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SRE-231<br />
3.a<br />
* + * +<br />
* +<br />
1<br />
| | | |<br />
1<br />
3.b<br />
4.a<br />
Slope of<br />
Slope of<br />
Comparing<br />
is<br />
is<br />
and<br />
1<br />
1<br />
1<br />
For perpendicular<br />
4.b<br />
or,<br />
1<br />
or, , which is true<br />
Hence the results.<br />
equation of the circle is<br />
( ) ( )<br />
1<br />
( ) ( )<br />
1<br />
5.a<br />
( )<br />
1<br />
5.b 1<br />
6.a<br />
( )<br />
= )<br />
1<br />
1<br />
1<br />
√<br />
√<br />
√<br />
√<br />
√<br />
1<br />
6.b<br />
√<br />
1<br />
1<br />
let, ⃗⃗⃗⃗⃗ ( )<br />
⃗⃗⃗⃗⃗ ⃗ ( )<br />
7.a<br />
| | √ √<br />
| ⃗ | √<br />
⃗<br />
1<br />
Let be an angle between<br />
⃗<br />
| ⃗⃗⃗⃗⃗ | | ⃗⃗⃗⃗⃗ |<br />
and ⃗ then<br />
1<br />
2