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  • Question 1
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    A ray of light along x+√3y=√3 gets reflected upon reaching x-axis. Equation of the reflected rays is

  • Question 2
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    A line segment of 2 units is sliding with its ends on two perpendicular lines. Then the locus of the middle point, is

  • Question 3
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    The distance between the parallel lines \(3 \cos \theta+4 \sin \theta+\frac{5}{r}=0\) and \(6 \cos \theta+8 \sin \theta+\frac{7}{r}=0\) is

  • Question 4
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    The length of the normal from pole on the line rcos(θ−π/3)=5 is

  • Question 5
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    The angle made by the perpendicular of the line r(cosθ+√3sinθ)=5 with the polar axis is

  • Question 6
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    The curve with parametric equations x=3(cost+sint), y=4(cost−sint) is

  • Question 7
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    The equation of the line passing through \(\left(5, \tan ^{-1} \frac{3}{4}\right)\) and perpendicular to \(\cos \theta+2 \sin \theta=\frac{4}{r}\)

  • Question 8
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    A straight line L through the point (3,−2) is inclined at an angle 60o to the line √3x+y=1. lf L also intersects the x−axis, then the equation of L is

  • Question 9
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    If the line 2x+3y+12=0 cuts the axes at A and B, then the equation of the perpendicular bisector of AB is

  • Question 10
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    The straight line ax+by+c=0(a,b,c≠0) will pass through the first quadrant if

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