Loading [MathJax]/jax/element/mml/optable/Latin1Supplement.js

CBSE Questions for Class 11 Engineering Maths Introduction To Three Dimensional Geometry Quiz 8 - MCQExams.com

The point equidistant from the point O(0,0,0),A(a,0,0),B(0,b,0) and C(0,0,c) has the coordinates
  • (a,b,c)
  • (a/2,b/2,c/2)
  • (a/3,b/3,c/3)
  • (a/4,b/4,c/4)
If the distance between a point P and the point (1, 1, 1) on the line x13=y14=z112 is 13, then the coordinates of P are
  • (3, 4, 12)
  • (313,413,1213)
  • (4, 5, 12)
  • (40, 53, 157)
A point C with position vector 3a+4b5c3 (where a,b and c are non co-planar vectors) divides the line joining A and B in the ratio 2:1. If the position vector of A is a2b+3c, then the position vector of B is
  • 2a+3b4c
  • 2a3b+4c
  • 2a+3b+4c
  • a+3b4c
The xy-plane divides the line joining the points (-1, 3, 4) and (2,-5,6).
  • internally in the ratio 2:3
  • externally in the ratio 2:3
  • internally in the ratio 3:2
  • externally in the ratio 3:2
If  a,b and c are non coplanar vectors then ˉa+4ˉb3ˉc,3ˉa+2ˉb5ˉc,3ˉa+8ˉb5ˉc,3ˉa+2ˉb+ˉc are collinear.
  • True
  • False
Let O be the origin and P be the point at a distance 3 units from origin. If d.x.s' of OP are 1, - 2, - 2, then coordinates of P is given by 
  • 1,2,2
  • 3,6,6
  • 13,23,23
  • 19,29,29
If A(2,2,3),B(5,6,9),C(2,7,9) be the vertices of a triangle. The internal bisector of the angle A meets BC at the point D, then find the coordinates of D.
  • (132,72,9)
  • (72,132,9)
  • (92,72,9)
  • (132,92,9)
If the lines x01=y+12=z11 and x+1k=y32=z21 are at right angles, then the value of k is
  • 5
  • 0
  • 3
  • 1
The vector AF, is given by?
  • |ac|c
  • |ac|c
  • 2|a||c|c
  • 13|ac|c
The position vector of the vertices of a triangle ABC are ˆi,ˆj,ˆk then the position vector of its orthocentre is
  • ˆi+ˆj+ˆk
  • 2(ˆi+ˆj+ˆk)
  • 13(ˆi+ˆj+ˆk)
  • 13(ˆi+ˆj+ˆk)
The graph of the equation y2+z2=0 in three dimensional space is
  • x- axis
  • y- axis
  • z- axis
  • yz-plane
The area of triangle whose vertices are (1,2,3),(2,5,1) and (1,1,2) is
  • 150 sq.units
  • 145 sq.units
  • 155/2 sq.units
  • 155/2 sq.units
If the point (x,y) is equidistant from the points (a+b,ba) and (ab,a+b), then  bx=ay.
  • True
  • False
A tangent to the curve y=f(x) at p(x,y) meets xaxis at A and yaxis at B. If ¯AP:¯BP=1:3 and f(1)=1 then the curve also passes through the point.
  • (12,4)
  • (13,24)
  • (2,18)
  • (3,128)
If the distance between a point P and the point (1,1,1) on the line x13=y14=z112 is 13, then the coordinates of P are
  • (3,4,12)
  • (313,413,1213)
  • (4,5,13)
  • (40,53,157)
The points (10,7,0), (6,61) and (6,9,4) form a 
  • Right -angled triangle
  • Isosceles triangle
  • Both (1) & (2)
  • Equilateral triangle
The ratio in which the line joining (3,4,7) and (4,2,1) is dividing the xy-plane
  • 3:4
  • 2:1
  • 7:1
  • 4:3
The ratio in which the line joining points (2,4,5) and (3,5,4) divide YZ -plane is 
  • 2:3
  • 2:3
  • 3:2
  • 3:2
The vertices of a triangle are )2,3,5),(1,3,2),(3,5,2), then the angles are 
  • 30o,30o,30o
  • cos1(15),90o,cos1(53)
  • 30o,60o,90o
  • cos1(13),90o,cos1(23)
The values of a for which (8,7,a),(5,2,4) and (6,1,2) are collinear, is given by?
  • 2
  • 2
  • 1
  • 1
The shortest distance of the point (1,2,3) from x2+y2=0 is 
  • 5
  • 5
  • 2
  • 14
A triangle ABC is placed so that the mid-points of the sides are on the x,y,z axes. Lengths of the intercepts made by the plane containing the triangle on these axes are respectively α,β,γ. Coordinates of the centroid of the triangle ABC are
  • (α/3,β/3,γ/3)
  • (α/3,β/3,γ/3)
  • (α/3,β/3,γ/3)
  • (α/3,β/3,γ/3)
The triangle with vertices A(1,0,1),B(2,1,4) and C(3,4,1), is right-angled.
  • True
  • False
The distance between two points (1,1) and (2t21+t2,(1t)21+t2) is 
  • 4t
  • 3t
  • 1
  • none of these
The plane x=0 divides the joinning of (2,3,4) and (1,2,3) in the ratio :
  • 2:1
  • 1:2
  • 3:2
  • 4:3
The points (-5,12), (-2,-3),(9,-10),(6,5) taken in order, form
  • Parallelogram
  • rectangle
  • rhombus
  • square
The vertices of a triangle are (2,3,5),(1,3,2),(3,5,2), then the angles are
  • 30,30,120
  • cos1(15),90,cos1(53)
  • 30,60,90
  • cos1(13),90,cos1(23)
The plane passing through the point \left(-2,-2,2\right) and containing the line joining the points \left(1,1,1\right) and \left(1,-1,2\right) makes intercepts on the coordinates axes, the sum whose lengths is ?
  • 3
  • 4
  • 6
  • 12
The nearest point  from the origin is 
  • (2,3,-1)
  • (-3,2,1)
  • (2,2,2)
  • (1,2,-1)
The points (3,\ 2,\ 0),\ (5,\ 3,\ 2) and (-9,\ 6,\ -3), are the vertices of a triangle ABC.AD is the internal bisector of \angle\ BAC which meets BC at D. Then the co-ordinates of D, are
  • \left[ {\dfrac{{17}}{{16}},\ \dfrac{{57}}{{16}},\ \dfrac{{19}}{8}} \right]
  • \left[ {\dfrac{{19}}{{8}},\ \dfrac{{57}}{{16}},\ \dfrac{{17}}{16}} \right]
  • \left[0,\ 0,\ {\dfrac{{17}}{{16}}}\right]
  • \left[{\dfrac{{17}}{{16}}},\ 0,\ 0\right]
0:0:2


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Class 11 Engineering Maths Quiz Questions and Answers