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Integrate tanxdx/√5+9tan^2x || int. of tanxdx/√5+9tan^2x

Integrate dx/1-cosx+sinx || int. of dx/1-cosx+sinx

Integrate dθ/sinθ.cos^3θ

Integrate sin^2x.cos^5xdx

Find the limiting points of the system (i)x^2+y^2+2x+4y+7=0 and x^2+y^2+5x+y+4=0

Show that all circles of a Co-axal system are cut orthogonally by every circle passing through the

State whether the following statements are correct.If S is any set.(i)S∈P(S), (ii){S}∈P(S)

Let A={4^n-3n-1|n∈N} and B={9(n-1)|n∈N} where N is set of natural numbers. Prove that A⊂B

Are the following sets equal? A={x|x^3-8=0 and x is real}

Find the equation of the circle circumscribing the triangle formed by the axes and the line ax+by=1

(19) Find the radical centre of the circles (iv)x^2+y^2=r^2,(x-a)^2+y^2=r^2nd x^2+(y-b)^2=r^2

Find the radical centre of the circles x^2+y^2+x+2y+3=0,x^2+y^2+2x+4y+5=0 and x^2+y^2-7x-8y-9=0

Find the proper subsets of the set S={x,y,z}

If A={x|x belongs to Q and x^2+3x-10=0} and {x|x belongs to I and x lies between -5 to 7 by 3} then

Find the singleton sets and null sets in the following given sets (i)A={x|x+5=5} (ii)B={x|x^2=16,2x=

Write down all the possible subsets of the following: (i) S={1,2,3} (ii) S={0,2,3,4}

Prove that the length of the common chord of the circles (i)x^2+y^2+2λx+c^2=0 and x^2+y^-2μy-c^2=0

Find the equation to the circle which cuts orthogonally each of the circles (iv) x^2+y^2+3x-5y+6=0

Find the equation to the circle which cuts orthogonally each of the circles (iii) x^2+y^2+2y+8=0

Find the equation to the circle which cuts orthogonally each of the circles (ii) x^2+y^2-4x+6y+10=0

Find the equation to the circle which cuts orthogonally each of the circles (i) x^2+y^2-6x+8=0 and