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Show that the locus of the point of inte...

Show that the locus of the point of intersection of the stright lines `x sin theta -y(cos theta-1) = a sin theta and x sin theta-y(cos theta+1)+ a sin theta =0` is a circle, find the equation of the circle.

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The correct Answer is:
`x^(2)+y^(2)=a^(2)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)
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  2. Show that for all values of a,b and c the line (b-c)x+(c-a)y+a-b=0 alw...

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  5. Prove analytically that the bisectors of the interior angles of a tria...

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  8. Show that the lines x cos alpha+ y alpha=p, x cos (alpha+ (2pi)/(3)) +...

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  11. The line through A( a cos theta,0) and perpendicular to the x-axis mee...

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  12. P and Q are two point on the line x-y+1=0, if O is the origin and bar...

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  14. Show that the image of the point (h,k) with respect to the striaight l...

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  15. A point moves so that sum of the squares of its distances from the ve...

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  16. Find the locus of mid points of chords of the cirlce. x^(2)+y^(2)=a^(2...

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  17. A straight line is such that its segment between lines 5x-y-4=0 and 3x...

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  18. A rod of length a unit slides on the x-axis and another rod of length ...

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  19. A circle cuts intercepts of length 2a unit and 2b unit from the x-axis...

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  20. Let x^(2)+y^(2)-4x-2y-11=0 be a fixex circle.A pair of tangents to the...

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