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88 Maths Exercise Solutions

A rod of length 12 cm moves with its ends always touching the coordinate axes. Determine the equation of the locus of a point on the rod which is 3 cm from the end in contact with the x-axis.

Let . Insert the appropriate symbol or in the blank spaces:

0…. A

0…. A

Let the sequence be defined as follows: . Find first five terms and write corresponding series.

Write the first five terms of each of the sequences in

and obtain the corresponding series

and obtain the corresponding series

Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:

{ is a triangle in a plane} . . . { is a rectangle in the plane}

{ is a triangle in a plane} . . . { is a rectangle in the plane}

The terms of a G.P. are p,q and s, respectively. Show that

Given the sets , and , which of the following may be considered as universal set (s) for all the three sets A, B and C.

The sum of two numbers is 6 times their geometric means, show that numbers are in the ratio .

If a, b, c and d are in G.P, prove that are in G.P

If , form the set

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