Straight Lines · JEE Main previous year questions

2020 4 questions

1. Q82020 · 6 Sept 2020 · Shift 1

   A ray of light coming from the point $(2,2\sqrt{3})$ is incident at an angle $30^{\circ }$ on the line $x=1$ at the point A. The ray gets reflected on the line $x=1$ and meets x-axis at the point B. Then, the line AB passes through the point :

   1. A.$(3,-\sqrt{3})$
   2. B.$(4,-\sqrt{3})$
   3. C.$\left(4,-\frac{\sqrt{3}}{2}\right)$
   4. D.$\left(3,-\frac{1}{\sqrt{3}}\right)$
   Show answer

   Answer: A

2. Q122020 · 3 Sept 2020 · Shift 2

   If a $△\mathrm{ABC}$ has vertices $\mathrm{A}(-1,7)$, $\mathrm{B}(-7,1)$ and $\mathrm{C}(5,-5)$, then its orthocentre has coordinates :

   1. A.$(-3,3)$
   2. B.$(3,-3)$
   3. C.$\left(\frac{3}{5},-\frac{3}{5}\right)$
   4. D.$\left(-\frac{3}{5},\frac{3}{5}\right)$
   Show answer

   Answer: A

3. Q132020 · 9 Jan 2020 · Shift 1

   Let C be the centroid of the triangle with vertices (3, –1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x + 3y – 1 = 0 and 3x – y + 1 = 0. Then the line passing through the points C and P also passes through the point :

   1. A.(–9, –7)
   2. B.(9, 7)
   3. C.(7, 6)
   4. D.(–9, –6)
   Show answer

   Answer: D

4. Q92020 · 7 Jan 2020 · Shift 2

   The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y to the line x = y is :

   1. A.3x - 2y = 0
   2. B.7x - 5y = 0
   3. C.2x - 3y = 0
   4. D.5x - 7y = 0
   Show answer

   Answer: D