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Show that the line joining (2, -3) and (...

Show that the line joining (2, -3) and (- 5,1) is :
perpendicular to the line joining (4, 5) and (0, - 2).

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Show that the line : through (2, - 3) and (-1, 2) is perpendicular to the line joining (3, 7) and (- 2, 4).

Show that the line joining (2,-3) and (-5,1) is parallel to the line joining (7,-1) and (0,3).

Slope of the line joining (3,1) and (4,5) is :

Slope of the line joining (5,1) and (6,5) is :

Determine the value of k so that the lie joining the points A(k,1,-1), B(2,0,2k) is perpendicular to the line joining the points C(4,2k,1) and D(2,3,2)

Show that the line : through (0, 0) and (2, 3) is parallel to the line through (2, 2) and (4, 5) .

Find the equation of the plane passing through the point A(1, 2, 1) and perpendicular to the line joining the points P(1, 4, 2) and Q(2, 3, 5). Also, find the distance of this plane from the line (x+3)/(2)=(y-5)/(-1)=(z-7)/(-1)

Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, – 1), (4, 3, – 1).

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. What acute angle does a line of slope (-2)/3 make with a vertical line...

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  2. Show that the line joining the points (2,-3)and (-5,1) is parallel to ...

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  3. Show that the line joining (2, -3) and (- 5,1) is : perpendicular to...

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  4. Three points P (h, k), Q(x1, y1) and R (x2,y2) lie on a line. Show tha...

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  5. Show that the line : through (0, 0) and (2, 3) is parallel to the li...

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  6. Show that the line : through (- 2, 6) and (4, 8) is perpendicular to...

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  7. Show that the line : through (2, - 3) and (-1, 2) is perpendicular t...

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  8. State whether the two lines of the following problem is parallel, perp...

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  9. State whether the two lines of the following problem is parallel, perp...

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  10. State whether the two lines of the following problem is parallel, perp...

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  11. What is the value of y so that the line through (3,y) and (2,7) is par...

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  12. Without using the pythagorus, show that the points (4, 4), (3, 5) and ...

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  13. Find the values of x for which the points (x, -1), (2, 1) and (4, 5) a...

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  14. If three points A(h,0), B(a, b) and C(0, k) lie on line, show that (a)...

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  15. If points (a, 0), (0, b) and (x, y) are collinear, then write correct ...

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  16. Find the equation of the line, which is parallel to x-axis at a distan...

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  17. Draw the graph of the equations represented by a straight line which i...

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  18. Find the equation of the line, which is parallel to y-axis at a distan...

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  19. Find the equation of the line, which is parallel to y-axis at a distan...

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  20. Find the equation of the line parallel to x-axis and : passing throu...

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