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The locus of the point of intersection o...

The locus of the point of intersection of the lines `x cosalpha + y sin alpha= p` and `x sinalpha-y cos alpha= q`, `alpha` is a variable will be

A

a circle

B

a straight line

C

a parabola

D

an ellipse

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IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2009-MCQs
  1. The distance between the line 3x+ 4y =9 and 6x+ 8y =15 is

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  2. The algebraic sum of the perpendicular distances from the points A(-2,...

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  3. The locus of the point of intersection of the lines x cosalpha + y sin...

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  4. Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2...

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  5. If the line 3x-2y+p = 0 is normal to the circle x^(2)+ y^(2) = 2x-4y,t...

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  6. Find k , if the line y = 2x + k touches the circle x^(2) + y^(2) -...

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  7. The equation of the common tangent to the parabolas y^(2)=2x and x^(2)...

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  8. The equation of the tangent to the parabola y^(2) = 8x, which is paral...

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  9. The distance of a point on ellipse (x^(2))/(6) + (y^(2))/(2) = 1 from ...

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  10. The distance between the foci of a hyperbola is 16 and its eccentricit...

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  11. The vector of magnitude 9 unit perpencular to the vectors 4hati - hat...

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  12. The value of ‘lambda ’ so that the vectors hati - 3̂ hatj + hatk , 2̂ ...

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  13. The line passing through the point -1, 2, 3 and perpendicular to the p...

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  14. Value of k such that the line (x-4)/1 = (y-2)/1 =(z-k)/2 lies in th...

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  15. Let L be the line of intersection of the planes 2x""+""3y""+""z""="...

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  16. If y=tan^(- 1)sqrt((1-cosx)/(1+cosx)), prove that (dy)/(dx)=1/2.

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  17. Lim(x-gt1)(1-x)T a n((pix)/2)=

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  18. Let f (x = {{: ((x^(2) - 4x + 3)/(x^(2) + 2x - 3), x ne 1),(k, x = 1):...

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  19. Find the point on the curve y = 2x^(2) - 6x - 4 at which the tangent i...

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  20. Find the point on the parabolas x^2=2y which is closest to the p...

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