MCQExams
0:0:1
CBSE
JEE
NTSE
NEET
Practice
Homework
×
CBSE Questions for Class 11 Engineering Maths Introduction To Three Dimensional Geometry Quiz 12 - MCQExams.com
CBSE
Class 11 Engineering Maths
Introduction To Three Dimensional Geometry
Quiz 12
The points (-2,14),(-6,8),(0,4),(4,10) taken in order, form
Report Question
0%
a parallelogram
0%
a rectangle
0%
a rhombus
0%
a square
Vertices of a parallelogram taken in order are $$A(2 , -1,4)$$; $$B(1, 0, -1)$$, $$C(1,2,3)$$ and D.
Report Question
0%
$$\sqrt { 6 } $$
0%
$$3\sqrt { 6/5 }$$
0%
$$2\sqrt { 2 } $$
0%
3
The points of trisection of the line segment joining (2, -3, 5), (3 , 1, -2) are
Report Question
0%
(8/3,-1/3, 1/3), (7/3,-5/3,8/3)
0%
(7/3, 4, 13/3), (8/3, 3, 14/3)
0%
(-8/3, -1/3, 1/3), (7/3, -5/3, 8/3)
0%
(-7/3, 4, 13/3), (8/3, 3, 14/3)
If the distance between the points (5,-1,7) and (c,5,1) is 9 then c=
Report Question
0%
8
0%
4
0%
-8
0%
-4
If R divides the line segment joining p(2,3,4) and Q(4,5,6) in the ratio -3 : 2 , then the value of the parameter which represents R is
Report Question
0%
3
0%
2
0%
1
0%
-1
Explanation
$${\textbf{Step1: Find coordinates of the point which divide two points internally.}}$$
$${\text{Given points are P(2,3,4) & Q(4,5,6)}}$$
$${\text{ratio is}}$$
$$ = - \dfrac{3}{2} = \dfrac{m}{n}$$
$$\text{We know that, the coordinates of the point}$$ $$P(x, y, z)$$ $$\text{dividing the line segment}$$
$$\text{joining the points}$$ $$A(x_1, y_1, z_1)$$ $$\text{and}$$ $$ B(x_2, y_2, z_2)$$ $$\text{in the ratio m : n internally is}$$
$$\text{} = \left( {\dfrac{{m{x_2} + nx_1}}{{m + n}},\dfrac{{m{y_2} + ny_1}}{{m + n}},\dfrac{{m{z_2} + nz_1}}{{m + n}}} \right)$$
$${\text{Let, }}$$
$${\text{R be}}$$
$$\left( {{x_{3,}}{y_{3,}}{z_3}} \right)$$
$$\text{R} = \left( {\dfrac{{m{x_2} + nx_1}}{{m + n}},\dfrac{{m{y_2} + ny_1}}{{m + n}},\dfrac{{m{z_2} + nz_1}}{{m + n}}} \right)$$
$$ = \left( {\dfrac{{ - 3(4) + 2(2)}}{{ - 3 + 2}},\dfrac{{ - 3(5) + 2(3)}}{{ - 3 + 2}},\dfrac{{ - 3(6) + 2(4)}}{{ - 3 + 2}}} \right)$$
$$ = \left( {\dfrac{-8}{{ - 1}},\dfrac{-9}{{ - 1}}, \dfrac{{-10}}{{ - 1}},} \right)$$
$$ = (8,9,10)$$
$${\textbf{Thus, the value of parameter which represent R is (8,9,10). }}$$
Which of the statement is true ? The coordinate planes divide the line joining the points $$\left ( 4,7,-2 \right )$$ and $$\left ( -5,8,3 \right )$$
Report Question
0%
all externally
0%
two externally and one internally
0%
two internally and one externally
0%
none of these
0:0:1
1
2
3
4
5
6
1
2
3
4
5
6
0
Answered
0
Not Answered
0
Not Visited
Correct : 0
Incorrect : 0
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Practice Class 11 Engineering Maths Quiz Questions and Answers
<
>
Support mcqexams.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page
