Exams
Subjects
Classes
Home
Exams
Mathematics
Equation of a Line in Space
the image of a point p 3 ...
Question:
medium
The image of a point \( P(3,5,3) \) in the line \( \frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3} \) is \( P'(a,b,c) \). Then \( a+b+c = \)
Show Hint
For reflection in a line (3D), use midpoint concept and parametric form of lineIt simplifies calculation instead of vector projection method.
COMEDK UGET - 2025
COMEDK UGET
Updated On:
May 6, 2026
\( -17 \)
\( -7 \)
\( 3 \)
\( 7 \)
Show Solution
The Correct Option is
D
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Equation of a Line in Space
If the line through the points A(k,1,-1) and B(2k,0,2) is perpendicular to the line through the points B and C(2+2k,k,1), then the value of k is
BITSAT - 2021
Mathematics
Equation of a Line in Space
View Solution
The coordinates of the point where the line through the points \( A(3, 4, 1) \) and \( B(5, 1, 6) \) crosses the \( XY \)-plane are
BITSAT - 2013
Mathematics
Equation of a Line in Space
View Solution
The point
$(2, 1)$
is translated parallel to the line
$L : x-y = 4$
by
$2\sqrt{3}$
units. If the new point
$Q$
lies in the third quadrant, then the equation of the line passing through
$Q$
and perpendicular to
$L$
is :
JEE Main - 2016
Mathematics
Equation of a Line in Space
View Solution
The image of the line
$\frac{x-1}{3}=\frac{y-3}{1}=\frac{z-4}{-5}$
in the plane
$2 x - y + z+ 3 = 0$
is the line.
JEE Main - 2014
Mathematics
Equation of a Line in Space
View Solution
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in COMEDK UGET exam
The solution of \( (x+\log y)dy+ydx=0 \) when \( y(0)=1 \) is
COMEDK UGET - 2025
Differential equations
View Solution
The order of the differential equation \( \frac{d}{dz}\left[\left(\frac{dy}{dz}\right)^3\right]=0 \) is
COMEDK UGET - 2025
Order and Degree of Differential Equation
View Solution
Find the value of \( \displaystyle \lim_{h \to 0} \frac{(a+h)^2 \sin(a+h) - a^2 \sin a}{h} \)
COMEDK UGET - 2025
Derivatives
View Solution
\( 0.2 + 0.22 + 0.022 + \cdots \) up to \( n \) terms is equal to
COMEDK UGET - 2025
Sequence and series
View Solution
The solution set of the system of inequalities \( 5-4x \leq -7 \) or \( 5-4x \geq 7,\ x \in R \) is
COMEDK UGET - 2025
linear inequalities
View Solution