Coordinate Geometry · NDA previous year questions

2018 28 questions

1. Q562018 · 22 Apr 2018

   What is the equation of the ellipse whose vertices are $(\pm 5,0)$ and foci are at $(\pm 4,0)$?

   1. A.$\frac{x^2}{25}+\frac{y^2}{9}=1$
   2. B.$\frac{x^2}{16}+\frac{y^2}{9}=1$
   3. C.$\frac{x^2}{25}+\frac{y^2}{16}=1$
   4. D.$\frac{x^2}{9}+\frac{y^2}{25}=1$
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   Answer: A

2. Q572018 · 22 Apr 2018

   Let the coordinates of the points A, B, C be $(1,8,4)$, $(0,-11,4)$ and $(2,-3,1)$ respectively. What are the coordinates of the point D which is the foot of the perpendicular from A on BC?

   1. A.$(3,4,-2)$
   2. B.$(4,-2,5)$
   3. C.$(4,5,-2)$
   4. D.$(2,4,5)$
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   Answer: C

3. Q602018 · 22 Apr 2018

   The coordinates of the vertices P, Q and R of a triangle PQR are $(1,-1,1)$, $(3,-2,2)$ and $(0,2,6)$ respectively. If $\angle RQP=\theta$, then what is $\angle PRQ$ equal to?

   1. A.$30^{\circ }+\theta$
   2. B.$45^{\circ }-\theta$
   3. C.$60^{\circ }-\theta$
   4. D.$90^{\circ }-\theta$
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   Answer: D