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 variable plane passes through a fixed point (a,b,c) and meets the axes at A ,B ,a n dCdot The locus of the point commom to the planes through A ,Ba n dC parallel to the coordinate planes is

A point P moves on the plane (x)/(a)+(y)/(b)+(z)/(c)=1 . The plane, drawn through prependicular to OP meets the axes in L,M,N. the palnes through L,M,N, parallel to the coordinate plane meet in a point Q, then show that the locus of Q is given by the equation : x^(-2)+y^(-2)z^(-2)=(1)/(ax)+(1)/(by)+(1)/(cz) .

A line passing through the origin O(0,0) intersects two concentric circles of radii aa n db at Pa n d Q , If the lines parallel to the X-and Y-axes through Qa n dP , respectively, meet at point R , then find the locus of Rdot

Show that the equation of the plane which passes through the point (1,2,3) and parallel to the plane 3x+4y-5z=0 is 3x+4y-5z+4=0 .

A plane meets the coordinates axes in A, B, C such that the centroid of the triangle ABC is the point (a,a,a) .Then the equation of the plane is x+y+z=p , where p is ___

Find the equation of the plane passing through the point (1,1,-1,) and prependicular to the planes x+2y+3z-7=0 and 2x-3y+4z=0 .

A straight line is drawn through P(3,4) to meet the axis of x and y at Aa n dB , respectively. If the rectangle O A C B is completed, then find the locus of Cdot

Find the equation of the plane passing through the point (4,1,1) and parallel to 3x-4y+7z+5 =0

A variable plane passes through the point (f, g, h ) and meets the axes at L, M and N. If the planes through L,M,N and parallel to the axes at P, then prove the locus of P is (f)/(x)+(g)/(y)+(h)/(z)=1 .

Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes x+2y+3z=5a n d3x+3y+z=0.