Test: Dimensional Geometry - 4 - Mathematics MCQ
20 Questions MCQ Test Topic-wise Tests & Solved Examples for Mathematics - Test: Dimensional Geometry - 4
The equation of a straight line which makes an angle of 60° with x-axis and passes through the point (√3, 2) is given by
The line y - x + 2 = 0 cuts the line joining (3, -1) and (8, 9) in the ratio
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The equation of the straight line passing through (4, 5) and parallel to the line 2x - 3y = 5 is given by
The condition that the three straight lines
ax + by+ c = 0
a1x + b1y + c = 0
a2x + b2y + c2 = 0
may meet in a point, is that, the value of the determinant 
must be
The point (x1,y1) lies on the positive side of the straight line Ax + By + C = 0
When two straight lines 2x- 3y + 1 = 0 and 3x -6y + 2 = 0 are traced, we get four different compartments. Which of the following four points lie in the same compartment? A(0, 0), B(-1, 1), C(-7, -4), D(9, 6)
The angle between the lines ax + by + c = 0 and a'x + b'x + c' = 0 is given by
The straight lines ax + by + c = 0 and a'x + b'y + c' = 0 arc perpendicular if
The four points (0, 4, 1), (2, 3, -1), (4, 5, 0). (2, 6, 2) are the vertices of a
Let A(3, 2, 0), B(5, 3, 2), C( 9, 6, -3) be the three points forming a triangle. Let the bisector of the angle BAC meet BC in D. Then D divides BC in the ratio of
Let A(-1,2, -3), B(5, 0, -6), C(0, 4, -1) be the three points. Then the direction cosines of the internal bisector of the angle BAC are proportional to
Which of the following is incorrect?
If l1, m1, n1, : l2, m2, n2, : l3, m3, n3 be the direction cosines of three mutually perpendicular lines then
The direction ratios of the line, which is equally inclined to the three mutually perpendicular lines with direction cosines l1, m1, n1: l2, m2, n2 : l3, m3, n3; are given by
“If O, A, B, C be the four points not lying in the same plane such that OA ⊥ BC, OB ⊥ CA, then OC ⊥ AB". if the points O, A, B, C are coplanar, then the above reduces to
If a1, b1, c1 and a2, b2, c2 are the direction ratios of two lines, then the angle between them is not given by
If the edges of a rectangular parallelepiped are OA , OB and OC along coordinate axes such that OA = a, OB = b, OC = c and PL, PM and PN are the perpendiculars drawn from P(a, b, c) on XY, ZX and YZ planes respectively, then angle between OP and AN is given by
If a variable line in two adjacent positions has direction cosines as 
then the small angle dθ between those two positions.in given by
The area of the triangle with vertices (0, 0, 0), (0, b, 0) and (0, 0, c) is given by
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Important Questions for Dimensional Geometry - 4
Dimensional Geometry - 4 MCQs with Answers
Online Tests for Dimensional Geometry - 4 Topic-wise Tests & Solved Examples for Mathematics
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