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" (iv) "2y^(4)+y^(2)-2y-1...

" (iv) "2y^(4)+y^(2)-2y-1

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Find the number of possible common tangents of following pairs of circles (i) x^(2)+y^(2)-14x+6y+33=0 x^(2)+y^(2)+30x-2y+1=0 (ii) x^(2)+y^(2)+6x+6y+14=0 x^(2)+y^(2)-2x-4y-4=0 (iii) x^(2)+y^(2)-4x-2y+1=0 x^(2)+y^(2)-6x-4y+4=0 (iv) x^(2)+y^(2)-4x+2y-4=0 x^(2)+y^(2)+2x-6y+6=0 (v) x^(2)+y^(2)+4x-6y-3=0 x^(2)+y^(2)+4x-2y+4=0

Find the number of possible common tangents of following pairs of circles (i) x^(2)+y^(2)-14x+6y+33=0 x^(2)+y^(2)+30x-2y+1=0 (ii) x^(2)+y^(2)+6x+6y+14=0 x^(2)+y^(2)-2x-4y-4=0 (iii) x^(2)+y^(2)-4x-2y+1=0 x^(2)+y^(2)-6x-4y+4=0 (iv) x^(2)+y^(2)-4x+2y-4=0 x^(2)+y^(2)+2x-6y+6=0 (v) x^(2)+y^(2)+4x-6y-3=0 x^(2)+y^(2)+4x-2y+4=0

Check whether the polynomial p (y) = 4y ^(3) + 4y ^(2) -y-1 is a multiple of (2y +1).

Check whether the polynomial p (y) = 4y ^(3) + 4y ^(2) -y-1 is a multiple of (2y +1).

Check whether the polynomial p (y) = 4y ^(3) + 4y ^(2) -y-1 is a multiple of (2y +1).

Check whether the polynomial p (y) = 4y ^(3) + 4y ^(2) -y-1 is a multiple of (2y +1).

Check whether the polynomial p (y) = 4y ^(3) + 4y ^(2) -y-1 is a multiple of (2y +1).

Subtract : 5y^(4) - 3y^(3) + 2y^(2) + y - 1 from 4y^(4) - 2y^(3) - 6y^(2) - y + 5