PDF chapter test TRY NOW

1. Find the equation of a straight line parallel to \(Y\) axis and passing through the point of intersection of the lines \(4x + 5y = 13\) and \(x - 8y + 9 = 0\).
 
Answer:
 
The equation of the line is .
 
2. The line joining the points \(A(0,5)\) and \(B(4,1)\) is a tangent to a circle whose centre \(C\) is at the point \((4,4)\). Find
 
(i) the equation of the line \(AB\).
 
(ii) the equation of the line through \(C\) which is perpendicular to the line \(AB\).
 
(iii) the coordinates of the point of contact of tangent line \(AB\) with the circle.
 
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Answer:
 
(i) The equation of the line \(AB\) is .
 
(ii) The equation of the line through \(C\) which is perpendicular to the line \(AB\) is .
 
(iii) The coordinates of the point of contact of tangent line \(AB\) with the circle is ii,ii