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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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AAKASH SERIES-STRAIGHT LINES-EXERCISE I
  1. If A(2, -1) and B(6, 5) are two points the ratio in which the foot of ...

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  2. The equation of the line passing through the point of intersection of ...

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  3. The lines x-y-2=0, x+y-4=0 and x+3y=6 meet in the common point

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  4. The value of k such that the lines 2x-3y+k=0, 3x-4y-13=0 and 8x-11y-33...

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  5. If the lines x+2ay+a=0, x+3by+b=0, x+4cy+c=0 are concurrent, then a, b...

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  6. The straight line 2x+3y-1=0,3x+4y-6=0 and ax+by+1=0 are concurrent if ...

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  7. The condition that the three different lines ax+by+c=0, bx+cy+a=0, cx+...

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  8. If l,m,n are in A.P then the liens represented by lx+my+n=0 are concur...

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

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  10. For all values of the a and b the lie (a+2b)x+(a-b)y+(a+5b)=0 passes t...

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  11. The locus of the point of intersection of the lines x cos alpha + y si...

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  12. The value of k, if the angle between the straight lines 4x-y+8=0,kx-5y...

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  13. The angle between the line joining the points (1,-2),(3,2) and the lin...

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  14. The angle between the lines x cos alpha + y sin alpha=p(1) and x cos b...

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  15. Foot of the perpendicular from (-2,3) on x-axis is

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  16. Image of (2,3) w.r.t to (-1,3) is

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  17. The equation of the straight line passing through the foot of the perp...

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  18. The image of the point (4, -13) with respect to the line 5x+y+6=0 is :

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  19. If the image of (-7//5, -6//5) in a line is (1, 2), then the equation ...

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  20. The point on the line 4x-y-2=0 which is equidistant from the points (-...

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