Coordinate Geometry · NDA previous year questions

2023 30 questions

1. Q562023 · 16 Apr 2023

   What is the equation of other diagonal ?

   1. A.x + 2y - 1 = 0
   2. B.x - 2y - 1 = 0
   3. C.2x + y + 1 = 0
   4. D.2x + y - 1 = 0
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   Answer: D

2. Q572023 · 16 Apr 2023

   Consider the following for the next two (02) items that follow : $P(x,y)$ is any point on the ellipse $x^2+4y^2=1$. Let E, F be the foci of the ellipse. What is PE + PF equal to ?

   1. A.1
   2. B.2
   3. C.3
   4. D.4
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   Answer: B

3. Q582023 · 16 Apr 2023

   Consider the following points : 1. $\left(\frac{\sqrt{3}}{2},0\right)$ 2. $\left(\frac{\sqrt{3}}{2},\frac{1}{4}\right)$ 3. $\left(\frac{\sqrt{3}}{2},-\frac{1}{4}\right)$ Which of the above points lie on latus rectum of ellipse ?

   1. A.1 and 2 only
   2. B.2 and 3 only
   3. C.1 and 3 only
   4. D.1, 2 and 3
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   Answer: D

4. Q592023 · 16 Apr 2023

   Consider the following for the next two (02) items that follow : The line $y=x$ partitions the circle $(x-a{)}^2+y^2=a^2$ in two segments. What is the area of minor segment ?

   1. A.$\frac{(\pi -2)a^2}{4}$
   2. B.$\frac{(\pi -1)a^2}{4}$
   3. C.$\frac{(\pi -2)a^2}{2}$
   4. D.$\frac{(\pi -1)a^2}{2}$
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   Answer: A

5. Q602023 · 16 Apr 2023

   Consider the following for the next two (02) items that follow : The line $y=x$ partitions the circle $(x-a{)}^2+y^2=a^2$ in two segments. What is the area of major segment ?

   1. A.$\frac{(3\pi -2)a^2}{4}$
   2. B.$\frac{(3\pi +2)a^2}{4}$
   3. C.$\frac{(3\pi -2)a^2}{2}$
   4. D.$\frac{(3\pi +2)a^2}{2}$
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   Answer: B