# Straight lines Questions and answers

Topics

1). The distance of the point (-2, 3) from the line x -y = 5 is:
 A). $$\Large 5\sqrt{2}$$ B). $$\Large 2\sqrt{5}$$ C). $$\Large 3\sqrt{5}$$ D). $$\Large 5\sqrt{3}$$
2). The equation of the straight line joining the origin to the point of intersection of $$\Large y-x+7=0\ and\ y+2x-2=0$$is:
 A). $$\Large 3x+4y=0$$ B). $$\Large 3x-4y=0$$ C). $$\Large 4x-3y=0$$ D). $$\Large 4x+3y=0$$
3). The equation of the straight line which is perpendicular to$$\Large y = x$$ and passes through (3, 2) is:
 A). $$\Large x-y = 5$$ B). $$\Large x+y = 5$$ C). $$\Large x+y = 1$$ D). $$\Large x-y = 1$$
4). The angle between the straight lines $$\Large x-y\sqrt{3}=5\ and\ \sqrt{3}x+y=7$$ is:
 A). $$\Large 90 ^{\circ}$$ B). $$\Large 60 ^{\circ}$$ C). $$\Large 75 ^{\circ}$$ D). $$\Large 30 ^{\circ}$$
5). The three straight lines $$\Large ax+by=c,\ bx+cy=a\ and\ cx+ay=b$$ are collinear if:
 A). $$\Large a+b+c = 0$$ B). $$\Large c+a=b$$ C). $$\Large b+c=a$$ D). $$\Large a+b=c$$

6). If a tangent to the curve $$\Large y=6x-x^{2}$$ is parallel to the line $$\Large 4x-2y-1=0$$ then the point of tangency on the curve is: ' _
 A). (6, 1) B). (8, 2) C). (2, 8) D). (4, 2)
7). Distance between the lines $$\Large 5x+3y-7=0\ and\ 15x+9y+14=0$$ is:
 A). $$\Large \frac{35}{\sqrt{34}}$$ B). $$\Large \frac{1}{\sqrt{34}}$$ C). $$\Large \frac{35}{2\sqrt{34}}$$ D). $$\Large \frac{35}{3\sqrt{34}}$$
8). The equation of the sides of a triangle are $$\Large x-3y=0.\ 4x+3y=5\ and\ 3x+y=0$$. The lines $$\Large 3x-4y=0$$ passage through
 A). the incentre B). the centroid C). the orthocentre D). the circumcentre
9). If (-4, -5) is one vertex and $$\Large 7x-y+8=0$$ is one diagonal of a square then the equation of second diagonal is:
 A). $$\Large x+3y=21$$ B). $$\Large 2x-3y=7$$ C). $$\Large x+7y=31$$ D). $$\Large 2x+3y=21$$
10). The number of the straight which is equally inclined to both the axes is
 A). 4 B). 3 C). 5 D). 1
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