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Find the nearest point on the line 2x + ...

Find the nearest point on the line `2x + y = 5` from the origin.

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FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY -Additional Questions Solved
  1. Find the nearest point on the line 2x + y = 5 from the origin.

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  2. A point moves so that square of its distance from the point (3,-2) is ...

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  3. Find the Locus of the mid points of the line x cos theta + y sin theta...

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  4. Show that the locus of the mid - point of the segment intercepted betw...

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  5. The line x/a+y/b=1 moves in such a way that 1/a^2+1/b^2=1/c^2 . Wehre ...

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  6. Find the equation of a straight on which length of perpendicular from ...

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  7. Find the equation of the line which passes through the point (-4,3) an...

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  8. If the intercept of a line between the corrdinatinate axes is divided ...

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  9. Find the equation of the straight line which passes through the point ...

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  10. Find the distance of the line 4x - y = 0 from the point P (4,1) measur...

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  11. Find the equation of the line passing through the point (5,2) and perp...

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  12. Find the equation of the line passing through the point of intersectio...

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  13. A line points (a,2a) and (-2,3) is perpendicular to the line 4x + 3y +...

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  14. Find the equation of the straight line which passes through the inters...

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  15. Find the equation of the straight line through the intersection of 5x...

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  16. Find the angle between the pair of straight lines given by

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  17. Show that 9x^2+24xy+16y^2+21x + 28y+ 6 =0 represents a pair of parall...

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  18. If the equation 12x^2-10xy+2y^2+14x-5y+c=0 represents a pair of straig...

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  19. For what value of k does 12x^2+7xy+ky^2+13x-y+3=0 represents a pair of...

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  20. Show that 3x^2+10xy+8y^2+14x+22y+15=0 represents a pair of straight li...

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