Coordinate Geometry · NDA previous year questions

2011 30 questions

1. Q772011 · 17 Apr 2011

   What is the equation of the line joining the origin with the point of intersection of the lines $4x+3y=12$ and $3x+4y=12$?

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

2. Q782011 · 17 Apr 2011

   If the sum of the squares of the distances of the point $(x,y)$ from the points $(a,0)$ and $(-a,0)$ is $2b^2$, then which one of the following is correct?

   1. A.$x^2+a^2=b^2+y^2$
   2. B.$x^2+a^2=2b^2-y^2$
   3. C.$x^2-a^2=b^2+y^2$
   4. D.$x^2+a^2=b^2-y^2$
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   Answer: D

3. Q792011 · 17 Apr 2011

   If $f(x)=2^x$, then what is $f^{\prime \prime }(x)$ equal to?

   1. A.$2^x(\ln 2{)}^2$
   2. B.$x(x-1)2^{x-2}$
   3. C.$2^{x+1}(\ln 2)$
   4. D.$2^x({\log }_{10}2{)}^2$
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   Answer: A

4. Q1022011 · 17 Apr 2011

   For the equation $a{x}^2+b{y}^2+2hxy+2gx+2fy+c=0$ where $a\ne 0$, to represent a circle, the condition will be

   1. A.$a=b$ and $c=0$
   2. B.$f=g$ and $h=0$
   3. C.$a=b$ and $h=0$
   4. D.$f=g$ and $c=0$
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   Answer: C

5. Q1092011 · 17 Apr 2011

   What is the locus of a point which moves equidistant from the coordinate axes?

   1. A.$x\pm y=0$
   2. B.$x+2y=0$
   3. C.$2x+y=0$
   4. D.None of the above
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   Answer: A