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If 'theta' is the parameter, then the fa...

If `'theta'` is the parameter, then the family of lines `(2cos theta+3 sin theta)x+(3cos theta-5sin theta)y-(5cos theta-2sin theta)=0` pass through the fixed point

A

(0, 0)

B

(1, 1)

C

(0, 1)

D

(1, 0)

Text Solution

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-STRAIGHT LINES -EXERCISE 1B
  1. The point of concurrence of the lines (a+2b)x+(a-b)y+(a+5b)=0 is

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

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

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

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

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

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

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

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

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

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

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

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  13. The number of lines that can be drawn through the point (4, sqrt(13)) ...

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  14. The number of lines that can be drawn through the point (4, -5) at a d...

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  15. The centroid of the triangle formed by the lines x+y-1=0, x-y-1=0, x-3...

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  16. The point on the line 2x-3y=5 which is equidistant from (1, 2) and (3,...

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  17. The point on the line 3x+4y=5 which is equidistant from (1, 2) and (3,...

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  18. Let a, b, c and d be non-zero numbers. If the point of intersection of...

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  19. The circumcentre of a triangle with vertices (-2, 3), (2, -1), (4, 0)...

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  20. The circumcentre of the triangle passing through (1,sqrt(3)), (1, -sqr...

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