[" (iii) "quad (x-2)^(2)+(y+1)^(2)=9],[(x+1)^(2)+(y-3)^(2)=4]

Discuss the relative position of the following pair of circles. (x-2)^(2) + (y+ 1) ^(2) = 9, (x+ 1) ^(2) + (y-3)^(2) = 4

Discuss the relative position of the fol- lowing pair of circles. (x-2)^(2) + (y+ 1) ^(2) = 9, (x+ 1) ^(2) + (y-3)^(2) = 4

(x+1)/(2)+(y+1)/(3)=9,(x-1)/(3)+(y+1)/(2)=8 then x=………

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

{:("Column" A ,, "Column" B), ((3x^(2) - 5)- (2x^(2) - 5 + y^(2)) ,, (a) x^(2) + xy + y^(2)) , (9x^(2) - 16y^(2) ,, (b) 2) , ((x^(3) - y^(3))/(x-y) ,, (c) (9x + 16y) (9x - 16y)) , ("The degree of " (x + 2) (x+3) ,, (d) x^(2) - y^(2)) , (,, (e) 1) , (,, (f) (3x + 4y) (3x - 4y)):}

{:(,"Hyperbola point ",,"Centre"),(I,4(x+3) ^(2) -9(y-2)^(2) =36",", ,(a) ("2,-1")),(II,3(x-3) ^(2) -4(y-1)^(2) =12",",,(b) ("-3,2")),(III,9(x-2) ^(2) (2) -5(y-1) ^(2) = 45"," ,,(c) (2,1)) ,(IV,x^(2) -4x-y^(2) -2y -8=0",",,(d) ("3,1")):}

if (x_(1),x_(2))^(2)+(y_(1)-y_(2))^(2)=a^(2), (x_(2)-x_(3))^(2)+(y_(2)-y_(3))^(2)=b^(2) (x_(3)-x_(1))^(2)+(y_(3)-y_(1))^(2)=c^(2). where a,b,c are positive then prove that 4 |{:(x_(1),,y_(1),,1),(x_(2) ,,y_(2),,1),( x_(3),, y_(3),,1):}| = (a+b+c) (b+c-a) (c+a-b)(a+b-c)

if (x_(1)-x_(2))^(2)+(y_(1)-y_(2))^(2)=a^(2), (x_(2)-x_(3))^(2)+(y_(2)-y_(3))^(2)=b^(2) (x_(3)-x_(1))^(2)+(y_(3)-y_(1))^(2)=c^(2). where a,b,c are positive then prove that 4 |{:(x_(1),,y_(1),,1),(x_(2) ,,y_(2),,1),( x_(3),, y_(3),,1):}| = (a+b+c) (b+c-a) (c+a-b)(a+b-c)