Marking Scheme

Marking Scheme
Let ⃗⃗⃗⃗⃗⃗ ⃗ ⃗⃗⃗⃗⃗⃗ ⃗
O is the centre of the circle.
⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗ ⃗
is an angle formed in a semi circle
to prove :
In
In
⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗
⃗ ⃗
( ⃗ ⃗)
⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗
( ⃗ ⃗)
Now,
⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗ ( ⃗ ⃗) ( ⃗ ⃗)
Marking scheme
(( ⃗) ( ⃗) )
ITEM – 21
1
( )
Here,
then,
⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗ ( )
⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗
ACB=90 o
Since, the dot product is zero, the two vector ⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗ are
perpendicular.
ITEM-22
Marking scheme
(i)
( ) ( )
1
( ) ( )
( ) ( )
(ii)
( ) ( )
( ) ( ) 1
( ) ( )
(iii) Accurate graphing (Reflection in x – axis) 1
(iv) Accurate graphing (Reflection in y = 2) 1
(i) * + * +
(ii) * +
(iii) * +
ITEM_23
(iv) Required image ( ) ( ) ( ) ( ) 1
A
⃗
C
O
⃗
⃗
B
1
1
1
1
1
1
331
NB : Give relevant marks for alternative method.
ITEM – 25
9