(iii) `(x+sqrt2)(x-sqrt3)=0`

The equation of line passing through (2,-3) and making an angle of 120^(@) with positive direction of x- axis is (i) sqrt(3)x-y+3-2sqrt(3)=0 (ii) sqrt(3)x+y-3-2sqrt(3)=0 (iii) sqrt(3)x+y+3-2sqrt(3)=0 (iv) sqrt(3)x+y+3+2sqrt(3)=0

What is the sum of the roots of the equation (x-sqrt2)(x^2-sqrt3x+pi)=0 ?

The equations of lines passing through the point (1,0) and at distance of (sqrt(3))/(2) units from the origin are (i) sqrt(3)x+y-sqrt(3)=0,sqrt(3)x-ysqrt(3)=0 (ii) sqrt(3)x+y+sqrt(3)=0,sqrt(3)x-y+sqrt(3)=0 (iii) x+sqrt(3)y-sqrt(3)=0,x-sqrt(3)y-sqrt(3)=0 (iv) none of these

Solve by factorization: sqrt(3)x^2-2sqrt(2)x-2sqrt(3)=0

Write the discriminant of the following quadratic equations: sqrt(3)x^2+2sqrt(2)x-2sqrt(3)=0 (ii) x^2-x+1=0

Solve the following quadratic equations : (i) 9x^(2) - 8x+2=0 (ii) sqrt7 x^(2) +x+ sqrt7=0 (iii) 2sqrt3x^(2) -sqrt2 x + 3sqrt3 =0

Write the discriminant of the following quadratic equations: sqrt(3)x^2-2sqrt(2)x-2sqrt(3)=0 (ii) x^2+x+1=0 (iii) x^2+p x+2q=0

Determine the nature of roots of the following quadratic equations: (i) 2x^(2)+5x-4=0 (ii) 9x^(2)-6x+1=0 (iii) 3x^(2)+4x+2=0 (iv) x^(2)+2sqrt2x+1=0 (v) x^(2)+x+1=0 (vi) x^(2)+ax-4=0 (vii) 3x^(2)+7x+(1)/(2)=0 (viii) 3x^(2)-4sqrt3x+4=0 (ix) 2sqrt3x^(2)-5x+sqrt3=0 (x) (x-2a)(x-2b)=4ab

Without determining the roots of the following equations comment their nature: (i) 6sqrt3x^(2)-4x+sqrt3=0 (ii) 9a^(2)b^(2)x^(2)-48abcdx+64c^(2)d^(2)=0 (iii) a^(2)x^(2)+2abx=b^(2),a^(2)ne0 (iv) 2(a^(2)+b^(2))x^(2)+2(a+b)x+1=0 (v) (b+c)x^(2)-(a+b+c)x+a=0

Solve using cross-multiplication {:(sqrt(2)x-sqrt(3)y=0),(sqrt(5)x+sqrt(2)y=0):}