Coordinate Geometry · NDA previous year questions

2013 31 questions

1. Q552013 · 14 Apr 2013

   The difference of focal distances of any point on a hyperbola is equal to

   1. A.latus rectum
   2. B.semi-transverse axis
   3. C.transverse axis
   4. D.semi-latus rectum
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   Answer: C

2. Q562013 · 14 Apr 2013

   What is the area of the triangle whose vertices are (3, 0), (0, 4) and (3, 4)?

   1. A.6 square unit
   2. B.7.5 square unit
   3. C.9 square unit
   4. D.12 square unit
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   Answer: A

3. Q572013 · 14 Apr 2013

   A straight line passes through the points (5, 0) and (0, 3). The length of the perpendicular from the point (4, 4) on the line is

   1. A.$\frac{\sqrt{17}}{2}$
   2. B.$\sqrt{\frac{17}{2}}$
   3. C.$\frac{15}{\sqrt{34}}$
   4. D.$\frac{17}{2}$
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   Answer: B

4. Q582013 · 14 Apr 2013

   What is the inclination of the line $\sqrt{3}x-y-1=0$?

   1. A.$30^{\circ }$
   2. B.$60^{\circ }$
   3. C.$135^{\circ }$
   4. D.$150^{\circ }$
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   Answer: B

5. Q622013 · 14 Apr 2013

   What is the area of the triangle whose vertices are (0, 0, 0), (1, 2, 3) and (-3, -2, 1)?

   1. A.$3\sqrt{5}$ square unit
   2. B.$6\sqrt{5}$ square unit
   3. C.6 square unit
   4. D.12 square unit
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   Answer: A

6. Q872013 · 14 Apr 2013

   What is the area of the parabola $y^2=x$ bounded by its latus rectum ?

   1. A.$\frac{1}{12}\text{ square unit}$
   2. B.$\frac{1}{6}\text{ square unit}$
   3. C.$\frac{1}{3}\text{ square unit}$
   4. D.None of the above
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   Answer: B