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The locus of the point of intersection o...

The locus of the point of intersection of the lines `x cos alpha+y sin alpha =a and x sin alpha-y cos alpha=b`, where `alpha` is a parameter is

A

`x^(2)-y^(2)=a^(2)+b^(2)`

B

`x^(2)+y^(2)=a^(2)+b^(2)`

C

`x^(2)+y^(2)=a^(2)-b^(2)`

D

`x^(2)-y^(2)=a^(2)-b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The perpendicular distance of the straight line 7x+24y=15 from the po...

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  2. The vertical straight line passing through the point of intersection o...

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

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  4. A variable line drawn throgh the point of intersection of the lines x/...

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  5. Let a and be nonzero reals such that a ne b. Then the equation of the ...

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  6. The equation to the line passing through the intersection of (x)/(b)+(...

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  7. A straight line which makes equal intercepts on positive X and Y axes ...

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  8. The point of concurrence of the lines (3k+1) x-(2k+3)y+(9-k)=0 is

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  9. The point of concurrence of the lines (a+2b)x+(a-b)y+(a+5b)=0 is

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  10. The point of concurrence of the lines (2a+5b)x+(3a-2b)y-5a-3b=0 is

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  11. If 'theta' is the parameter, then the family of lines (2cos theta+3 si...

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  12. If a, b, c are in A.P, the lines ax+by+c=0 pass through the fixed poin...

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  13. If a, b, c are in A.P, then the lines ax+by+c=0

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  14. If 3a+2b+4c=0 then the lines ax+by+c=0 pass through the fixed point

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  15. If 4a^(2)+9b^(2)-c^(2)+12ab=0, then the set of lines ax+by+c=0 pass th...

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  16. k is a nonzero constant. If k=(a+b)/(ab) then the straight line (x)/(a...

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  17. The equations of the sides bar(BC), bar(CA), bar(AB) of a triangle ABC...

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  18. The lines 2x+3y=6, 2x+3y=8 cut the X-axis at A, B respectively. A line...

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  19. The number of lines that can be drawn through the point (-3, 4) at a d...

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  20. The number of lines that can be drawn through the point (5,2) at a dis...

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