Exams
Subjects
Classes
Home
Exams
Mathematics
Equation of a Line in Space
the coordinates of the po...
Question:
medium
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
Show Hint
To find the intersection of a line with the \( XY \)-plane, set \( z = 0 \) and solve for the coordinates.
BITSAT - 2013
BITSAT
Updated On:
Mar 25, 2026
\( \left( \frac{13}{5}, 0, 0 \right) \)
\( \left( \frac{13}{5}, 5, 0 \right) \)
\( \left( \frac{13}{5}, 23, 0 \right) \)
\( \left( \frac{13}{5}, 0, 5 \right) \)
Show Solution
The Correct Option is
A
Solution and Explanation
Download Solution in PDF
Was this answer helpful?
0
Top Questions on Equation of a Line in Space
If the foot of the perpendicular drawn from the point \((2,0,1)\) on a line passing through \((\alpha,5,1)\) is \(\left(\frac{7}{3}, \frac{5}{3}, \frac{11}{4}\right)\), then \(\alpha\) is equal to _ _ _ _ _ _
MET - 2023
Mathematics
Equation of a Line in Space
View Solution
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 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
Want to practice more? Try solving extra ecology questions today
View All Questions
Questions Asked in BITSAT exam
The locus of the mid-point of a chord of the circle \( x^2 + y^2 = 4 \), which subtends a right angle at the origin is
BITSAT - 2026
circle
View Solution
A passenger sitting in a train A moving at 90 km/h observes another train B moving in the opposite direction for 8 s. If the velocity of the train B is 54 km/h, then length of train B is:
BITSAT - 2026
Relative Velocity
View Solution
If \( x = \sqrt{2^{\text{cosec}^{-1} t}} \) and \( y = \sqrt{2^{\text{sec}^{-1} t}} (|t| \ge 1) \), then dy/dx is equal to :
BITSAT - 2026
Derivatives of Functions in Parametric Forms
View Solution
If \( f(x) = \int_0^x t(\sin x - \sin t)dt \) then :
BITSAT - 2026
Definite Integral
View Solution
In \( PO_4^{3-} \), the formal charge on each oxygen atom and the P - O bond order respectively are
BITSAT - 2026
Inorganic chemistry
View Solution