[" 17.Equations of the sides "QR,RP" are "],[[" (a) "y=(2)/(sqrt(3))x+1,y=-(2)/(sqrt(3))x-1" (b) "y=(1)/(sqrt(3))x,y=0,],[" (c) "y=(sqrt(3))/(2)x+1,y=-(sqrt(3))/(2)x-1" (d) "y=sqrt(3)x,y=0]]

A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equation sqrt3 x+ y -6 = 0 and the point D is ((3sqrt3)/2, 3/2) . Further, it is given that the origin and the centre of C are on the same side of the line PQ. (1)The equation of circle C is (2)Points E and F are given by (3)Equation of the sides QR, RP are A. y=(2)/(sqrt3)+x+1,y=-(2)/(sqrt3)x-1 B. y=(1)/(sqrt3)x,y=0 C. y=(sqrt3)/(2)x+1,y=-(sqrt3)/(2)x-1 D. y=sqrt3x,y=0

A circle C of radius 1 is inscribed in an equilateral triangle PQR . The points of contact of C with the sides PQ, QR, RP and D, E, F respectively. The line PQ is given by the equation sqrt(3) +y-6=0 and the point D is ((sqrt(3))/(2), 3/2) . Equation of the sides QR, RP are : (A) y=2/sqrt(3) x + 1, y = 2/sqrt(3) x -1 (B) y= 1/sqrt(3) x, y=0 (C) y= sqrt(3)/2 x + 1, y = sqrt(3)/2 x-1 (D) y=sqrt(3)x, y=0

A circle C of radius 1 is inscribed in an equilateral triangle PQR. The points of contact of C with the sides PQ, QR, RP are D, E, F, respectively. The line PQ is given by the equation sqrt3 x+ y -6 = 0 and the point D is (3 sqrt3/2, 3/2). Further, it is given that the origin and the centre of C are on the same side of the line PQ. The equation of circle C A. y=(2)/(sqrt3)+x+1,y=-(2)/(sqrt3)x-1 B. y=(1)/(sqrt3)x,y=0 C. y=(sqrt3)/(2)x+1,y=-(sqrt3)/(2)x-1 D. y=sqrt3x,y=0

sqrt(2)x+sqrt(3)y=0sqrt(3)x-sqrt(8)y=0

(2)/(sqrt(x))+(3)/(sqrt(y))=2 and (4)/(sqrt(x))-(9)/(sqrt(y))=-1

sqrt(2)x+sqrt(3)y=0 sqrt(3)x+sqrt(8)y=0

if x=sqrt(3)+(1)/(sqrt(3)) and y=sqrt(3)-(1)/(sqrt(3)) then x^(2)-y^(2) is

A vertex of an equilateral triangle is at (2, 3), and th equation of the opposite side is x+y=2 , then the equaiton of the other two sides are (A) y=(2+sqrt(3)) (x-2), y-3=2sqrt(3)(x-2) (B) y-3=(2+sqrt(3) (x-2), y-3= (2-sqrt(3) (x-2) (C) y+3=(2-sqrt(3)(x-2), y-3=(2-sqrt(3) (x+2) (D) none of these

Solve: (2)/(sqrt(x))-(3)/(sqrt(y))=2 and (4)/(sqrt(x))-(9)/(sqrt(y))=-1

{:((2)/(sqrt(x))+ (3)/(sqrt(y)) = 2),((4)/(sqrt(x))-(9)/(sqrt(y)) = -1):}