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Question 1
The line parallel to the
and passing through the intersection of the lines
and
, where
, is
![](https://gradeup-question-images.grdp.co/liveData/PROJ56516/1597752375687928.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ56516/1597752376430512.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ56516/1597752377166224.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ56516/1597752377918711.png)
Question 2
The straight lines of the family
(
being parameters) are
![](https://gradeup-question-images.grdp.co/liveData/PROJ55803/1597146735506674.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ55803/1597146736249265.png)
Question 3
If the foot of the perpendicular from the origin to a straight line is at point
. Then the equation of the line is
![](https://gradeup-question-images.grdp.co/liveData/PROJ54786/1596089811113323.png)
Question 4
If the axes are rotated through an angle of
in the clockwise direction, the coordinates of a point in the new system are
, then its original coordinates are
![](https://gradeup-question-images.grdp.co/liveData/PROJ54786/1596089854047321.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ54786/1596089854829546.png)
Question 5
If one of the lines represented by the equation
is a bisector of the angle between the lines
, then
?
![](https://gradeup-question-images.grdp.co/liveData/PROJ54786/1596089891113271.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ54786/1596089892067849.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ54786/1596089893538361.png)
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