Q7 of 29 Page 1

Find:

Let,






⇒ I = tan x – tan-1x + c


Hence,


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5

Let A = Z × Z and * be a binary operation on A defined by (a, b)*(c, d) = (ad + bc, bd).

Find the identity element for * in the set A.

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If find k such that A2 = 5A+kI.

 8

Find:

OR


Find:

9

Form the differential equation of all circles which touch the x-axis at the origin.