Find the equation of a plane containing ...

Find the equation of a plane containing the lines `(x-5)/(4)=(y-7)/(4)= (z+3)/(-5) and (x-8)/(7)=(y-4)/(1) = (z-5)/(3)`.

Topper's Solved these Questions

THEORY OF EQUATIONS
CENGAGE ENGLISH|Exercise JEE ADVANCED (Numerical Value Type )|1 Videos
THREE-DIMENSIONAL GEOMETRY
CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the plane containing the lines (x-5)/4=(y-7)/4=(z+3)/(-5)a n d(x-8)/7=(y-4)/1=(z-5)/3dot

Show that the lines (x-5)/4=(y-7)/4=(z+3)/(-5) and (x-8)/7=(y-4)/1=(z-5)/3 intersect each other

Find the equation of a plane passing through the parallel lines (x-3)/(1) = (y+2)/(-4) = z/5 and (z-4)/(1) = (y-3)/(-4) = (z-2)/(5) are coplanar. Also find the equation of plane in which these lines lie.

Find the acute angle between the lines (x-4)/(3)=(y+3)/(4)=(z+1)/(5) " and" (x-1)/(4)=(y+1)/(-3)=(z+10)/(5)

Find the equation of the plane passing through the line (x-1)/5=(y+2)/6=(z-3)/4 and point (4,3,7)dot

Find the vector equation of the line (x-5)/(3) = (y+4)/(7) = (z-5)/(2) .

The perpendicular distance from the origin to the plane containing the two lines, (x+2)/3=(y-2)/5=(z+5)/7 and (x-1)/1=(y-4)/4=(z+4)/7 is: (a) 11sqrt6 (b) 11/(sqrt6) (c) 11 (d) 6sqrt(11)

The equation of the plane which is equally inclined to the lines (x-1)/2=y/(-2)=(z+2)/(-1)a n d=(x+3)/8=(y-4)/1=z/(-4) and passing through the origin is/are a. 14 x-5y-7z=0 b. 2x+7y-z=0 c. 3x-4y-z=0 d. x+2y-5z=0

Find the equation of the plane containing the line (x+1)/3=(y-3)/5=(z+2)/(-2) and the point (0,7,-7) and show that the line x/1=(y-7)/(-3)=(z+7)/2 also lies in the same plane.

CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions

Find the equation of the line passing through the intersection of (x...
Text Solution
|
The straight line (x-3)/3=(y-2)/1=(z-1)/0 is (a)Parallel to x-axis ...
Text Solution
|
Find the equation of a plane containing the lines (x-5)/(4)=(y-7)/(4)=...
Text Solution
|
Find the equation of the plane passing through the points (1,0,-1)a...
Text Solution
|
Find the equation of the sphere described on the joint of points Aa...
Text Solution
|
Find the radius of the circular section in which the sphere | vec r|...
Text Solution
|
Find the equation of a sphere which passes through (1,0,0)(0,1,0)a ...
Text Solution
|
Find the locus of a point which moves such that the sum of the squares...
Text Solution
|
Find the equation of the sphere which has centre at the origin and tou...
Text Solution
|
Find the equation of the sphere which passes through (1,0,0),(0,1,0)...
Text Solution
|
Find the equation of a sphere whose centre is (3,1,2) radius is 5.
Text Solution
|
Find the equation of the sphere passing through (0,0,0),(1,0,0),(0,1...
Text Solution
|
Find the image of the line (x-1)/(9)=(y-2)/(-1)=(z+3)/(-3) in the plan...
Text Solution
|
Find the equations of the bisectors of the angles between the plane...
Text Solution
|
If the x-coordinate of a point P on the join of Q(2,2,1)a n dR(5,1,-...
Text Solution
|
A sphere of constant radius k passes through the origin and meets the ...
Text Solution
|
A variable plane passes through a fixed point (a ,b ,c) and cuts th...
Text Solution
|
Show that the plane 2x-2y+z+12=0 touches the sphere x^2+y^2+z^2-2x-4y+...
Text Solution
|
If O is the origin, OP = 3, with direction ratios -1, 2 and -2, then f...
Text Solution
|
If P(x,y,z) is a point on the line segment joining Q(2,2,4) and R(3,5,...
Text Solution
|