Straight Lines · JEE Main previous year questions

2019 7 questions

1. Q182019 · 12 Apr 2019 · Shift 1

   The equation $y=\sin x\sin (x+2)-{\sin }^2(x+1)$ represents a straight line lying in :

   1. A.first, second and fourth quadrants
   2. B.first, third and fourth quadrants
   3. C.second and third quadrants only
   4. D.third and fourth quadrants only
   Show answer

   Answer: D

2. Q102019 · 12 Apr 2019 · Shift 2

   A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of $60^{\circ }$ with the line $x+y=0$. Then an equation of the line L is :

   1. A.$x+\sqrt{3}y=8$
   2. B.$\sqrt{3}x+y=8$
   3. C.$(\sqrt{3}+1)x+(\sqrt{3}-1)y=8\sqrt{2}$
   4. D.$(\sqrt{3}-1)x+(\sqrt{3}+1)y=8\sqrt{2}$
   Show answer

   Answer: C, D

3. Q212019 · 12 Apr 2019 · Shift 2

   A triangle has a vertex at $(1,2)$ and the mid points of the two sides through it are $(-1,1)$ and $(2,3)$. Then the centroid of this triangle is :

   1. A.$\left(\frac{1}{3},2\right)$
   2. B.$\left(\frac{1}{3},\frac{5}{3}\right)$
   3. C.$\left(1,\frac{7}{3}\right)$
   4. D.$\left(\frac{1}{3},1\right)$
   Show answer

   Answer: A

4. Q262019 · 10 Apr 2019 · Shift 2

   If the line ax + y = c, touches both the curves $x^2+y^2=1$ and $y^2=4\sqrt{2}x$ , then |c| is equal to :

   1. A.2
   2. B.$\sqrt{2}$
   3. C.$\frac{1}{\sqrt{2}}$
   4. D.$\frac{1}{2}$
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   Answer: B

5. Q82019 · 9 Apr 2019 · Shift 1

   Slope of a line passing through P(2, 3) and intersecting the line, x + y = 7 at a distance of 4 units from P, is :

   1. A.$\frac{\sqrt{7}-1}{\sqrt{7}+1}$
   2. B.$\frac{\sqrt{5}-1}{\sqrt{5}+1}$
   3. C.$\frac{1-\sqrt{5}}{1+\sqrt{5}}$
   4. D.$\frac{1-\sqrt{7}}{1+\sqrt{7}}$
   Show answer

   Answer: D

6. Q132019 · 12 Jan 2019 · Shift 1

   If the straight line, $2x-3y+17=0$ is perpendicular to the line passing through the points $(7,17)$ and $(15,\beta )$, then $\beta$ equals :

   1. A.$\frac{35}{3}$
   2. B.$-5$
   3. C.$-\frac{35}{3}$
   4. D.5
   Show answer

   Answer: D

7. Q172019 · 12 Jan 2019 · Shift 2

   If a straight line passing through the point P(–3, 4) is such that its intercepted portion between the coordinate axes is bisected at P, then its equation is :

   1. A.x – y + 7 = 0
   2. B.4x – 3y + 24 = 0
   3. C.4x + 3y = 0
   4. D.3x – 4y + 25 = 0
   Show answer

   Answer: B