undefined 1
24 The slope of x-axis is 0 undefined 1
25 0 1 undefined
26 0 1
27 0 1
28 0 1
29 0 1
30
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