Coordinate Geometry · NDA previous year questions

2012 33 questions

1. Q342012 · 15 Apr 2012

   Two poles are 10 m and 20 m high. The line joining their tips makes an angle of $15^{\circ }$ with the horizontal. What is the distance between the poles?

   1. A.$10(\sqrt{3}-1)\mathrm{m}$
   2. B.$5(4+2\sqrt{3})\mathrm{m}$
   3. C.$20(\sqrt{3}+1)\mathrm{m}$
   4. D.$10(\sqrt{3}+1)\mathrm{m}$
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   Answer: B

2. Q842012 · 15 Apr 2012

   How many tangents are parallel to x-axis for the curve $y=x^2-4x+3$ ?

   1. A.1
   2. B.2
   3. C.3
   4. D.No tangent is parallel to x-axis
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   Answer: A

3. Q952012 · 15 Apr 2012

   Let O be the origin and P, Q, R be the points such that $\overrightarrow{PO}+\overrightarrow{OQ}=\overrightarrow{QO}+\overrightarrow{OR}$. Then which one of the following is correct ?

   1. A.P, Q, R are the vertices of an equilateral triangle
   2. B.P, Q, R are the vertices of an isosceles triangle
   3. C.P, Q, R are collinear
   4. D.None of the above
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   Answer: C

4. Q962012 · 15 Apr 2012

   What is the value of $2{\log }_{8}2-\frac{1}{3}{\log }_{3}9$ ?

   1. A.0
   2. B.1
   3. C.2
   4. D.1/3
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   Answer: A

5. Q1012012 · 15 Apr 2012

   What is the eccentricity of the conic $4x^2+9y^2=144$?

   1. A.$\frac{\sqrt{5}}{3}$
   2. B.$\frac{\sqrt{5}}{4}$
   3. C.$\frac{3}{\sqrt{5}}$
   4. D.2/3
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   Answer: A

6. Q1042012 · 15 Apr 2012

   What is the perpendicular distance of the point (x, y) from x-axis?

   1. A.x
   2. B.y
   3. C.|x|
   4. D.|y|
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   Answer: D

7. Q1052012 · 15 Apr 2012

   If ABCD is a cyclic quadrilateral then what is $\sin A+\sin B-\sin C-\sin D$ equal to?

   1. A.0
   2. B.1
   3. C.2
   4. D.$2(\sin A+\sin B)$
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   Answer: A

8. Q1062012 · 15 Apr 2012

   What is the value of $\sin 420^{\circ }.\cos 390^{\circ }+\cos (-300^{\circ }).\sin (-330^{\circ })$?

   1. A.0
   2. B.1
   3. C.2
   4. D.-1
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   Answer: B