Rhombus and squares are ........................ to each other.

All animals are............. in food chain.

Fig. shown a uniform square plate from identical squares at the corners can be removed. (a) Where is the centre of mass of the plate originally ? (b) Where is it after square 1 is removed ? (c ) where is it after squares 1 and 2 are removed ? (d) Where is c.m after squares 1, 2, 3, are removed ? (f) Where is c.m after all the four squares are removed ? Answer in terms of quadrants and axes.

If the diagonal of a square is 'a' units, what is the diagonal of the square, whose are is doubel that of the first square?

If A and B are square matrices of the same order such that AB=Ba , then prove by inducation that AB^(n)=B^(n)A . Further , prove that (AB)^(n)=A^(n)B^(n) for all n in N .

Write contrapositive and converse of the following statements: If square ABCD is a square then its diagonals are congruent.

A square of n units is divided into n^(2) squares each of area 1 sq unit. Find the number of ways in which 4 points (out of (n+1)^(2) vertices of the squares) can be chosen so that they form the vertices of a square.