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Find the of the image of the point (-2,3...

Find the of the image of the point (-2,3) about the line x+2y-9=0.

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Find the distance of the z-axis from the image of the point M(2-3,3) in the plane x-2y-z+1=0.

Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x - 3y + 4 = 0 .

Find the images of the point (1, 2, 3) in the plane x+2y+4z=38 .

The locus of the image of the point (2,3) in the line (x-2y+3)+lambda(2x-3y+4)=0 is (lambda in R) (a) x^2+y^2-3x-4y-4=0 (b) 2x^2+3y^2+2x+4y-7=0 (c) x^2+y^2-2x-4y+4=0 (d) none of these

FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY -EXERCISE - 6.3
  1. Show that the lines are 3x+2y+9=0 and 12x+8y-15=0 are parallel lines.

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  2. Find the equation of the straight line parallel to 5x-4y+3=0 and havin...

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  3. Find the distance between the line 4x+3y+4=0 and a point (i) (-2, 4) (...

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  4. Write the equation of the lines through the point (1,-1) (i) Paralle...

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  5. If (-4,7) is one vertex of a rhombus and if the equation of one diagon...

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  6. Find the equation of the lines passing through the point of intersecti...

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  7. Find the equations of two straight lines which are parallel to the lin...

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  8. Find the equations of straight lines which are perpendicular to the li...

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  9. Find the equation of a straight line parallel to 2x+3y=10 and which is...

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  10. Find the length of the perpendicular and the co-ordinates of the foot ...

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  11. Find the distance between the parallel lines 12x+5y=7 and 12x+5y+7=0

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  12. Find the family of straight lines (i) Perpendicular (ii) Parallel to 3...

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  13. If the line joining two points A(2,0) and B(3,1) is rotated about A in...

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  14. A ray of light coming from the point (1,2) is reflected at a point A o...

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  15. A line is drawn perpendicular to 5x=y+7. Find the equation of the line...

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  16. Find the of the image of the point (-2,3) about the line x+2y-9=0.

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  17. A photocopy store charge Rs 1.50 per copy for the first 10 copies and ...

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  18. Find at least two equations of the straight lines in the family of the...

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  19. Find all the equations of the straight lines in the family of the line...

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