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Introduction to Three Dimensional Geometry, Monday , Time :7pm

Jan 24, 7:00 PM

70 minutes

Jan 24, 8:10 PM

34.0 marks

MCQ

23 questions

Umesh yadav

" we don't teach , we train"

Class Details

Maths

Class 11th

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Question Text

Question 1 :
The ratio in which $xy-$plane divides the line joining the points $(1, 0, -3)$ and $(1, -5, 7)$ is given by 

Question 3 :
The distance of origin from the image of (1, 2, 3) in plane x - y + z = 5 is 

Question 4 :
The ratio in which the plane $2x+3y-2z+7=0$ divides the line segment joining the points $(-1, 1, 3)$, $(2, 3, 5)$ is

Question 6 :
The x-coordinate of a point on the line joining the points $P(2,2,1)$ and $Q(5,1,-2)$ is $4$. Find its z-coordinate.

Question 7 :
A point on XOZ-plane divides the join of $(5, -3, -2)$ and $(1, 2, -2)$ at

Question 8 :
The points $(2, 5)$ and $(5, 1)$ are the two opposite vertices of a rectangle. If the other two vertices are points on the straight line $y = 2x + k$, then the value of k is

Question 9 :
If the $zx$-plane divides the line segment joining $(1,-1,5)$ and $(2,3,4)$ in the ratio $p:1$, then $p+1=$

Question 11 :
The equation of the set of points which are equidistant from the points $(1, 2, 3)$ and $(3, 2, -1)$.

Question 12 :
The distance between (5,1,3) and the line x=3, y=7+t, z=1+t is

Question 13 :
The point in the $xy -$ plane which is equidistant from $(2, 0, 3), (0, 3, 2)$ and $(0,0, 1)$ is 

Question 14 :
The distance from the origin to the centroid of the tetrahedron formed by the points $(0, 0, 0), (3, 0, 0), (0, 4, 0), (0, 0, 5)$ is

Question 15 :
If P $(3, 2, -4)$ , Q $(5, 4, -6)$ and R $(9, 8, -10)$ are collinear, then R divides PQ in the ratio

Question 16 :
The point $P$ is on the $y$-axis. If $P$ is equidistant from $(1,2, 3)$ and $(2,3, 4)$, then $P_{y}=$

Question 17 :
The distance from the origin to the centroid of the tetrahedron formed by the points $(0, 0, 0), (a, 0, 0), (0, b, 0), (0, 0, c)$ is:

Question 18 :
If two vertices of an equilateral triangle are $(2, 1, 5)$ and $(3, 2, 3)$, then its third vertex is:

Question 19 :
The distance of the point $P(a, b, c)$ from the $x$-axis is.

Question 20 :
Let $A= \left ( 1,2,3 \right )B= \left ( -1,-2,-1 \right )C= \left ( 2,3,2 \right )$ and $ D= \left ( 4,7,6 \right )$. Then $ABCD$ is a

Question 21 :
Find the ratio in which (the plane) $2x+3y+5z=1$ divides the line joining the points $(1,0,-3)$ and $(1,-5,7)$.

Question 22 :
$A = (2, 3, 0)$ and $B = (2,1, 2)$ are two points. If the points $P, Q$ are on the line $AB$ such that $AP= PQ = QB$, then $PQ=$

Question 23 :
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

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