Friday

April 25, 2014

April 25, 2014

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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