Marking Scheme

* +
= * +
⁄
– ⁄
[– ⁄ ⁄ ]
* +
(iv) Find out the correct values of x and y
x= 3
y = 4 1
1
331
Marking scheme
(i)
ITEM_14
i.e. slope ( ) 1
(ii) Slope of parallel line 1
(iii) ( ) 1
(iv)
Required equation is 1
ITEM-15
Marking scheme
(i) Given that general equation of 1 st degree are
a 1 x + b 1 y+c 1 = 0 -----------------(i)
a 2 x+b 2 y+c 2 = 0 -----------------(ii)
Equation passing through the origin and parallel to the lines
(i) and (ii) are
(a 1 x + b 1 y = 0 --------(iii)
a 2 x+b 2 y = 0------- (iv) respectively 1
(ii) Multiplying equation (iii) and (iv)
(a 1 x+ b 1 y) (a 2 x + b 2 y) = 0 --------(v)
a 1 a 2 x 2 + a 1 b 2 xy + a 2 b 1 xy+ b 1 b 2 y 2 =0 1
Marking scheme
(iii) a 1 a 2 x 2 ( a 1 b 2 + a 2 b 1 ) xy + b 1 b 2 y 2 =0
Substituting a 1 a 2 = a b 1 b 2 = b and
( a 1 b 2 + a 2 b 1 ) = 2h in above equation 1
(iv) ax 2 + 2xy + by 2 = 0
Which represent the homogeneous equation of second degree
ITEM –16
1
i
Finding the center of circle from the given points and equations
…………(i)
………(ii)
1
ii ( ) ( ) 1
iii
iv
calculating the exact radius
( )
√
Equation of required circle
ITEM-17
1
1
6