# Posts by manjula

Total # Posts: 12

math
the axes are rectangular and a point P moves on the fixed plane lx+my+nz=p.the plane through P perpendicular to OP meets the axes in A,B,C parallel to YOZ,ZOX,XOY intersect in Q.show that the locus of Q is p{1/x2+1/y2+1/z2}=l/x+m/y+n/z

analytical geometry
the axes are rectangular and a point P moves on the fixed plane lx+my+nz=p.the plane through P perpendicular to OP meets the axes in A,B,C parallel to YOZ,ZOX,XOY intersect in Q.show that the locus of Q is p{1/x2+1/y2+1/z2}=l/x+m/y+n/z

analytical geometry
two edges PQ,RS of a tetrahedron PQRS are perpendicular,show that the distance between the mid-points of PS and QR is equal to the distance between the mid points of PR and QS

analytical geometry
if (l1,m1,n1),(l2,m2,n2),(l3,m3,n3) are the direction cosines of three mutual perpendicular lines,show that the line whose direction ratios area l1+l2+l3,m1+m2+m3,n1+n2+n3 make equal angles with them

analytical geometry
show that the locus of a point whose distances from two given planes are in a constant ratio, is a plane.

analytical geometry
show that the locus of a point whose distances from two given planes are in a constant ratio, is a plane.

analyytical geometry
find the equation of the planes 5x-3y+4=0 and x+y-2z+10=0 and which are 1 unit distance from the origin.?

analytical geometry
two edges PQ,RS of a tetrahedron PQRS are perpendicular,show that the distance between the mid-points of PS and QR is equal to the distance between the mid points of PR and QS

analytical geometry
if (l1,m1,n1),(l2,m2,n2),(l3,m3,n3) are the direction cosines of three mutual perpendicular lines,show that the line whose direction ratios area l1+l2+l3,m1+m2+m3,n1+n2+n3 make equal angles with them

analytical geometry
if in a tetrahedron the sums of the squares of opposite sides are equal,show that its pairs of opposite sides are right angles

math
show that the locus of a point whose distances from two given planes are in a constant ratio, is a plane.

math
find the equation of the planes 5x-3y+4=0 and x+y-2z+10=0 and which are 1 unit distance from the origin.?

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