39.2x^(2)+3sqrt(3)x+3

lim_(x rarr sqrt(3))(x^(2)-3)/(x^(2)+3sqrt(3)x-12)

obtain all other zeroes of the polynomial x^(4)-3sqrt(2)x^(3)+3x^(2)+3sqrt(2)x-4, if two zeroes are sqrt(2) and 2sqrt(2)

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is (1) y^2-x^2+2sqrt(3)x+3=0 (2) y^2-x^2+2sqrt(3)x-3=0 (3) y^2-x^2-2sqrt(3)x+3=0 (4) y^2-x^2+3=0

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , on in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is (1) y^2-x^2+2sqrt(3)x+3=0 (2) y^2-x^2+2sqrt(3)x-3=0 (3) y^2-x^2-2sqrt(3)x+3=0 (4) y^2-x^2+3=0

Factorise sqrt(3)x^(2)+10x+3sqrt(3)

Factorise sqrt(3)x^(2)+10x+3sqrt(3)

lim_(x rarr sqrt(2))(x^(2)-3sqrt(2)x+4)/(x^(3)+7x-9sqrt(2))

(4) sqrt(3)x^(2)+2x-sqrt(3)=0