Home
Class 12
MATHS
A point P moves on a plane (x)/(a)+(y)/(...

A point P moves on a plane `(x)/(a)+(y)/(b)+(z)/(c)=1.` A plane through P and perpendicular to OP meets the
coordinate axes at A, B and C.If the parallel to the planes x=0,y=0 and z=0, respectively, intersect at Q, find the locus of Q.

Answer

Step by step text solution for A point P moves on a plane (x)/(a)+(y)/(b)+(z)/(c)=1. A plane through P and perpendicular to OP meets the coordinate axes at A, B and C.If the parallel to the planes x=0,y=0 and z=0, respectively, intersect at Q, find the locus of Q. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Exercise (Subjective Type Questions)|9 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpendicular to O P meets the coordinate axes at A , Ba n d Cdot If the planes through A ,Ba n dC parallel to the planes x=0,y=0a n dz=0, respectively, intersect at Q , find the locus of Qdot

A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpendicular to O P meets the coordinate axes at A , Ba n d Cdot If the planes through A ,Ba n dC parallel to the planes x=0,y=0a n dz=0, respectively, intersect at Q , find the locus of Qdot

Knowledge Check

  • A plane meets the coordinate axes at A, B and C respectively such that the centroid of triangle ABC is (p, q, r). The equation of the plane is

    A
    `x/p+y/q+z/r=1`
    B
    `x/p+y/p+z/r=1/3`
    C
    `p/z+q/y+r/z=3`
    D
    `x/p+y/q+z/r=3`

    • Similar Questions

    Explore conceptually related problems

    The equation of the plane through the point (1,2,3) and parallel to the plane x+2y+5z=0 is

    The plane x/a+y/b+z/c=1 meets the coordinate axes at A,B and C respectively. Find the equation of the sphere OABC.

    The plane x/a+y/b+z/c=1 meets the coordinate axes at A,B and C respectively. Find the equation of the sphere OABC.

    The plane x/a+y/b+z/c=1 meets the co-ordinate axes in the point A, B, C respectively. Find the area triangle ABC.

    The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

    The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

    A variable plane at constant distance p form the origin meets the coordinate axes at P,Q, and R. Find the locus of the point of intersection of planes drawn through P,Q, r and parallel to the coordinate planes.

    Home
    Profile