" c9) "6x^(2)-sqrt(2)x-2=0

Without solving , comment upon the nature of roots of each of the following equations : (i) 7x^(2)-9x+2=0 (ii) 6x^(2)-13x+4=0 (iii) 25x^(2)-10x+1=0 (iv) x^(2)+2sqrt(3)x-9=0 (v) x^(2)-ax-b^(2)=0 (vi) 2x^(2)+8x+9=0

Test which of the following is solutions of 6x^2-sqrt2x-2=0 i) -sqrt2/3 ,ii) -sqrt2 ,iii) 1/sqrt2 ,iv) sqrt(2/3)

Determine whether a given equation is quadratic or not (i) x^(2)-6x+4=0 (ii) x^(2)+2sqrt(x)+3=0

Find the roots of the following equations. 6sqrt(5)x^(2)-9x-3sqrt(5)=0

lim_(x rarr3)((x^(2)-9-sqrt(x^(2)-6x+9)))/(|x-1|-2)

The equation of the incircle of equilateral triangle ABC where B-=(2,0),C-=(4,0) and A lies in the fourth quadrant is x^(2)+y^(2)-6x+(2y)/(sqrt(3))+9=0x^(2)+y^(2)-6x-(2y)/(sqrt(3))+9=0x^(2)+y^(2)+6x+(2y)/(sqrt(3))+9=0 none of these

Write the discriminant of the following quadratic equations and mention the nature of the root : (a) 9x^(2)-6x+1=0 (b) x^(2)+x-12=0 (c ) 4sqrt3x^(2)+5x+2sqrt3=0

The value of int(dx)/((x^(2)-6x+9)sqrt(x^(2)-6x+4)) is

A solution of sin^-1 (1) -sin^-1 (sqrt(3)/x^2)- pi/6 =0 is (A) x=-sqrt(2) (B) x=sqrt(2) (C) x=2 (D) x= 1/sqrt(2)