Question 13 Marks
ABCD is a rhombus. The coordinates of A and C are $(3,6)$ and $(-1,2)$ respectively. Write down the equation of BD .
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Question 23 Marks
(a) The line $4 x-3 y+12=0$ meets the $x$-axis at A . Write down the coordinates of A .
(b) Determine the equation of the line passing through A and perpendicular to $4 x-3 y+12=0$.
(b) Determine the equation of the line passing through A and perpendicular to $4 x-3 y+12=0$.
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Question 33 Marks
Find the equation of a line passing through the point $(-2,3)$ and having the $x$-intercept of 4 units.
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Question 43 Marks
Write down the equation of the line whose slope is $\frac{3}{2}$ and which passes through the point P , where P divides the line segment joining $A (-2,6)$ and $B (3,-4)$ in the ratio $2: 3$.
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Question 53 Marks
$P(3,4), Q(7,-2)$ and $R(-2,-1)$ are the vertices of $\triangle P Q R$. Write down the equation of the median of the triangle through R .
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Question 63 Marks
Find the equation of the line whose inclination is $30^{\circ}$ and which intersects the $y$-axis at the point $(0,-4)$.
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Question 73 Marks
If the lines $3 x-4 y+7=0$ and $2 x+k y+5=0$ are perpendicular to each other, then find the value of $k$.
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Question 83 Marks
If the lines $2 x+3 y=5$ and $k x-6 y=7$ are parallel, then find the value of $k$.
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Question 93 Marks
The equation of a line is $2 \sqrt{3} x-2 y+5=0$. Find (a) the slope (b) the inclination (c) $y$-intercept of the line.
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Question 103 Marks
Show that the points $(1,-9),(7,6)$ and $(3,-4)$ are collinear.
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