If the straight line through the point P...

If the straight line through the point P(3,4) makes an angle `pi//6` with the x-axis in the positive direction and meets the line `3x+5y+1=0` at Q the length PQ is

`30(sqrt(3)-1)`

`sqrt(3)-1`

`15(3sqrt(30)-5sqrt(10))`

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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1A

The distance of the line 3x-y=0 from the point (4,1) measured along a ...
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A line through (2, 3) makes and angle pi//4 with the positive directi...
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If the straight line through the point P(3,4) makes an angle pi//6 wit...
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The distance between the parallel lines 4x+3y+7=0, 12x+9y+1=0 is
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The distance between the parallel lines 2x-y+3=0, 2x-y-4=0 is
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The line L given by x/5+y/b=1 passes through the point (13,32). The li...
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The area (in square units) of the circle which touches the lines 4x+3y...
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The lines x+2y-3=0, x+2y+7=0, 2x-y-4=0 form three sides of two squares...
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The vetices of a triangle are O(0, 0), B(-3, -1), C(-1, -3). The equat...
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The point on the line x+y+3=0 whose distance from x+2y+2=0 is sqrt(5) ...
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If p1,p2 are the perpendicular distance from the origin to the two per...
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The slope of a straight line passing through A(5, 4) is -5//12. The p...
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A line passing through A(1, -2) has slope 1. The points on the line at...
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A line is drawn through P(3, 4) inclined at an angle 3pi/4 with x-axis...
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A line which makes an acute angle theta with the positive dirction of ...
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The ratio in which the line y = x divides the segment joining (2, 3) a...
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The ratio in which the line 3x-4y+5=0 divides the line segment joining...
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The ratio in which the line joining the points A(-1, -1) and B(2, 1) d...
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If A(2, -1) and B(6, 5) are two points the ratio in which the foot of ...
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Let 2x-3y+1=0 be a line. The points (3, 4), (1, 2) lie in
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