[" 13."x^(2)+6x+5=0],[" 14"8x^(2)-22x-21=0]

(i) x^(2) + 6x + 5 = 0 (ii) y^(2) -10y+21 = 0

If (2a-5)x^(2)-4x-15=0 and (3a-8)x^(2)-5x-21=0} have equal root then

Find the nature of the roots of the following quadratic equations: (i) 2x^(2)-8x+5=0" "(ii)" "3x^(2)-2sqrt(6)x+2=0 (iii) 5x^(2)-4x+1=0" "(iv)" "5x(x-2)+6=0 (v) 12x^(2)-4sqrt(15)x+5=0" "(vi)" "x^(2)-x+2=0

If x^(2)-8x+13 = 0, x =

The curve 5x^(2)+12xy-22x-19=0 is

(3,-4) is the point to which the origin is shifted and the transformed equation is X^(2)+Y^(2)=4 then the original equation is (A) x^(2)+y^(2)+6x+8y+21=0 (B) x^(2)+y^(2)+6x+8y-21,=0 (C) x^(2)+y^(2)-6x+8y+21=0 (D) x^(2)+y^(2)-6x-8y+21=0

If 3 - sqrt(2) is a root of x^(4) - 8x^(3) + 21x^(2) - 26x + 14 = 0 then the roots are

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

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-8x-6y-21=0 x^(2)+y^(2)-2x-15=0and(1,2)