Home
Class 11
MATHS
Two system of rectangular cartesian coor...

Two system of rectangular cartesian coordinate axes have the same origin. If a plane cuts them at distance a, b, c and p, q, r from the origin, the show that `(1)/(a^(2))+(1)/(b^(2))+(1)/(c^(2))=(1)/(p^(2))+(1)/(q^(2))+(1)/(r^(2))`.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • PLANES

    AAKASH SERIES|Exercise EXERCISE - 8.1 (VERY SHORT ANSWER QUESTIONS)|16 Videos
  • PLANES

    AAKASH SERIES|Exercise EXERCISE - 8.1 (SHORT ANSWER QUESTIONS)|16 Videos
  • PLANES

    AAKASH SERIES|Exercise SOLVED EXAMPLES|5 Videos
  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

Similar Questions

Explore conceptually related problems

Two systems of rectangular axes have the same origin. If a plane cuts them at distances a, b, c and a^(1),b^(1),c^(1) from the origin, then

Show that (1)/(r^(2))+(1)/(r_(1)^(2))+(1)/(r_(2)^(2))+(1)/(r_(3)^(2))=(a^(2)+b^(2)+c^(2))/(Delta^(2))

If (1)/(a^(2)), (1)/(b^(2)), (1)/(c^(2)) are in H.P., then

If p is the perpendicular distance from the origin to the straight line x/a+y/b=1 , then 1/(a^(2))+1/(b^(2))=

In Delta ABC , ( Delta ^(2))/( a^(2) + b^(2) + C^(2)) {(1)/( r_1^(2) ) + ( 1)/( r_2^(2) ) +(1)/( r_3^(2)) +(1)/( r^(2)) } =

Find the distance of the point P(1, 2, 3) from the coordinates axes.

The distance of point P (1,2,3) from the coordinate axes are

A point P moves on the fixed plane (x)/(a)+(y)/(b)+(z)/(c )=1 the plane through the point P and perpendicular to the line bar(OP) where O=(0,0,0) meets coordinate axes in A, B, C. Show that the locus of the point of intersection of the planes through A, B, C and parallel to the cooridnate planes is (1)/(x^(2))+(1)/(y^(2))+(1)/(z^(2))=(1)/(ax)+(1)/(by)+(1)/(cz) .