The equation of the locus of the point `(1+r/4,-1+r/3,2)`, where `r in R`, is given by

Given n sraight lines and a fixed point O.A straight line is drawn through O meeting these lines in the points R_(1),R_(2),R_(3),……R_(n) and a point R is taken on it such that n/(OR)= sum_(r=1)^(n) 1/(OR_(r)) , Prove that the locus of R is a straight line .

Given n sraight lines and a fixed point O.A straight line is drawn through O meeting these lines in the points R_(1),R_(2),R_(3),……R_(n) and a point R is taken on it such that n/(OR)= sum_(r=1)^(n) 1/(OR_(r)) , Prove that the locus of R is a straight line .

The combined resistance R of two resistance R_1 and R_2 , where R_1, R_2 ge 0 is given by (1/R) = (1/R_1) + (1/R_2) . If R_1 + R_2 =c (where c is constant), show that the maximum resistance R is obtained by choosing R_1 = R_2

Any point on a line has the coordinates (r+1, r-3, rsqrt(2)+4) where r is any real number. The d.r's of the line are

If R is a reation on the set A={1,2,3} given by R={(1,1),(2,2)(1,3)} then R is

If R is a relation on the set A={1,2,3} given by R={(1,1),(2,2),(3,3)} , then R is

If R is a relation on the set A={1,2,3} given by R={(1,1),(1,2),(2,1)} , then R is

The circuit is shown in the following figure. The potential at points A, B, C, D and O are given. The currents in the resistance R_(1), R_(2) and R_(3) are in the ratio of 4:2:1 . What is the ratio of resistance R_(1),R_(2),R_(3) and R_(4) ?

When is a relation R on a set A not transitive ? Let A={1,2,3,4} and a relation R on A be given by R={(2,3),(2,2), (3,1), (3,2), (4,1)} Is R transitive on A?